F. Bourliot, J. Estes, P. M. Petropoulos, and P. Spindel, Gravitational instantons, self-duality, and geometric flows, Physical Review D, vol.81, issue.10, p.104001, 2010.
DOI : 10.1103/PhysRevD.81.104001
URL : http://arxiv.org/abs/0906.4558

M. Cveti?, G. W. Gibbons, H. Lu, and C. Pope, holonomy, Physical Review D, vol.65, issue.10, p.106004, 2002.
DOI : 10.1103/PhysRevD.65.106004

I. Bakas, D. Orlando, and P. Petropoulos, Ricci flows and expansion in axion?dilaton cosmology J. High Energy Phys, JHEP01, vol.arXiv, p.40, 2007.

I. Bakas, F. Bourliot, D. Lüst, and P. Petropoulos, Geometric flows in Ho?ava?Lifshitz gravity J. High Energy Phys, JHEP04, vol.131, 2010.

D. S. Mansi, A. C. Petkou, and G. Tagliabue, Gravity in the 3 + 1-split formalism: I. Holography as an initial value problem Class. Quantum Grav, p.45008, 2009.

D. S. Mansi, A. C. Petkou, and G. Tagliabue, Gravity in the 3 + 1-split formalism: II. Self-duality and the emergence of the gravitational Chern?Simons in the boundary Class. Quantum Grav, pp.26-045009, 2009.

E. Corrigan, C. Devchand, D. Fairlie, and J. Nuyts, First-order equations for gauge fields in spaces of dimension greater than four, Nuclear Physics B, vol.214, issue.3, p.452, 1983.
DOI : 10.1016/0550-3213(83)90244-4

J. M. Maldacena, A. Strominger, and E. Witten, Black hole entropy in M-Theory, Journal of High Energy Physics, vol.1997, issue.12, p.2, 1997.
DOI : 10.1088/1126-6708/1997/12/002

K. Behrndt, D. Lüst, and W. A. Sabra, Stationary solutions of N = 2 supergravity, Nuclear Physics B, vol.510, issue.1-2, 1998.
DOI : 10.1016/S0550-3213(98)81014-6

F. Denef, Supergravity flows and D-brane stability, Journal of High Energy Physics, vol.2000, issue.08, 2000.
DOI : 10.1088/1126-6708/2000/08/050

J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis, and H. S. , All supersymmetric solutions of minimal supergravity in five dimensions, Classical and Quantum Gravity, vol.20, issue.21, 2003.
DOI : 10.1088/0264-9381/20/21/005

R. R. Khuri and T. Ortín, A nonsupersymmetric dyonic extreme Reissner-Nordstrom black hole, Phys. Lett. B, vol.373, issue.56, 1996.

D. Rasheed, The rotating dyonic black holes of Kaluza-Klein theory, Nuclear Physics B, vol.454, issue.1-2, 1995.
DOI : 10.1016/0550-3213(95)00396-A

T. Ortín, Extremality versus supersymmetry in stringy black holes, Physics Letters B, vol.422, issue.1-4, 1998.
DOI : 10.1016/S0370-2693(98)00040-9

F. Larsen, Rotating Kaluza???Klein black holes, Nuclear Physics B, vol.575, issue.1-2, 2000.
DOI : 10.1016/S0550-3213(00)00064-X
URL : http://doi.org/10.1016/s0550-3213(00)00064-x

G. Lopes-cardoso, A. Ceresole, G. Dall-'agata, J. M. Oberreuter, and J. Perz, First-order flow equations for extremal black holes in very special geometry, JHEP, vol.10, p.63, 2007.

E. G. Gimon, F. Larsen, and J. Simon, Black holes in supergravity: the non-BPS branch, Journal of High Energy Physics, vol.1, issue.01, p.40, 2008.
DOI : 10.1016/S0370-2693(97)00687-4

K. Goldstein and S. Katmadas, Almost BPS black holes, Journal of High Energy Physics, vol.2006, issue.05, pp.5-058, 2009.
DOI : 10.1142/S0217751X08039724

G. Bossard, H. Nicolai, and K. Stelle, Universal BPS structure of stationary supergravity solutions, Journal of High Energy Physics, vol.23, issue.07, p.3, 2009.
DOI : 10.2748/tmj/1178207418
URL : https://hal.archives-ouvertes.fr/hal-00507509

I. Bena, G. Dall-'agata, S. Giusto, C. Ruef, and N. P. Warner, Non-BPS black rings and black holes in Taub-NUT, Journal of High Energy Physics, vol.2007, issue.06, p.15, 2009.
DOI : 10.1103/PhysRevLett.87.011602

G. Bossard and H. Nicolai, Multi-black holes from nilpotent Lie algebra orbits, General Relativity and Gravitation, vol.74, issue.3, 2010.
DOI : 10.1007/s10714-009-0870-2
URL : https://hal.archives-ouvertes.fr/hal-00507511

I. Bena, S. Giusto, C. Ruef, and N. P. Warner, Multi-center non-BPS black holes ??? the solution, Journal of High Energy Physics, vol.25, issue.11, p.32, 2009.
DOI : 10.1016/j.physrep.2008.08.001
URL : http://arxiv.org/abs/0908.2121

G. Bossard, EXTREMAL BLACK HOLES AND NILPOTENT ORBITS, XVIth International Congress on Mathematical Physics
DOI : 10.1142/9789814304634_0051
URL : https://hal.archives-ouvertes.fr/hal-00409814

I. Bena, S. Giusto, C. Ruef, and N. P. Warner, Supergravity solutions from floating branes, Journal of High Energy Physics, vol.10, issue.3, p.47, 2010.
DOI : 10.1007/JHEP03(2010)047
URL : http://arxiv.org/abs/0910.1860

G. Bossard and C. Ruef, Interacting non-BPS black holes, General Relativity and Gravitation, vol.0604, issue.1, 2012.
DOI : 10.1007/s10714-011-1256-9
URL : http://arxiv.org/abs/1106.5806

G. Bossard and S. Katmadas, Duality covariant non-BPS first order systems, Journal of High Energy Physics, vol.07, issue.9, 2012.
DOI : 10.1007/JHEP09(2012)100
URL : http://arxiv.org/abs/1205.5461

A. Ceresole and G. Dall-'agata, Flow equations for non-BPS extremal black holes, Journal of High Energy Physics, vol.2005, issue.03, 2007.
DOI : 10.1103/PhysRevD.74.065008
URL : http://arxiv.org/abs/hep-th/0702088

A. Ceresole, G. Dall-'agata, S. Ferrara, and A. Yeranyan, Universality of the superpotential for extremal black holes, Nuclear Physics B, vol.832, issue.1-2, p.358, 2010.
DOI : 10.1016/j.nuclphysb.2010.02.015

A. Ceresole, G. Dall-'agata, S. Ferrara, and A. Yeranyan, First order flows for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> extremal black holes and duality invariants, Nuclear Physics B, vol.824, issue.1-2, p.239, 2010.
DOI : 10.1016/j.nuclphysb.2009.09.003

G. Bossard, Y. Michel, and B. Pioline, Extremal black holes, nilpotent orbits and the true fake superpotential, Journal of High Energy Physics, vol.824, issue.1, p.38, 2010.
DOI : 10.1007/JHEP01(2010)038
URL : https://hal.archives-ouvertes.fr/hal-00409814

M. M. Caldarelli and D. Klemm, Supersymmetry of anti-de Sitter black holes, Nuclear Physics B, vol.545, issue.1-3, 1999.
DOI : 10.1016/S0550-3213(98)00846-3

W. Sabra, Anti-de Sitter BPS black holes in N=2 gauged supergravity, Physics Letters B, vol.458, issue.1, 1999.
DOI : 10.1016/S0370-2693(99)00564-X

S. L. Cacciatori and D. Klemm, Supersymmetric AdS 4 black holes and attractors, p.85, 2010.
DOI : 10.1007/jhep01(2010)085
URL : http://arxiv.org/abs/0911.4926

G. Dall-'agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP, vol.03, pp.37-1012, 2011.

K. Hristov and S. Vandoren, Static supersymmetric black holes in AdS 4 with spherical symmetry, JHEP, vol.04, pp.47-1012, 2011.
DOI : 10.1007/jhep04(2011)047
URL : http://arxiv.org/abs/1012.4314

D. Klemm and O. Vaughan, Nonextremal black holes in gauged supergravity and the real formulation of special geometry II, Classical and Quantum Gravity, vol.30, issue.6
DOI : 10.1088/0264-9381/30/6/065003

C. Toldo and S. Vandoren, Static nonextremal AdS 4 black hole solutions, JHEP, vol.09, p.48, 2012.
DOI : 10.1007/jhep09(2012)048
URL : http://arxiv.org/abs/1207.3014

M. Berkooz, D. Reichmann, and J. Simon, A Fermi Surface Model for Large Supersymmetric AdS 5 Black Holes, JHEP, vol.01, issue.0604023, p.48, 2007.

J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 Dimensional Super Conformal Theories, Communications in Mathematical Physics, vol.91, issue.1, 2007.
DOI : 10.1007/s00220-007-0258-7

R. Kallosh, N. Sivanandam, and M. Soroush, Exact attractive non-BPS STU black holes, Physical Review D, vol.74, issue.6, p.65008, 2006.
DOI : 10.1103/PhysRevD.74.065008

P. K. Tripathy and S. P. Trivedi, Non-supersymmetric attractors in string theory, Journal of High Energy Physics, vol.2004, issue.03, p.22, 2006.
DOI : 10.1016/0550-3213(91)90292-6

K. Goldstein, N. Iizuka, R. P. Jena, and S. P. Trivedi, Nonsupersymmetric attractors, Physical Review D, vol.72, issue.12, p.124021, 2005.
DOI : 10.1103/PhysRevD.72.124021

A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity, Journal of High Energy Physics, vol.1998, issue.09, 2005.
DOI : 10.1103/PhysRevD.50.846

S. Nampuri, P. K. Tripathy, and S. P. Trivedi, On the stability of non-supersymmetric attractors in string theory, Journal of High Energy Physics, vol.2007, issue.08, p.54, 2007.
DOI : 10.1016/S0370-2693(97)00075-0

S. Ferrara and A. Marrani, On the Moduli Space of non-BPS Attractors for

B. De-wit and M. Van-zalk, Electric and magnetic charges in N???=???2 conformal supergravity theories, Journal of High Energy Physics, vol.04, issue.10, p.50, 2011.
DOI : 10.1007/JHEP10(2011)050

B. De-wit, P. Lauwers, and A. Van-proeyen, Lagrangians of N = 2 supergravity-matter systems, Lagrangians of N = 2 Supergravity -Matter Systems, p.569, 1985.
DOI : 10.1016/0550-3213(85)90154-3

E. Cremmer, Vector multiplets coupled to N=2 supergravity: Super-Higgs effect, flat potentials and geometric structure, Nuclear Physics B, vol.250, issue.1-4, p.385, 1985.
DOI : 10.1016/0550-3213(85)90488-2
URL : http://doi.org/10.1016/0550-3213(85)90488-2

D. Astefanesei, K. Goldstein, R. P. Jena, A. Sen, and S. P. Trivedi, Rotating attractors, Journal of High Energy Physics, vol.14, issue.10, p.58, 2006.
DOI : 10.1016/0370-2693(96)00676-4

B. De-wit, H. Samtleben, and M. Trigiante, Magnetic charges in local field theory, JHEP, vol.09, issue.0507289, p.16, 2005.

A. Ceresole, S. Ferrara, and A. Marrani, Small extremal black holes in special geometry, Physics Letters B, vol.693, issue.3, pp.366-1006, 2007.
DOI : 10.1016/j.physletb.2010.08.053

L. Borsten, M. Duff, S. Ferrara, A. Marrani, and W. Rubens, Small orbits, Physical Review D, vol.85, issue.8, p.86002, 2012.
DOI : 10.1103/PhysRevD.85.086002

P. Galli, K. Goldstein, S. Katmadas, and J. Perz, First-order flows and stabilisation equations for non-BPS extremal black holes, Journal of High Energy Physics, vol.07, issue.6, p.70, 2011.
DOI : 10.1007/JHEP06(2011)070
URL : http://arxiv.org/abs/1012.4020

G. Bossard, Octonionic black holes, Journal of High Energy Physics, vol.4, issue.5, 2012.
DOI : 10.1007/JHEP05(2012)113

L. Andrianopoli, M. Bertolini, A. Ceresole, R. D-'auria, and S. Ferrara, N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance gaugings and the momentum map, Journal of Geometry and Physics, vol.23, issue.2, p.111, 1997.
DOI : 10.1016/S0393-0440(97)00002-8

A. Ceresole, R. D. Auria, and S. Ferrara, The symplectic structure of N=2 supergravity and its central extension, Nuclear Physics B - Proceedings Supplements, vol.46, issue.1-3, 1996.
DOI : 10.1016/0920-5632(96)00008-4

R. Kallosh and T. Ortín, Killing spinor identities, hep-th, p.9306085

K. Hristov, H. Looyestijn, and S. Vandoren, Maximally supersymmetric solutions of D = 4 N = 2 gauged supergravity, 2009.

J. Louis, P. Smyth, and H. Triendl, Supersymmetric vacua in N = 2 supergravity, Journal of High Energy Physics, vol.389, issue.8, p.39, 2012.
DOI : 10.1007/JHEP08(2012)039
URL : https://hal.archives-ouvertes.fr/cea-00825605

A. Strominger, Macroscopic entropy of N = 2 extremal black holes, Physics Letters B, vol.383, issue.1, 1996.
DOI : 10.1016/0370-2693(96)00711-3

S. Ferrara and R. Kallosh, Supersymmetry and attractors, Physical Review D, vol.54, issue.2, p.1514, 1996.
DOI : 10.1103/PhysRevD.54.1514
URL : http://arxiv.org/abs/hep-th/9602136

D. Cassani, P. Koerber, and O. Varela, All homogeneous N???=???2??M-theory truncations with supersymmetric AdS4 vacua, Journal of High Energy Physics, vol.18, issue.11, 2012.
DOI : 10.1007/JHEP11(2012)173

D. Klemm and E. Zorzan, supergravity with Fayet-Iliopoulos gauging, Physical Review D, vol.82, issue.4, p.45012, 2010.
DOI : 10.1103/PhysRevD.82.045012

L. Andrianopoli, R. D-'auria, S. Ferrara, and M. Lledó, Gauging of Flat Groups in Four Dimensional Supergravity, Journal of High Energy Physics, vol.7, issue.07, p.10, 2002.
DOI : 10.1016/0550-3213(82)90120-1

O. Aharony, M. Berkooz, J. Louis, and A. Micu, Non-Abelian structures in compactifications of M-theory on seven-manifolds with SU(3) structure, Journal of High Energy Physics, vol.2008, issue.09, 2008.
DOI : 10.1088/1126-6708/2008/09/108

H. Looyestijn, E. Plauschinn, and S. Vandoren, New potentials from Scherk-Schwarz reductions, Journal of High Energy Physics, vol.635, issue.12, p.16, 2010.
DOI : 10.1007/JHEP12(2010)016
URL : http://arxiv.org/abs/1008.4286

S. Cecotti, S. Ferrara, and L. Girardello, GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES, International Journal of Modern Physics A, vol.04, issue.10, p.2475, 1989.
DOI : 10.1142/S0217751X89000972

J. Louis, P. Smyth, and H. Triendl, Spontaneous $$ \mathcal{N} $$ = 2 ??? $$ \mathcal{N} $$ = 1 supersymmetry breaking in supergravity and type II string theory, Journal of High Energy Physics, vol.728, issue.2, p.2, 2010.
DOI : 10.1007/JHEP02(2010)103

I. Bena, H. Triendl, and B. Vercnocke, Camouflaged supersymmetry in solutions of extended supergravities, Physical Review D, vol.86, issue.6, p.61701, 2012.
DOI : 10.1103/PhysRevD.86.061701
URL : https://hal.archives-ouvertes.fr/cea-00825615

I. Bena, H. Triendl, and B. Vercnocke, Black holes and fourfolds, Journal of High Energy Physics, vol.11, issue.8, 2012.
DOI : 10.1007/JHEP08(2012)124
URL : https://hal.archives-ouvertes.fr/cea-00825607

R. Emparan and G. T. Horowitz, Microstates of a Neutral Black Hole in M Theory, Physical Review Letters, vol.97, issue.14, p.141601, 2006.
DOI : 10.1103/PhysRevLett.97.141601

R. Emparan and A. Maccarrone, Statistical description of rotating Kaluza-Klein black holes, Physical Review D, vol.75, issue.8, p.84006, 2007.
DOI : 10.1103/PhysRevD.75.084006

G. T. Horowitz and M. M. Roberts, Counting the Microstates of a Kerr Black Hole in M Theory, Physical Review Letters, vol.99, issue.22, p.221601, 2007.
DOI : 10.1103/PhysRevLett.99.221601

E. G. Gimon, F. Larsen, and J. Simon, Constituent model of extremal non-BPS black holes, Journal of High Energy Physics, vol.2007, issue.07, p.52, 2009.
DOI : 10.1103/PhysRevD.57.3509

A. Dabholkar, A. Sen, and S. P. Trivedi, Black hole microstates and attractor without supersymmetry, Journal of High Energy Physics, vol.2006, issue.01, p.96, 2007.
DOI : 10.1103/PhysRevD.54.2612
URL : http://arxiv.org/abs/hep-th/0611143

D. Astefanesei, K. Goldstein, and S. Mahapatra, Moduli and (un)attractor black hole thermodynamics, General Relativity and Gravitation, vol.245, issue.10, p.2069, 2008.
DOI : 10.1007/s10714-008-0616-6
URL : http://arxiv.org/abs/hep-th/0611140

I. Bena, M. Guica, and W. Song, Un-twisting the NHEK with spectral flows, Journal of High Energy Physics, vol.244, issue.3
DOI : 10.1007/JHEP03(2013)028
URL : https://hal.archives-ouvertes.fr/cea-00843302

P. Galli, T. Ortín, J. Perz, and C. S. Shahbazi, Non-extremal black holes of N???=???2, d???=???4 supergravity, Journal of High Energy Physics, vol.56, issue.7, p.41, 2011.
DOI : 10.1007/JHEP07(2011)041

P. Breitenlohner, D. Maison, and G. W. Gibbons, 4-Dimensional black holes from Kaluza-Klein theories, Communications in Mathematical Physics, vol.155, issue.2, p.295, 1988.
DOI : 10.1007/BF01217967

S. L. Cacciatori, D. Klemm, D. S. Mansi, and E. Zorzan, = 4 gauged supergravity coupled to abelian vector multiplets, Journal of High Energy Physics, vol.24, issue.05, p.97, 2008.
DOI : 10.1016/j.physletb.2005.04.026

A. Van-proeyen and B. Vercnocke, Effective action for the field equations of charged black holes, Classical and Quantum Gravity, vol.25, issue.3, p.35010, 2008.
DOI : 10.1088/0264-9381/25/3/035010

V. E. Hubeny, S. Minwalla, and M. Rangamani, The fluid/gravity correspondence
DOI : 10.1017/CBO9781139004176.014
URL : https://hal.archives-ouvertes.fr/hal-00705158

C. P. Herzog, Lectures on holographic superfluidity and superconductivity, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.34, p.42, 2009.
DOI : 10.1088/1751-8113/42/34/343001

G. T. Horowitz, Introduction to Holographic Superconductors
DOI : 10.1007/978-3-642-04864-7_10
URL : http://arxiv.org/abs/1002.1722

N. R. Cooper, Rapidly rotating atomic gases, Advances in Physics, vol.48, issue.6, 2008.
DOI : 10.1103/PhysRevLett.50.1219
URL : http://arxiv.org/abs/0810.4398

A. L. Fetter, Rotating trapped Bose?Einstein condensates, Rev. Mod. Phys, vol.81, issue.647, 2009.
DOI : 10.1134/s1054660x08010015
URL : http://arxiv.org/abs/0801.2952

U. Leonhardt and P. Piwnicki, Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity, Physical Review Letters, vol.84, issue.5, 2000.
DOI : 10.1103/PhysRevLett.84.822

W. G. Unruh, Experimental Black-Hole Evaporation?, Physical Review Letters, vol.46, issue.21, p.1351, 1981.
DOI : 10.1103/PhysRevLett.46.1351

W. G. Unruh, Sonic analog of black holes and the effects of high frequencies on black hole evaporation, Phys. Rev, pp.51-2827, 1995.

C. Barcelò, S. Liberati, and M. Visser, Analogue gravity, Living Rev. Rel, vol.8, issue.12, 2005.

S. Liberati, A. Prain, and M. Visser, Quantum vacuum radiation in optical glass, Physical Review D, vol.85, issue.8
DOI : 10.1103/PhysRevD.85.084014
URL : http://arxiv.org/abs/1111.0214

J. Ehlers, Contributions to the relativistic mechanics of continuous media, General Relativity and Gravitation, vol.57, issue.I, p.1225, 1993.
DOI : 10.1007/BF00759031

H. Van-elst and C. Uggla, General relativistic 1 + 3-orthonormal frame approach revisited, Class. Quant. Grav, vol.149603026, p.2673, 1997.

S. Bhattacharyya, R. Loganayagam, S. Minwalla, S. Nampuri, S. P. Trivedi et al., Forced fluid dynamics from gravity, Journal of High Energy Physics, vol.2008, issue.02, pp.902-920, 2009.
DOI : 10.1103/PhysRevD.61.065007
URL : http://arxiv.org/abs/0806.0006

M. M. Caldarelli, O. J. Dias, R. Emparan, and D. Klemm, Black holes as lumps of fluid, Journal of High Energy Physics, vol.24, issue.04, p.24, 2009.
DOI : 10.1063/1.2800371

M. M. Caldarelli, O. J. Dias, and D. Klemm, Dyonic AdS black holes from magnetohydrodynamics, Journal of High Energy Physics, vol.24, issue.03, p.25, 2009.
DOI : 10.1103/PhysRevD.64.044005
URL : http://arxiv.org/abs/0812.0801

A. Papapetrou, Champs gravitationnels stationnaires à symétrie axiale, Ann. Inst. H. Poincaré, vol.4, issue.83, 1966.

G. Randers, On an Asymmetrical Metric in the Four-Space of General Relativity, Physical Review, vol.59, issue.2, 1941.
DOI : 10.1103/PhysRev.59.195

G. W. Gibbons, C. A. Herdeiro, C. M. Warnick, and M. C. Werner, Stationary metrics and optical Zermelo-Randers-Finsler geometry, Physical Review D, vol.79, issue.4, p.44022, 2009.
DOI : 10.1103/PhysRevD.79.044022
URL : http://arxiv.org/abs/0811.2877

R. G. Leigh, A. C. Petkou, and P. M. Petropoulos, Holographic three-dimensional fluids with nontrivial vorticity, Physical Review D, vol.85, issue.8, pp.85-086010, 2012.
DOI : 10.1103/PhysRevD.85.086010
URL : http://arxiv.org/abs/1108.1393

R. G. Leigh, A. C. Petkou, and P. M. Petropoulos, Holographic fluids with vorticity and analogue gravity systems
DOI : 10.1007/jhep11(2012)121
URL : http://arxiv.org/abs/1205.6140

E. Zermelo, Über das Navigationsproblem bei ruhender oder veränderlicher Windverteilung, Z. Angew. Math. Mech, vol.11, issue.114, 1931.

J. M. Bardeen, A Variational Principle for Rotating Stars in General Relativity, The Astrophysical Journal, vol.162, p.71, 1970.
DOI : 10.1086/150635

M. Bañados, C. Teitelboim, and J. Zanelli, Black hole in three-dimensional spacetime, Physical Review Letters, vol.69, issue.13, p.1849, 1992.
DOI : 10.1103/PhysRevLett.69.1849

W. G. Unruh, Experimental Black-Hole Evaporation?, Physical Review Letters, vol.46, issue.21, p.1351, 1981.
DOI : 10.1103/PhysRevLett.46.1351

W. G. Unruh, Sonic analog of black holes and the effects of high frequencies on black hole evaporation, Phys. Rev, pp.51-2827, 1995.

S. L. Cacciatori, F. Belgiorno, V. Gorini, G. Ortenzi, L. Rizzi et al., Spacetime geometries and light trapping in travelling refractive index perturbations, New Journal of Physics, vol.12, issue.9, p.95021, 2010.
DOI : 10.1088/1367-2630/12/9/095021

S. R. Das, A. Ghosh, J. Oh, and A. D. Shapere, On dumb holes and their gravity duals, Journal of High Energy Physics, vol.106, issue.4, pp.1104-1134, 2011.
DOI : 10.1007/JHEP04(2011)030
URL : http://arxiv.org/abs/1011.3822

J. Milnor, Curvatures of left invariant metrics on lie groups, Advances in Mathematics, vol.21, issue.3, 1976.
DOI : 10.1016/S0001-8708(76)80002-3

P. Scott, The Geometries of 3-Manifolds, Bulletin of the London Mathematical Society, vol.15, issue.5, p.15, 1983.
DOI : 10.1112/blms/15.5.401

A. K. Raychaudhuri and S. N. Thakurta, Homogeneous space?times of the Gödel type, Phys. Rev, vol.802, p.22, 1980.

M. J. Rebouças and J. Tiomno, Homogeneity of Riemannian space?times of Gödel type, Phys. Rev, pp.28-1251, 1983.

G. W. Gibbons and C. A. Herdeiro, Supersymmetric rotating black holes and causality violation, Classical and Quantum Gravity, vol.16, issue.11, 1999.
DOI : 10.1088/0264-9381/16/11/311
URL : http://arxiv.org/abs/hep-th/9906098

N. Drukker, B. Fiol, and J. Simon, Gödel type universes and the Landau problem, pp.410-422, 2004.

Y. Hikida and S. J. Rey, Can branes travel beyond CTC horizon in Gödel universe?, Nucl. Phys. B, vol.669, issue.57, 2003.
DOI : 10.1016/j.nuclphysb.2003.07.010
URL : http://doi.org/10.1016/j.nuclphysb.2003.07.010

D. Israel, Quantization of heterotic strings in a Goedel/Anti de Sitter spacetime and chronology protection, Journal of High Energy Physics, vol.2002, issue.01, p.42, 2004.
DOI : 10.1016/0550-3213(92)90237-6
URL : https://hal.archives-ouvertes.fr/hal-00000753

D. Israel, C. Kounnas, D. Orlando, and P. M. Petropoulos, Electric/magnetic deformations of S 3 and AdS 3 , and geometric cosets, Fortsch. Phys, vol.530405213, p.73, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00284880

D. Israel, C. Kounnas, D. Orlando, and P. M. Petropoulos, Heterotic strings on homogeneous spaces, Fortschritte der Physik, vol.104, issue.9, p.1030, 2005.
DOI : 10.1002/prop.200510250
URL : https://hal.archives-ouvertes.fr/hal-00284878

M. M. Caldarelli, D. Klemm, and P. J. Silva, Chronology protection in anti-de Sitter, Classical and Quantum Gravity, vol.22, issue.17, p.3461, 2005.
DOI : 10.1088/0264-9381/22/17/007
URL : http://arxiv.org/abs/hep-th/0411203

S. Deser, R. Jackiw, and S. Templeton, Topologically massive gauge theories Three-dimensional massive gauge theories, Ann. Phys. Erratum-ibid. Phys. Rev. Lett, vol.140, issue.406, pp.48-975, 1982.
DOI : 10.1103/physrevlett.48.975

M. Bañados, G. Barnich, G. Compère, and A. Gomberoff, Three-dimensional origin of Gödel spacetimes and black holes, Phys. Rev, vol.73, p.44006, 2006.

D. Anninos, W. Li, M. Padi, W. Song, and A. Strominger, Warped AdS 3 black holes, 2009.

D. Anninos, S. De-buyl, and S. Detournay, Holography for a De Sitter-Esque geometry, Journal of High Energy Physics, vol.122, issue.34, pp.1105-1108, 2011.
DOI : 10.1007/JHEP05(2011)003

R. P. Kerr and A. Schild, Some algebraically degenerate solutions of Einstein???s gravitational field equations, Proc. Symp, p.17, 0199.
DOI : 10.1090/psapm/017/0216846

M. Rooman and P. Spindel, Gödel metric as a squashed anti-de Sitter geometry, Class. Quant. Grav, vol.159804027, p.3241, 1998.
DOI : 10.1088/0264-9381/15/10/024
URL : http://arxiv.org/abs/gr-qc/9804027

S. W. Hawking, C. J. Hunter, and M. Taylor, Rotation and the AdS-CFT correspondence, Physical Review D, vol.59, issue.6, p.64005, 1999.
DOI : 10.1103/PhysRevD.59.064005

M. M. Som and A. K. Raychaudhuri, Cylindrically Symmetric Charged Dust Distributions in Rigid Rotation in General Relativity, Proc. R. Soc. London A304, p.81, 1968.
DOI : 10.1098/rspa.1968.0073

F. M. Paiva, M. J. Rebouças, and A. F. Teixeira, Time travel in the homogeneous Som-Raychaudhuri universe, Physics Letters A, vol.126, issue.3, p.126, 1987.
DOI : 10.1016/0375-9601(87)90453-1

R. G. Leigh and A. C. Petkou, Gravitational duality transformations on (A)dS 4, p.79, 2007.
DOI : 10.1088/1126-6708/2007/11/079
URL : http://arxiv.org/pdf/0704.0531v1.pdf

D. S. Mansi, A. C. Petkou, and G. Tagliabue, Gravity in the 3+1-split formalism: I. Holography as an initial value problem, Classical and Quantum Gravity, vol.26, issue.4, p.45008, 2009.
DOI : 10.1088/0264-9381/26/4/045008

D. S. Mansi, A. C. Petkou, and G. Tagliabue, Gravity in the 3+1-split formalism: II. Self-duality and the emergence of the gravitational Chern???Simons in the boundary, Classical and Quantum Gravity, vol.26, issue.4, p.45009, 2009.
DOI : 10.1088/0264-9381/26/4/045009

M. M. Caldarelli, G. Cognola, and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories, Classical and Quantum Gravity, vol.17, issue.2, p.399, 2000.
DOI : 10.1088/0264-9381/17/2/310

G. W. Gibbons, M. J. Perry, and C. N. Pope, The first law of thermodynamics for Kerr???anti-de Sitter black holes, Classical and Quantum Gravity, vol.22, issue.9, p.1503, 2005.
DOI : 10.1088/0264-9381/22/9/002

C. Misner, The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space, Journal of Mathematical Physics, vol.4, issue.7, p.924, 1963.
DOI : 10.1063/1.1704019

W. B. Bonnor, A new interpretation of the NUT metric in general relativity, Proc. Camb, pp.66-145, 1975.
DOI : 10.1063/1.1704019

J. S. Dowker, The nut solution as a gravitational dyon, General Relativity and Gravitation, vol.11, issue.38, 1974.
DOI : 10.1007/BF02451402

D. Astefanesei, R. B. Mann, and E. Radu, Nut charged spacetimes and closed timelike curves on the boundary, p.49, 2005.
DOI : 10.1088/1126-6708/2005/01/049
URL : http://arxiv.org/abs/hep-th/0407110

A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, Large N phases, gravitational instantons and the nuts and bolts of AdS holography, Phys. Rev, vol.9808177, pp.59-064010, 1999.

M. M. Caldarelli, R. Emparan, and M. J. Rodriguez, Black rings in (Anti)-de Sitter space, Journal of High Energy Physics, vol.2008, issue.11, p.11, 2008.
DOI : 10.1088/1126-6708/2008/11/011

R. B. Mann, Pair production of topological anti-de Sitter black holes, Classical and Quantum Gravity, vol.14, issue.5, p.109, 1997.
DOI : 10.1088/0264-9381/14/5/007

L. Vanzo, Black holes with unusual topology, Physical Review D, vol.56, issue.10, p.6475, 1997.
DOI : 10.1103/PhysRevD.56.6475
URL : http://arxiv.org/abs/gr-qc/9705004

D. R. Brill, J. Louko, and P. Peldan, -dimensional black holes with toroidal or higher genus horizons, Physical Review D, vol.56, issue.6, pp.56-3600, 1997.
DOI : 10.1103/PhysRevD.56.3600
URL : https://hal.archives-ouvertes.fr/halshs-01311007

R. Emparan, AdS/CFT duals of topological black holes and the entropy of zero-energy states, Journal of High Energy Physics, vol.1999, issue.06, p.9906, 1999.
DOI : 10.1088/1126-6708/1999/06/036

D. Klemm, V. Moretti, and L. Vanzo, Rotating topological black holes, Physical Review D, vol.57, issue.10, 1998.
DOI : 10.1103/PhysRevD.57.6127
URL : http://arxiv.org/abs/gr-qc/9710123

M. Demia´nskidemia´nski and E. T. Newman, A combined Kerr?NUT solution of the Einstein field equations, Académie Polonaise des Sciences, XIV, vol.653, 1966.

P. O. Mazur, Spinning Cosmic Strings and Quantization of Energy, Physical Review Letters, vol.57, issue.8, p.929, 1986.
DOI : 10.1103/PhysRevLett.57.929

S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla, and A. Sharma, Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions, Journal of High Energy Physics, vol.2008, issue.12, p.812, 2008.
DOI : 10.1103/PhysRevD.78.066014
URL : http://arxiv.org/abs/0809.4272

J. F. Pleba´nskipleba´nski and M. Demia´nskidemia´nski, Rotating, charged, and uniformly accelerating mass in general relativity, Annals Phys, pp.98-98, 1976.

P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.47, p.473001, 2012.
DOI : 10.1088/1751-8113/45/47/473001

M. Rangamani, Gravity and hydrodynamics: lectures on the fluid-gravity correspondence, Classical and Quantum Gravity, vol.26, issue.22, p.224003, 2009.
DOI : 10.1088/0264-9381/26/22/224003

O. Miskovic and R. Olea, Topological regularization and self-duality in four-dimensional anti???de??Sitter gravity, Physical Review D, vol.79, issue.12, p.124020, 2009.
DOI : 10.1103/PhysRevD.79.124020

G. D. Moore and K. A. Sohrabi, Kubo Formulas for Second-Order Hydrodynamic Coefficients, Physical Review Letters, vol.106, issue.12, p.122302, 2011.
DOI : 10.1103/PhysRevLett.106.122302

K. Skenderis and S. N. Solodukhin, Quantum effective action from the AdS/CFT correspondence, Physics Letters B, vol.472, issue.3-4, p.316, 2000.
DOI : 10.1016/S0370-2693(99)01467-7

R. Clarkson, L. Fatibene, and R. B. Mann, Thermodynamics of (d+1)-dimensional NUT-charged AdS spacetimes, Nuclear Physics B, vol.652, p.348, 2003.
DOI : 10.1016/S0550-3213(02)01143-4

H. Liu, H. Ooguri, B. Stoica, and N. Yunes, Spontaneous Generation of Angular Momentum in Holographic Theories, Physical Review Letters, vol.110, issue.21, p.211601, 2013.
DOI : 10.1103/PhysRevLett.110.211601

J. Ehlers, Contributions to the relativistic mechanics of continuous media, General Relativity and Gravitation, vol.57, issue.I, p.1225, 1993.
DOI : 10.1007/BF00759031

F. Bourliot, J. Estes, P. M. Petropoulos, . Ph, and . Spindel, Gravitational instantons, self-duality, and geometric flows, Physical Review D, vol.81, issue.10, pp.81-09064558, 2010.
DOI : 10.1103/PhysRevD.81.104001
URL : http://arxiv.org/abs/0906.4558

I. Bakas, F. Bourliot, D. Lüst, and P. M. Petropoulos, Geometric flows in Ho??ava-Lifshitz gravity, Journal of High Energy Physics, vol.102, issue.4, p.1004, 2010.
DOI : 10.1007/JHEP04(2010)131

M. P. Ryan and L. C. Shepley, Homogeneous relativistic cosmologies, 1975.

F. Bourliot, J. Estes, P. M. Petropoulos, . Ph, and . Spindel, 3-homogeneous gravitational instantons, Classical and Quantum Gravity, vol.27, issue.10, p.105007, 2010.
DOI : 10.1088/0264-9381/27/10/105007
URL : https://hal.archives-ouvertes.fr/hal-00594824

J. Oh, J. C. Park, and H. Yang, Yang-Mills instantons from gravitational instantons, Journal of High Energy Physics, vol.64, issue.4, p.87
DOI : 10.1007/JHEP04(2011)087

P. M. Petropoulos, V. P. , and K. Siampos, Self-dual gravitational instantons and geometric flows of all Bianchi types, Classical and Quantum Gravity, vol.28, issue.24, pp.245004-11080003, 2011.
DOI : 10.1088/0264-9381/28/24/245004

G. Dall-'agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, pp.3-037, 2011.

G. Bossard and S. Katmadas, Duality covariant non-BPS first order systems, Journal of High Energy Physics, vol.07, issue.9, 2012.
DOI : 10.1007/JHEP09(2012)100
URL : http://arxiv.org/abs/1205.5461

K. Hristov, S. Katmadas, and P. V. , Ungauguing black holes and hidden supercharges Duality covariant multi-centre black hole systems, p.1209, 2012.

M. M. Caldarelli, R. G. Leigh, A. C. Petkou, P. M. Petropoulos, V. P. et al., Vorticity in holographic fluids, PoS CORFU, vol.2011, pp.76-12064351, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00712164

F. Bourliot, Evolution temporelle en théorie des cordes, 2010.

F. Katmadas, Extremal black holes in N=2 supergravity, 2011.

A. Mezzalira, Fermionic variations on AdS, 2013.

F. Denef, Supergravity flows and D-brane stability, Journal of High Energy Physics, vol.2000, issue.08, pp.8-0500005049, 2000.
DOI : 10.1088/1126-6708/2000/08/050
URL : http://arXiv.org/pdf/1603.00453.pdf

P. Romatschke, NEW DEVELOPMENTS IN RELATIVISTIC VISCOUS HYDRODYNAMICS, International Journal of Modern Physics E, vol.19, issue.01, 2010.
DOI : 10.1142/S0218301310014613

A. Papapetrou, Champs gravitationnels stationnaires à symétrie axiale, Ann. Inst. H. Poincaré, vol.4, issue.83, 1966.

G. Randers, On an Asymmetrical Metric in the Four-Space of General Relativity, Physical Review, vol.59, issue.2, 1941.
DOI : 10.1103/PhysRev.59.195

R. G. Leigh, A. C. Petkou, and P. M. Petropoulos, Holographic threedimensional fluids with nontrivial vorticity, Phys. Rev, pp.85-086010, 2012.
DOI : 10.1103/physrevd.85.086010
URL : http://arxiv.org/abs/1108.1393

R. G. Leigh, A. C. Petkou, and P. M. Petropoulos, Holographic fluids with vorticity and analogue gravity systems, p.1211, 2012.
DOI : 10.1007/jhep11(2012)121
URL : http://arxiv.org/abs/1205.6140

V. E. Hubeny, S. G. , and M. Rangamani, The fluid/gravity correspondence
DOI : 10.1017/CBO9781139004176.014
URL : https://hal.archives-ouvertes.fr/hal-00705158

C. P. Herzog, Lectures on holographic superfluidity and superconductivity, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.34, p.42, 2009.
DOI : 10.1088/1751-8113/42/34/343001
URL : http://arxiv.org/abs/0904.1975

C. Barcelò, S. Liberati, and M. Visser, Analogue gravity, Living Rev. Rel, vol.8, issue.12, 2005.

J. S. Dowker, The nut solution as a gravitational dyon, General Relativity and Gravitation, vol.11, issue.38, 1974.
DOI : 10.1007/BF02451402

J. F. Pleba?ski and M. Demia?ski, Rotating, charged, and uniformly accelerating mass in general relativity, Annals of Physics, vol.98, issue.1, pp.98-98, 1976.
DOI : 10.1016/0003-4916(76)90240-2

N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Jain, S. Minwalla et al., Constraints on fluid dynamics from equilibrium partition functions, Journal of High Energy Physics, vol.07, issue.9, p.46, 2012.
DOI : 10.1007/JHEP09(2012)046

S. Bhattacharyya, Constraints on the second order transport coefficients of an uncharged fluid, Journal of High Energy Physics, vol.06, issue.7, 2012.
DOI : 10.1007/JHEP07(2012)104

R. Loganayagam, Entropy current in conformal hydrodynamics, Journal of High Energy Physics, vol.2, issue.05, pp.805-087, 2008.
DOI : 10.1103/PhysRevC.76.024910
URL : http://arxiv.org/abs/0801.3701

M. Rangamani, Gravity and hydrodynamics: lectures on the fluid-gravity correspondence, Classical and Quantum Gravity, vol.26, issue.22, p.224003, 2009.
DOI : 10.1088/0264-9381/26/22/224003
URL : http://dro.dur.ac.uk/9875/1/9875.pdf?DDC63+DDD21+dul4eg

C. Fefferman and C. R. Graham, The ambient metric
DOI : 10.1515/9781400840588

B. De-wit and A. Van-proeyen, Potentials and symmetries of general gauged N = 2 supergravity-Yang-Mills models, Nuclear Physics B, vol.245, p.89, 1984.
DOI : 10.1016/0550-3213(84)90425-5

B. De-wit, P. G. Lauwers, and A. Van-proeyen, Lagrangians of N = 2 supergravity-matter systems, Lagrangians of N=2 Supergravity -Matter Systems, p.569, 1985.
DOI : 10.1016/0550-3213(85)90154-3

N. R. Cooper, Rapidly rotating atomic gases, Advances in Physics, vol.48, issue.6, 2008.
DOI : 10.1103/PhysRevLett.50.1219
URL : http://arxiv.org/abs/0810.4398

V. E. Hubeny, S. Minwalla, and M. Rangamani, The fluid/gravity correspondence
DOI : 10.1017/CBO9781139004176.014
URL : https://hal.archives-ouvertes.fr/hal-00705158

P. Kovtun, Lectures on hydrodynamic fluctuations in relativistic theories, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.47, p.473001, 2012.
DOI : 10.1088/1751-8113/45/47/473001