Gravitational environments, flows and holographic fluids.

Abstract : The thesis is focused on the study of various gravitational environments in 4 dimensions: gravitational instantons and black holes both in general relativity and in supergravity. In general relativity, the search of new exact solutions is a challenging task. A peculiar simplifying assumption is the one of self-duality of the Riemann tensor. This condition provides a class of gravitational instantons. The temporal evolution of the instantons is described by a geometric flow. This connection has been analyzed in full details. In particular, the role of the Ricci tensor within the geometric flow bas been unraveled. It is a challenging question to exhibit new stationary axysymmetric black holes in AdS space. This question arises in the framework of holographic fluid dynamics. Rotating systems in the bulk correspond to fluids with non-trivial vorticity in the boundary. Regularity of the solution at the horizon implies that the boundary fluid has the form of a perfect-fluid. The holographic correspondence is usually done through a perturbative expansion. Necessary conditions have been found such that the expansion can be resummed and exact solutions of relativity can be generated. A microscopic counting of the entropy of black holes in AdS is not available yet. In the case of N=2 supergravity in four dimensions, a relation between rotating non-BPS extremal asymptotically flat black holes and BPS rotating asymptotically AdS black holes has been discovered. This procedure indicates that, for extremal black holes, a supersymmetric conformal field theory dual can be found, thus gaining insights on the role of gaugings in the microscopic counting.
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Submitted on : Friday, December 6, 2013 - 4:04:24 PM
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Valentina Pozzoli. Gravitational environments, flows and holographic fluids.. High Energy Physics - Theory [hep-th]. Ecole Polytechnique X, 2013. English. ⟨pastel-00915148⟩

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