BLACK HOLE DYNAMICS IN GENUINE AND FAKE GAUGED SUPERGRAVITY

The goal of this thesis is to obtain and study new black hole solutions, both with and without supersymmetry, with a particular focus on multi-centered black holes in a cosmological background. After a review of matter-coupled N=2 gauged supergravity in four dimensions and of the classification of its supersymmetric solutions, a new supersymmetric black hole solution is obtained, which is the first with nontrivial running hyperscalars. Fake supergravity is a framework that allows to apply the methods used to classify supersymmetric solutions of supergravity also to theories without supersymmetry. A classification of fake supersymmetric solutions of a theory related to N=2, d=4 gauged supergravity is reviewed and used to construct dynamical solutions representing multiple black holes in a Friedmann-Lemaître-Robertson-Walker background. The physical properties of the single-centered case are then studied in some detail. More complicated solutions with rotation and NUT-charge, or with curved spatial slices, are obtained for a less general class of theories. Finally a recipe to obtain multi-centered black holes in an arbitrary FLRW universe and in arbitrary dimension is presented. These spacetimes are a multi-centered generalization of the charged McVittie black hole and are sourced by a U(1) gauge field and by a charged perfect fluid. As a particular subcase, these solutions describe an arbitrary number of black holes in a background that is locally anti-de Sitter space in cosmological coordinates. Some physical properties of the single-centered asymptotically AdS black hole are studied, showing in particular that a generalized first law of black hole dynamics is satisfied.