Anti-de Sitter black holes in supergravity

Abstract

In this dissertation, we systematically construct non-extremal charged rotating anti-de Sitter black hole solutions in four, five and seven dimensions. In four dimensions, we first obtain the rotating Kerr-Taub-NUT metric with four independent charges, as solutions of N = 2 supergravity coupled to three abelian vector multiplets by the solution generating technique. Then we generalise the four-dimensional rotating solutions to the solutions of gauged N = 4 supergravity with charges set pairwise equal. In five dimensions, the most general charged rotating black hole solution has three charge and two rotation parameters. We obtain several special cases of the general solution. To be specific, we obtain the first example of a non-extremal rotating black hole solution with two independent rotation parameters, which has two charge parameters set equal and the third vanishing. In another example, we obtain the nonextremal charged rotating black hole solution with three charge parameters set equal and non-equal rotation parameters. We are also able to construct the single-charge solution with two independent rotation parameters. In seven dimensions, we obtain the solution for non-extremal charged rotating black holes in gauged supergravity, in the case where the three rotation parameters are set equal. There are two independent charges, corresponding to gauge fields in the U(1) × U(1) abelian subgroup of the SO(5) gauge group.