BPS rotating black holes in N=1, D=4 anti-de Sitter supergravity

Abstract

There are hints that the N=1 anti-de Sitter supersymmetry algebra for in four dimensions permits 1/2-BPS states at the bound E=|J|. Recent literatures suggest that for N=2 with zero magnetic and electric charge, BPS states occurs at the same bound, which correspond to the ultra spinning limit. The main goal of the thesis is to determine whether or not there are BPS rotating black holes in N=1, D=4 anti-de Sitter supergravity. We first gave a review of the necessary background on Kerr black holes, the N=1 supersymmetry algebra and supergravity. We prove the non-existence of BPS Kerr black holes in flat space and presented the current work on solving for the complete set of Killing spinors of Kerr-AdS.