General (Anti-)de Sitter Black Holes in Five Dimensions

TL;DR

This paper presents a broad class of rotating charged black hole solutions in five-dimensional gauged supergravity, analyzes their supersymmetry, computes their physical properties, and explores implications for dual conformal field theories, including causality issues.

Contribution

It introduces a general family of black hole solutions in five-dimensional gauged supergravity with detailed analysis of their supersymmetry and dual field theory stress tensor.

Findings

Existence of closed timelike curves outside the horizon.

Dual CFT stress tensor indicates loss of unitarity.

Multi-centered de Sitter black holes possible with imaginary coupling.

Abstract

We find a general class of rotating charged black hole solutions to N=2, D=5 gauged supergravity coupled to vector supermultiplets. The supersymmetry properties of these solutions are studied, and their mass and angular momenta are obtained. We also compute the stress tensor of the dual D=4, N=4 super Yang-Mills theory in the limit of strong `t Hooft coupling. It is shown that closed timelike curves occur outside the horizon, indicating loss of unitarity in the dual CFT. For imaginary coupling constant of the gravitini to the gauge fields, one can obtain multi-centered rotating charged de Sitter black holes. Some physical properties of these solutions are also discussed.