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

TL;DR

This paper constructs a broad family of charged, rotating AdS black holes within $N=2$, $D=5$ gauged supergravity coupled to vector multiplets, and analyzes their supersymmetry properties, mass, and angular momenta. It provides explicit rotating solutions (including STU-model cases) and derives the holographic stress tensor for the dual $D=4$, ${\cal N}=4$ SYM at strong coupling, finding a consistent CFT stress tensor but noting closed timelike curves outside the horizon that imply potential unitarity issues. The authors also extend the analysis to de Sitter space by analytic continuation, obtaining multicentered rotating de Sitter black holes and a Smarr-type relation for this case. Together, these results illuminate the interplay between bulk causality, supersymmetry, and boundary CFT properties in both AdS and dS contexts, and point to further work on non-supersymmetric generalizations and higher-dimensional resolutions of causality pathologies.

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.