Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity

TL;DR

This paper introduces a new framework for describing non-extremal, rotating black holes in five-dimensional gauged supergravity, enabling the construction of more general solutions and analysis of their thermodynamics and separability properties.

Contribution

A simple framework for non-extremal rotating black holes in five-dimensional gauged supergravity is developed, leading to new and simplified solutions with arbitrary charges and rotation parameters.

Findings

Constructed a new single-charge rotating black hole solution.

Unified description of solutions with multiple charges and rotations.

Analyzed thermodynamics and separability in these backgrounds.

Abstract

Supersymmetric black holes in five-dimensional gauged supergravity must necessarily be rotating, and so in order to study the passage to black holes away from supersymmetry, it is of great interest to obtain non-extremal black holes that again have non-zero rotation. In this paper we find a simple framework for describing non-extremal rotating black holes in five-dimensional gauged supergravities. Using this framework, we are able to construct a new solution, describing the general single-charge solution of N=2 gauged supergravity, with arbitrary values for the two rotation parameters. Previously-obtained solutions with two or three equal charges also assume a much simpler form in the new framework, as also does the general solution with three unequal charges in ungauged N=2 supergravity. We discuss the thermodynamics and BPS limit of the new single-charge solutions, and we discuss the separability of the Hamilton-Jacobi and Klein-Gordan equations in these backgrounds.