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

TL;DR

This paper presents the comprehensive construction of non-extremal charged rotating black hole solutions in five-dimensional minimal gauged supergravity, including their properties, conserved quantities, and special supersymmetric cases.

Contribution

It provides the first general explicit solutions for these black holes with four parameters, detailing their regularity conditions and supersymmetric limits.

Findings

Solutions describe regular rotating black holes within parameter ranges.

Supersymmetric solutions are obtained in a BPS limit, with some being regular.

New regular supersymmetric black holes and topological solitons are identified.

Abstract

We construct the general solution for non-extremal charged rotating black holes in five-dimensional minimal gauged supergravity. They are characterised by four non-trivial parameters, namely the mass, the charge, and the two independent rotation parameters. The metrics in general describe regular rotating black holes, providing the parameters lie in appropriate ranges so that naked singularities and closed timelike curves (CTC's) are avoided. We calculate the conserved energy, angular momenta and charge for the solutions, and show how supersymmetric solutions arise in a BPS limit. These have naked CTC's in general, but for special choices of the parameters we obtain new regular supersymmetric black holes or smooth topological solitons.