Two-charge rotating black holes in four-dimensional gauged supergravity

TL;DR

This paper presents a new class of four-dimensional gauged supergravity black hole solutions with two independent charges, including their thermodynamics, singular BPS cases, and integrability properties of geodesic motion.

Contribution

It introduces novel non-extremal, rotating, charged black hole solutions in 4D gauged supergravity with detailed thermodynamic analysis and integrability features.

Findings

Derived asymptotically AdS black hole solutions with two charges.

Computed thermodynamic quantities of these black holes.

Identified integrable geodesic motion and separability of wave equations.

Abstract

We obtain an asymptotically AdS, non-extremal, electrically charged and rotating black hole solution of 4-dimensional U(1)^4 gauged supergravity with 2 non-zero and independent U(1) charges. The thermodynamical quantities are computed. We find BPS solutions that are nakedly singular. The solution is generalized to include a NUT parameter and dyonic gauge fields. The string frame metric has a rank-2 Killing-Stackel tensor and has completely integrable geodesic motion, and the massless Klein-Gordon equation separates for the Einstein frame metric.