Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity

TL;DR

This paper analyzes non-extremal, charged, rotating black holes in five-dimensional minimal gauged supergravity, computing their mass, geodesics, Euclidean action, and discussing implications for string theory.

Contribution

It provides explicit calculations of physical quantities and relations for these black holes, including mass, geodesics, and thermodynamic properties, with applications to string theory.

Findings

Mass matches thermodynamic mass

Explicit geodesic solutions found

Euclidean action satisfies quantum statistical relation

Abstract

We consider the non-extremal, charged, rotating black hole solution of five dimensional minimal gauged supergravity of Cvetic, Lu and Pope [Phys.Lett. B 598 (2004) 273]. We compute the Ashtekar-Magnon-Das mass and show it agrees with the thermodynamic mass. We find a reducible Killing tensor and integrate the geodesic equation explicitly. We also compute the Euclidean action of the black hole and show it satisfies the quantum statistical relation. Further we present a Smarr relation. We end with a discussion of applications to string theory.