General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity

TL;DR

This paper derives exact solutions for non-extremal rotating charged black holes in a five-dimensional Godel universe within minimal supergravity, analyzing their thermodynamics and wave equation separability.

Contribution

It provides the first comprehensive exact solutions for such black holes, including thermodynamic properties and symmetry analysis in this specific supergravity context.

Findings

Solutions characterized by four parameters: mass, charge, rotation, Godel parameter

Solutions satisfy the first law of black hole thermodynamics

Hamilton-Jacobi and Klein-Gordon equations are separable in these backgrounds

Abstract

We present the general exact solutions for non-extremal rotating charged black holes in the Godel universe of five-dimensional minimal supergravity theory. They are uniquely characterized by four non-trivial parameters, namely the mass $m$, the charge $q$, the Kerr equal rotation parameter $a$, and the Godel parameter $j$. We calculate the conserved energy, angular momenta and charge for the solutions and show that they completely satisfy the first law of black hole thermodynamics. We also study the symmetry and separability of the Hamilton-Jacobi and the massive Klein-Gordon equations in these Einstein-Maxwell-Chern-Simons-Godel black hole backgrounds.