Two-charged non-extremal rotating black holes in seven-dimensional gauged supergravity: The single-rotation case

TL;DR

This paper constructs a new class of non-extremal charged rotating black hole solutions in seven-dimensional gauged supergravity with one rotation parameter and two charges, providing insights into their thermodynamics.

Contribution

It presents the explicit metric and thermodynamic charges for non-extremal two-charged rotating black holes with a single rotation in seven dimensions, extending previous ansatz frameworks.

Findings

Explicit metric form for the black holes.

Computed thermodynamic conserved charges.

Framework for generalizing to three unequal rotations.

Abstract

We construct the solution for non-extremal charged rotating black holes in seven-dimensional gauged supergravity, in the case with only one rotation parameter and two independent charges. Using the Boyer-Lindquist coordinates, the metric is expressed in a generalized form of the ansatz previously presented in [S.Q. Wu, Phys. Rev. D 83 (2011) 121502(R)], which may be helpful to find the most general non-extremal two-charged rotating black hole with three unequal rotation parameters. The conserved charges for thermodynamics are also computed.