Rotating black holes in de Rham-Gabadadze-Tolley massive gravity: Analytic calculation procedure

TL;DR

This paper analytically derives rotating black hole solutions in de Rham-Gabadadze-Tolley massive gravity, incorporating parameters like mass, charge, angular momentum, and graviton mass, which could model astrophysical black holes.

Contribution

It provides a detailed analytical method for rotating black holes in dRGT massive gravity, including new parameterizations involving graviton mass and St"uckelberg charge.

Findings

Explicit rotating black hole solutions derived

Solutions include graviton mass, charge, and angular momentum

Potential astrophysical black hole candidates identified

Abstract

In this paper, we explore the solutions of rotating black holes within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We provide a detailed, step-by-step analytical derivation of these solutions. Our solutions are characterized by several parameters: mass $M$ , electric charge $Q_{*}$, angular momentum $a$, and a graviton mass $m$. This graviton mass term incorporates both a cosmological constant $\Lambda$ and a St\"uckelberg charge $S_{*}$ into the black hole parameters. These solutions may serve as potential candidates for astrophysical black holes.