Hairy Black holes in General Minimal Massive Gravity

TL;DR

This paper explores the symmetries, conserved charges, and thermodynamics of hairy AdS black holes within general minimal massive gravity, providing new insights into their near horizon and asymptotic structures.

Contribution

It introduces the analysis of near horizon and asymptotic symmetries of hairy AdS black holes in general minimal massive gravity, including conserved charges and thermodynamic consistency.

Findings

Energy, angular momentum, and entropy are computed and match the first law.

Near horizon conserved charges and their algebra are derived.

Conserved charges are expressed in terms of zero modes.

Abstract

In this work, we investigate the near horizon and asymptotic symmetries of static and rotating hairy$-$AdS black hole in the framework of general minimal massive gravity. We obtain energy, angular momentum and entropy of the solutions. Then we show that our results for these quantities are consistent with the first law of black hole thermodynamics. By considering the near horizon geometry of black hole, we find near horizon conserved charges and their algebra. By writing the algebra of conserved charges in terms of Fourier modes we have obtained the conserved charges in terms of zero modes.