Black hole conserved charges in Generalized Minimal Massive Gravity

TL;DR

This paper derives the mass, angular momentum, and entropy of black holes in Generalized Minimal Massive Gravity (GMMG) within AdS spaces, confirming their consistency with thermodynamic laws.

Contribution

It introduces a method to compute conserved charges for black holes in GMMG, incorporating additional deformation terms beyond Einstein gravity.

Findings

Conserved charges for BTZ black holes in GMMG are obtained.

Results are consistent with the first law of black hole thermodynamics.

The approach extends previous methods to more complex gravity theories.

Abstract

In this paper we construct mass, angular momentum and entropy of black hole solution of Generalized Minimal Massive Gravity (GMMG) in asymptotically Anti-de Sitter (AdS) spacetimes. The generalized minimal massive gravity theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. We apply our result for conserved charge $Q^{\mu} (\bar{\xi})$ to the rotating BTZ black hole solution of GMMG, and find energy, angular momentum and entropy. Then we show our results for these quantities are consistent with the first law of black holes thermodynamics.