Thermalization of horizon through asymptotic symmetry in three-dimensional massive gravity

TL;DR

This paper investigates how horizon symmetries in three-dimensional massive gravity relate to black hole thermalization, supporting the idea that symmetry breaking can elucidate black hole thermodynamics.

Contribution

It extends the study of horizon symmetry breaking and thermalization to three-dimensional massive gravity with higher-order Riemann terms, confirming the idea's robustness.

Findings

Horizon symmetries can be spontaneously broken in three-dimensional massive gravity.

The symmetry breaking mechanism supports black hole thermalization.

The approach remains valid with higher-order Riemann tensor corrections.

Abstract

Recently, black hole symmetries have been studied widely and it has been speculated that this procedure will lead to the deeper understanding of the black hole physics. Spontaneous symmetry breaking of the horizon symmetries is one of the very recent attempt to clarify black hole thermal physics. In this work, we are going to investigate the same in three dimensional massive gravity, including higher order of Riemann tensor. We observe that the idea also works well in this gravitational theory, thereby providing stronger demand of the viability of this idea.