Configuration entropy and instability of accelerating black hole in AdS

TL;DR

This paper investigates the stability of accelerating black holes in AdS space using configuration entropy, revealing that black strings are sometimes unstable and black holes are thermally stable only below a critical mass.

Contribution

It introduces the use of configuration entropy to analyze the stability of accelerating black holes in AdS, identifying stability ranges for black holes and black strings.

Findings

Black strings are not always stable.

Black holes are thermally stable below a critical mass.

Stability analysis aligns with thermodynamic predictions.

Abstract

We consider an accelerating black hole with a negative cosmological constant in four-dimensional spacetime. There are two configurations such as a black string (BS) phase when a mass parameter is zero and a black hole (BH) phase when a mass parameter is non-zero. We investigate their stability via the configuration entropy (CE). It is found that the BS is not always stable but the BH has a thermally stable range below the critical mass of the BH, which is consistent with thermodynamic instability.