Phase Transition of AdS Black hole in Massive Gravity Revisited via New Prescription

TL;DR

This paper revisits the phase transition behavior of AdS black holes in massive gravity using a new thermodynamical approach, which effectively identifies all critical points and phase transition regions, improving upon standard methods.

Contribution

The paper introduces a novel thermodynamical method that better captures the phase structure of AdS black holes in massive gravity, overcoming limitations of traditional techniques.

Findings

Successfully reproduces critical behavior of black holes

Identifies all possible critical points and phase transition regions

Addresses shortcomings of standard thermodynamical methods

Abstract

We apply the new thermodynamical method proposed initially by Hindi. et al \cite{base} to revisit the phase structure of the AdS black hole in the massive gravity framework. In comparison to the standard thermodynamical method used in literature \cite{mass}, we show that this new technical approach can easily reproduce the critical behavior inherent to this black hole configuration and addresses some of the shortcomings of the standard method. We also show the ability of this new perception to find all possible critical points and regions in which phase transitions occur, an impossible task in the standard method.