Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity

TL;DR

This study explores phase transitions in AdS black holes within Lorentz-breaking massive gravity using holographic entanglement entropy, revealing similar phase structures to Bekenstein-Hawking entropy and potential underlying relationships.

Contribution

It demonstrates the existence of both first and second order phase transitions in holographic entanglement entropy, confirming their similarity to Bekenstein-Hawking entropy in this gravity model.

Findings

Identification of first and second order phase transitions in HEE and BHE.

Validation of the equal area law for FPT.

Calculation of critical exponent for SPT.

Abstract

In this paper, phase transition of AdS black holes in lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first order phase transition(FPT) and second order phase transition(SPT) both in Bekenstein-Hawking entropy(BHE)-temperature plane and holographic entanglement entropy(HEE)-temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.