Abstract
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 in 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.
Highlights
The study of HEE and quantum phase transitions of black holes has attracted a lot of interest in recent years
We focus on the study of the Van der Waals-like (VDW) phase transition of AdS black holes in Lorentz breaking massive gravity using the HEE
We have investigated the VDW phase transition with the use of HEE as a probe
Summary
The study of HEE and quantum phase transitions of black holes has attracted a lot of interest in recent years. Based on [20], VDW phase transition of HEE in various AdS black holes has been studied in [23,24,25,26,27,28,29,30,31,32]. We consider AdS black holes in Lorentz breaking massive gravity.
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