English

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

General Relativity and Quantum Cosmology 2017-11-02 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1706.04431,
  title  = {Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity},
  author = {Xian-Ming Liu and Hong-Bo Shao and Xiao-Xiong Zeng},
  journal= {arXiv preprint arXiv:1706.04431},
  year   = {2017}
}

Comments

10 pages, 10 figures