Phase Transition of the Horava-Lifshitz AdS Black Holes

Abstract

Some ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.

Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant

“…It is named Hořava-Lifshitz gravity together with the scalar field theory of Lifshitz. This theory has inspired many studies and applications in length renormalization [2], entropy argument [3], cosmology , dark energy [31][32][33][34][35], black holes [36][37][38][39][40], gravitational waves [41] and electromagnetics [42][43][44][45]. More information can also be found in the review articles [46][47][48] and the references therein.…”