Thermodynamic geometry of black hole in the deformed Hořava-Lifshitz gravity

Institute of Theoretical Physics, Lanzhou University - Lanzhou 730000, PRC

^(a) weishw@lzu.edu.cn
^(b) liuyx@lzu.edu.cn (corresponding author)
^(c) yqwang@lzu.edu.cn
^(d) guoh2009@lzu.edu.cn

Received: 12 April 2012
Accepted: 22 June 2012

Abstract

We investigate the thermodynamic geometry and phase transition of Kehagias-Sfetsos black hole in the deformed Hořava-Lifshitz gravity with coupling constant λ = 1. The phase transition in black-hole thermodynamics is thought to be associated with the divergence of the capacities. And the structures of these divergent points are studied. We also find that the thermodynamic curvature produced by the Ruppeiner metric is positive definite for all r₊ > r₋ and is divergent at η₂ = 0 corresponding to the divergent points of C_Φ and C_T . These results suggest that the microstructure of the black hole has an effective repulsive interaction, which is very similar to the ideal gas of fermions. These may shed some light on the microstructure of the black hole.