Revisit on the thermodynamic stability of Horava-Lifshitz black hole

摘要

We study the thermodynamic properties of the black hole derived in Horava-Lifshitz (HL) gravity without the detailed-balance condition. The parameter Xi = epsilon(2) in the HL black hole plays the same role as that of the electric charge in the Reissner-Nordstrom-anti-de Sitter (RN-AdS) black hole. By analogy, we treat the parameter Xi as the thermodynamic variable and obtain the first law of thermodynamics for the HL black hole. Although the HL black hole and the RN-AdS black hole have the similar mass and temperature, due to their very different entropy, the two black holes have very different thermodynamic properties. By calculating the heat capacity and the free energy, we analyze the thermodynamic stability of the HL black hole.