Eur. Phys. J. C (2012) 72: 2116
https://doi.org/10.1140/epjc/s10052-012-2116-9

Regular Article - Theoretical Physics

Phase transitions for Lifshitz black holes

Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae, 621-749, Korea

^* e-mail: ysmyung@inje.ac.kr

Received: 18 April 2012
Revised: 22 June 2012
Published online: 14 August 2012

Abstract

We study the possibility of phase transitions between Lifshitz black holes and other configurations by using free energies explicitly. A phase transition between Lifshitz soliton and Lifshitz black hole might not occur in three dimensions. We find that a phase transition between Lifshitz and BTZ black holes is unlikely to occur because they have different asymptotes. Similarly, we point out that any phase transition between Lifshitz and black branes is unlikely to occur in four dimensions since they have different asymptotes. This is consistent with the necessary condition for taking a phase transition in a gravitational system, which requires the same asymptote.