标题： Lifshitz黑洞的相变 显示英文标题

标题： Phase transitions for the Lifshitz black holes

摘要： 我们通过显式地使用自由能来研究Lifshitz黑洞与其他配置之间的相变可能性。 在三维情况下，Lifshitz孤立子与Lifshitz黑洞之间的相变可能不会发生。 我们发现，由于它们具有不同的渐近行为，Lifshitz黑洞与BTZ黑洞之间的相变不太可能发生。 同样，我们指出，在四维情况下，Lifshitz与黑洞平板之间的任何相变都不太可能发生，因为它们具有不同的渐近行为。 这与引力系统中进行相变的必要条件一致，该条件要求相同的渐近行为。 显示英文摘要

摘要： We study 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 unlikely occurs because they have different asymptotes. Similarly, we point out that any phase transition between Lifshitz and black branes unlikely occurs in four dimensions since they have different asymptotes. This is consistent with a necessary condition for taking a phase transition in the gravitational system, which requires the same asymptote.