Phase transitions for the Lifshitz black holes

Abstract

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.

19 pages, 7 figures, a revised version to appear in EPJC

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Cited by in corpus (13)

• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole
• Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions
• Thermodynamic and classical instability of AdS black holes in fourth-order gravity
• Critical behaviors of black hole in an asymptotically safe gravity with cosmological constant
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Holographic Confinement/Deconfinement Transitions in Asymptotically Lifshitz Spacetimes
• The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Motion of particles on a $z=2$ Lifshitz black hole in 3+1 dimensions
• Absorption cross section in Lifshitz black hole