On the thermodynamics of Lifshitz black holes

Abstract

We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the entropy of this large family of solutions, and study and discuss the first law of black hole thermodynamics. Along the way we also identify the possible critical points of the relevant quadratic curvature gravity theories. Separately, we also apply the generalized Killing charge definition to compute the energy and the angular momentum of the warped AdS_3 black hole solution of the three-dimensional New Massive Gravity theory.

arXiv comment16 pages, no figures, 1 table; ver 2: 2 new references added; ver 3: revision of the discussion on the obtained results, new references added, version accepted for publication in Physical Review D

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Cited by in corpus (21)

• Lifshitz holography
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• Surface gravities for non-Killing horizons
• First law and anisotropic Cardy formula for three-dimensional Lifshitz black holes
• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Dirac quasinormal modes for a 4-dimensional Lifshitz Black Hole
• Phase transitions for the Lifshitz black holes
• Cardy formula for charged black holes with anisotropic scaling
• AdS and Lifshitz black hole solutions in conformal gravity sourced with a scalar field
• The Rotating Black Hole in Renormalizable Quantum Gravity: The Three-Dimensional Hořava Gravity Case
• Scalar Perturbations of Nonlinear Charged Lifshitz Black Branes with Hyperscaling Violation
• Non-Abelian (Hyperscaling Violating) Lifshitz Black Holes in General Dimensions
• Scalar fields and Lifshitz black holes from Derrick's theorem evasion
• Stationary Lifshitz black holes of R^2-corrected gravity theory
• Motion of particles on a $z=2$ Lifshitz black hole in 3+1 dimensions
• Absorption cross section in Lifshitz black hole
• Covariant Symplectic Structure and Conserved Charges of New Massive Gravity
• Charged Lifshitz black holes from general covariance breaking
• Stationary Lifshitz Black Hole of New Massive Gravity
• Generalized Thermodynamic Properties of Lifshitz black holes
• Revisiting Lifshitz-type solutions in $R^2$-corrected gravity