Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons

Abstract

We numerically solve for 2+1 asymptotically Lifshitz universal horizon solutions in Horava-Lifshitz gravity for dynamical exponents $z=2$ through $z=8$. We find that for all $z$ there is a thermodynamical first law and Smarr formula. Furthermore, we find that the energy-entropy relation expected for a thermal state in a two dimensional Lifshitz field theory, $E=\frac{2}{z+2}TS$, is also satisfied for universal horizons, including the correct $z$ scaling.

arXiv comment7 pages

References in corpus (29)

• Quantum Gravity at a Lifshitz Point
• Quantum Criticality in Heavy Fermion Metals
• Gravity with a dynamical preferred frame
• Gravity Duals of Lifshitz-like Fixed Points
• Membranes at Quantum Criticality
• Heavy Fermions and Quantum Phase Transitions
• A healthy extension of Horava gravity
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Holography of Charged Dilaton Black Holes
• Horava-Lifshitz gravity: a status report
• Extended Horava gravity and Einstein-aether theory
• Lifshitz Black Hole in Three Dimensions
• Horava gravity vs. thermodynamics: the black hole case
• Lifshitz Gravity for Lifshitz Holography
• Mechanics of universal horizons
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Towards thermodynamics of universal horizons in Einstein-æther theory
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• Anisotropic Conformal Infinity
• Hyperscaling violating black holes with spherical and hyperbolic horizons
• Metric Redefinitions in Einstein-Aether Theory
• Universal horizons in maximally symmetric spaces
• On the reconstruction of Lifshitz spacetimes
• Log corrections to entropy of three dimensional black holes with soft hair
• On the first law of black holes with a universal horizon
• An improved derivation of the Smarr Formula for Lorentz-breaking gravity
• Asymptotically Lifshitz spacetimes with universal horizons in $(1+2)$ dimensions
• Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
• Anisotropic Scale Invariant Spacetimes and Black Holes in Zwei-Dreibein Gravity

Cited by in corpus (1)

• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted