Asymptotically Lifshitz spacetimes with universal horizons in $(1+2)$ dimensions

Abstract

Horava gravity theory possesses global Lifshitz space as a solution and has been conjectured to provide a natural framework for Lifshitz holography. We derive the conditions on the two derivative Horava gravity Lagrangian that are necessary for static, asymptotically Lifshitz spacetimes with flat transverse dimensions to contain a universal horizon, which plays a similar thermodynamic role as the Killing horizon in general relativity. Specializing to z=2 in 1+2 dimensions, we then numerically construct such regular solutions over the whole spacetime. We calculate the mass for these solutions and show that, unlike the asymptotically anti-de Sitter case, the first law applied to the universal horizon is straightforwardly compatible with a thermodynamic interpretation.

12 pages, 4 figures

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Cited by in corpus (12)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• Three-dimensional charged Einstein-aether black holes and Smarr formula
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Static and rotating universal horizons and black holes in gravitational theories with broken Lorentz invariance
• Hawking Radiation from Universal Horizons
• On the first law of black holes with a universal horizon
• No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
• Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
• New Asymptotically Lifshitz Black Holes in Horava gravity
• Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons
• Asymptotic flatness and nonflat solutions in the critical 2+1 Horava theory
• Exact analytic solutions in 2+1 Hořava gravity with cosmological constant