High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity

Abstract

In this paper, we present all $[(d+1)+1]$-dimensional static diagonal vacuum solutions of the non-projectable Hořava-Lifshitz gravity in the IR limit, and show that they give rise to very rich Lifshitz-type structures, depending on the choice of the free parameters of the solutions. These include the Lifshitz spacetimes with or without hyperscaling violation, Lifshitz solitons, and black holes. Remarkably, even the theory breaks explicitly the Lorentz symmetry and allows generically instantaneous propagations, universal horizons still exist, which serve as one-way membranes for signals with any large velocities. In particular, particles even with infinitely large velocities would just move around on these boundaries and cannot escape to infinity. Another remarkable feature appearing in the Lifshitz-type spacetimes is that the dynamical exponent $z$ can take its values only in the ranges $1\le z<2$ for $d\ge 3$ and $1\le z<\infty$ for $d=2$, due to the stability and ghost-free conditions of the theory.

revtex4, seven figures. Version appears in Phys. Rev. D91, 044003 (2015). arXiv admin note: text overlap with arXiv:1403.0946

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• Gravitational quasinormal modes of black holes in Einstein-aether theory
• Scalar Quasinormal Modes of Anti-de Sitter Static Spacetime in Horava-Lifshitz Gravity with $U(1)$ Symmetry
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Charged Black Holes in Colored Lifshitz Spacetimes
• Dispersion relation and surface gravity of universal horizons
• Minimal-supersymmetric extended inflation field in Horava-Lifshitz gravity
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Effects of high-order operators in non-relativistic Lifshitz holography
• Aspects of Black Holes in Gravitational Theories with Broken Lorentz and Diffeomorphism Symmetries
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