Particle kinematics in Hořava-Lifshitz gravity

Abstract

We study the deformed kinematics of point particles in the Hořava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation and study in detail the cases of flat and spherically symmetric (Schwarzschild-like) spacetimes. As the theory is not invariant under local Lorenz transformations, deviations from standard kinematics become evident even for flat manifolds, supporting superluminal as well as massive luminal particles. These deviations from standard behavior could be used for experimental tests of this modified theory of gravity.

Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

“…It should be noted that the definition of black holes in the HL gravity is subtle [61][62][63][64][65][66][67][68][69][70][71], because of the inclusions of high-order derivative operators, for which the dispersion relationship is in general becomes nonlinear,…”

“…Then, both of the phase and group velocities of the particle become unbounded as its momentum increases. As a result, black holes may not exist at all in the HL theory [62][63][64][65][66][67][68][69][70][71]. However, in the IR the high-order terms of p are negligible, and the first term in eq.…”

“…Universal horizons have already attracted lot of attention, and various interesting results have been obtained [86][87][88][89][90]. For more detail regarding to black holes in the HL gravity, we refer readers to [61][62][63][64][65][66][67][68][69][70][71][85][86][87][88][89][90], and references therein. To simplify the technique issues and be comparable to the studies carried out in [60], in this paper we shall restrict ourselves only to (2+1) dimensional spacetimes, 3 although we find that exact vacuum solutions of the HL gravity in any dimensional spacetimes exist, and have similar space-time structures [91].…”

Generalized ghost dark energy in Horava–Lifshitz cosmology

“…Thus, this theory leads to a modification of the Einstein's general relativity at high energies producing interesting features in cosmology. Furthermore Horava-Lifshitz gravity has been studied and extended in detail [29][30][31][32][33][34][35][36] and applied as a cosmological frame work of the universe [37][38][39][40][41][42][43][44][45][46]. Recently, different dark energy models have been studied in the framework of Horava-Lifshitz cosmology using different infrared cut-offs.…”

Power Law and Logarithmic Ricci Dark Energy Models in Hořava-Lifshitz Cosmology

“…For this reason, the theory introduced by Hořava is also known as Hořava-Lifshitz gravity. Hořava-Lifshitz gravity has been studied and extended in detail [138][139][140][141][142][143][144][145][146] and applied as a cosmological framework of the universe [147][148][149][150][151][152][153][154][155][156][157][158][159][160][161][162].…”