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On Asymptotic Darkness in Ho\v{r}ava-Lifshitz Gravity

By Emilio Elizalde and Pedro J. Silva

Abstract

Ho\v{r}ava-Lifshitz gravity is shown to exhibit a peculiar behavior, when scattering amplitudes are considered. At low energies it seems to classicalize i.e. the effective size of the interaction grows as a function of the $s$-parameter, with BHs forming part of the spectrum; but when the probing energy is increased such that higher order operators become important, this behavior changes and the classicalon recedes to a new configuration where ordinary quantum regimes take over. Eventually, the theory behaves as a usual field theory that allows probing arbitrarily small distances. In particular, the classical potential created by a point-like source is finite everywhere exhibiting a Vainshtein alike screening behavior. The transition from one behavior to the other is carefully described in a particular case.Comment: 6 pages, 1 figures, expanded version with Classical potential and scattering of self-interacting gravity wav

Topics: High Energy Physics - Theory, Astrophysics - Solar and Stellar Astrophysics, General Relativity and Quantum Cosmology, Mathematical Physics
Publisher: 'Springer Science and Business Media LLC'
Year: 2012
DOI identifier: 10.1007/JHEP06(2012)049
OAI identifier: oai:arXiv.org:1110.0036

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