, Volume 45, Issue 2, pp 387-394
Date: 02 Nov 2012

Constraining Hořava–Lifshitz gravity from neutrino speed experiments

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Abstract

We constrain Hořava–Lifshitz gravity using the results of the OPERA and ICARUS neutrino speed experiments, which show that neutrinos are luminal particles, as found from examining the fermion propagation in the earth’s gravitational field. In particular, investigating the Dirac equation in the spherical solutions of the theory, we find that the neutrinos feel an effective metric with respect to which they might propagate superluminally. Therefore, in demanding not to have superluminal or subluminal motion we constrain the parameters of the theory. Although the excluded parameter regions are very narrow, we find that the detailed balance case lies in the excluded region.