Lorentz Invariance Violation in Modified Gravity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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5 pages, extended discussion

Scientific paper

We consider an environmentally dependent violation of Lorentz invariance in scalar-tensor models of modified gravity where General Relativity is retrieved locally thanks to a screening mechanism. We find that fermions have a modified dispersion relation and would go faster than light in an anisotropic and space-dependent way along the scalar field lines of force. We comment briefly on the OPERA claims and argue that this type of Lorentz violation might be due to chameleons. We suggest that measuring the speed of neutrinos emitted radially from the surface of the earth, at different energies, and observed on the other side of the earth would provide a test of the Lorentz invariance violation induced by modified gravity effects.

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