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Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation

Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation

We investigate the hypothetical process of gravitational Cherenkov radiation, which may occur in modified gravity theories. We obtain a useful constraint on a modified dispersion relation for propagating modes of gravitational waves, which could be predicted as a consequence of the violation of the Lorentz invariance in modified theories of …