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Constraining Lorentz-violating, modified dispersion relations with gravitational waves

Constraining Lorentz-violating, modified dispersion relations with gravitational waves

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can reproduce a range of known Lorentz-violating predictions and investigate their impact on the propagation of gravitational waves. A …