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

TL;DR

This paper derives constraints on modified gravitational wave dispersion relations by analyzing gravitational Cherenkov radiation, providing bounds that complement direct gravitational wave observations.

Contribution

It introduces a new constraint on Lorentz-violating dispersion relations for gravitational waves using gravitational Cherenkov radiation analysis.

Findings

Established bounds on modified dispersion relations

Demonstrated complementarity with direct gravitational wave measurements

Provided theoretical framework for testing Lorentz invariance

Abstract

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 violation of the Lorentz invariance in modified theories of gravity. The constraint from gravitational Cherenkov radiation and that from direct measurements of the gravitational waves emitted by a compact binary system are complementary to each other.