Testing local Lorentz invariance with gravitational waves
Alan Kostelecky, Matthew Mewes

TL;DR
This paper investigates how violations of local Lorentz invariance could affect gravitational wave signals, constructing a covariant dispersion relation and using GW150914 data to set new constraints on such violations.
Contribution
It introduces a covariant dispersion relation for gravitational waves with Lorentz-violating operators and provides the first constraints on Lorentz violation from gravitational wave observations.
Findings
Constraints on Lorentz violation from GW150914
Construction of a covariant dispersion relation for gravitational waves
Analysis of dispersion and birefringence effects
Abstract
The effects of local Lorentz violation on dispersion and birefringence of gravitational waves are investigated. The covariant dispersion relation for gravitational waves involving gauge-invariant Lorentz-violating operators of arbitrary mass dimension is constructed. The chirp signal from the gravitational-wave event GW150914 is used to place numerous first constraints on gravitational Lorentz violation.
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