Bounding the mass of the graviton using eccentric binaries

TL;DR

This paper proposes a simple method using gravitational wave observations of eccentric binaries to set bounds on the graviton's mass, potentially surpassing existing dynamic tests and not requiring strong field or electromagnetic data.

Contribution

It introduces a new, straightforward approach to constrain the graviton mass using eccentric binary gravitational wave data, improving bounds over previous dynamic tests.

Findings

Bounds comparable to Will's method

Several orders of magnitude stronger than other dynamic tests

Applicable without strong field or electromagnetic data

Abstract

We describe a method by which gravitational wave observations of eccentric binary systems could be used to test General Relativity's prediction that gravitational waves are dispersionless. We present our results in terms of the graviton having a non-zero rest mass, or equivalently a non-infinite Compton wavelength. We make a rough estimate of the bounds that might be obtained following gravitational wave detections by the space-based LISA interferometer. The bounds we find are comparable to those obtainable from a method proposed by Will, and several orders of magnitude stronger than other dynamic (i.e. gravitational wave based) tests that have been proposed. The method described here has the advantage over those proposed previously of being simple to apply, as it does not require the inspiral to be in the strong field regime nor correlation with electromagnetic signals. We compare our results with those obtained from static (i.e. non-gravitational wave based) tests.