Bounding the mass of the graviton using binary pulsar observations
Lee Samuel Finn, Patrick J. Sutton

TL;DR
This paper uses binary pulsar observations to set an upper limit on the graviton mass, providing the first dynamic-field-based constraint and showing potential for future improvements.
Contribution
It introduces a novel bound on the graviton mass derived from binary pulsar data, extending previous static-field limits to dynamic scenarios.
Findings
Graviton mass less than 7.6 x 10^{-20} eV at 90% confidence
First dynamic-field-based bound on graviton mass
Potential for tighter constraints with future observations
Abstract
The close agreement between the predictions of dynamical general relativity for the radiated power of a compact binary system and the observed orbital decay of the binary pulsars PSR B1913+16 and PSR B1534+12 allows us to bound the graviton mass to be less than 7.6 x 10^{-20} eV with 90% confidence. This bound is the first to be obtained from dynamic, as opposed to static-field, relativity. The resulting limit on the graviton mass is within two orders of magnitude of that from solar system measurements, and can be expected to improve with further observations.
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