Constraints on the massive graviton dark matter from pulsar timing and precision astrometry

Abstract

The effect of a narrow-band isotropic stochastic GW background on pulsar timing and astrometric measurements is studied. Such a background appears in some theories of gravity. We show that the existing millisecond pulsar timing accuracy ($\sim 0.2\mu \mathrm{s}$) strongly constrains possible observational consequences of theory of massive gravity with spontaneous Lorentz braking \cite{dtt:2005}, essentially ruling out significant contribution of massive gravitons to the local dark halo density. The present-day accuracy of astrometrical measurements ($\sim 100\mu \mathrm{as}$) sets less stringent constraints on this theory.

arXiv comment4 pages, 1 figure; changes in content, references added, accepted for publication in PRL

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