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Bounding the mass of the graviton with gravitational waves: effect of higher harmonics in gravitational waveform templates

K G Arun1,2,3 and Clifford M Will1,3

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Observations by laser interferometric detectors of gravitational waves from inspiraling compact binary systems can be used to search for a dependence of the waves' propagation speed on wavelength, and thereby to bound the mass or Compton wavelength of a putative graviton. We study the effect of including higher harmonics, as well as their post-Newtonian amplitude corrections, in the template gravitational waveforms employed in the process of parameter estimation using matched filtering. We consider the bounds that could be achieved using advanced LIGO, a proposed third generation instrument called an Einstein telescope and the proposed space interferometer LISA. We find that in all cases, the bounds on the graviton Compton wavelength are improved by almost an order of magnitude for higher masses when amplitude corrections are included.


PACS

04.80.Nn Gravitational wave detectors and experiments

95.55.Ym Gravitational radiation detectors; mass spectrometers; and other instrumentation and techniques

07.60.Ly Interferometers

97.80.-d Binary and multiple stars

04.60.-m Quantum gravity

04.30.-w Gravitational waves

MSC

83C35 Gravitational waves

85A15 Galactic and stellar structure

Subjects

Instrumentation and measurement

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 15 (7 August 2009)

Received 7 April 2009, in final form 9 June 2009

Published 7 July 2009



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