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We study how well the mass of the graviton can be constrained from gravitational-wave (GW) observations of coalescing binary black holes. Whereas the previous investigations employed post-Newtonian (PN) templates describing only the inspiral part of the signal, the recent progress in analytical and numerical relativity has provided analytical waveform templates coherently describing the inspiral-merger-ringdown (IMR) signals. We show that a search for binary black holes employing IMR templates will be able to constrain the mass of the graviton much more accurately (~ an order of magnitude) than a search employing PN templates. The best expected bound from GW observatories (λg>7.8×10¹³ km from Advanced LIGO, λg>7.1×10¹⁴ km from Einstein Telescope, and λg>5.9×10¹⁷ km from LISA) are several orders of magnitude better than the best available model-independent bound (λg>2.8×10¹² km, from solar system tests).
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Keppel et al. (2010) studied this question.
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