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GW150914 peak frequency: a novel consistency test of strong-field General Relativity

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arxiv 1811.08744 v2 pith:GWUDX2KM submitted 2018-11-21 gr-qc

GW150914 peak frequency: a novel consistency test of strong-field General Relativity

classification gr-qc
keywords gravitationalrelativitytestwavedetectedgeneralblackfrequency
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a novel test of General Relativity in the strong-field regime of a binary black hole coalescence. Combining information coming from Numerical Relativity simulations of coalescing black hole binaries with a Bayesian reconstruction of the gravitational wave signal detected in LIGO-Virgo interferometric data, allows one to test theoretical predictions for the instantaneous gravitational wave frequency measured at the peak of the gravitational wave signal amplitude. We present the construction of such a test and apply it on the first gravitational wave event detected by the LIGO and Virgo Collaborations, GW150914. The $p$-value obtained is $p=0.48$, to be contrasted with an expected value of $p=0.5$, so that no signs of violations from General Relativity were detected.

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