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Parametrized tests of post-Newtonian theory using principal component analysis

Saleem, M., Datta, Sayantani, Arun, K. G. and Sathyaprakash, B. S. ORCID: 2022. Parametrized tests of post-Newtonian theory using principal component analysis. Physical Review D 105 (8) , 084062. 10.1103/PhysRevD.105.084062

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Searching for departures from general relativity (GR) in more than one post-Newtonian (PN) phasing coefficients, called a multiparameter test, is known to be ineffective given the sensitivity of the present generation of gravitational-wave detectors. Strong degeneracies in the parameter space make the outcome of the test uninformative. We argue that principal component analysis (PCA) can remedy this problem by constructing certain linear combinations of the original PN parameters that are better constrained by gravitational-wave observations. By analyzing binary black hole events detected during the first and second observing runs (O1 and O2) of LIGO/Virgo, we show that the two dominant principal components can capture the essence of a multiparameter test. Combining five binary black hole mergers during O1 and O2, we find that the dominant linear combination of the PN coefficients obtained from PCA, δ ^ ϕ ( 1 ) PCA , is consistent with GR within the 0.38 standard deviation of the posterior distribution. Furthermore, using a set of simulated non-GR signals in the three-detector LIGO-Virgo network with designed sensitivities, we find that the method is capable of excluding GR with high confidence as well as recovering the injected values of the non-GR parameters with good precision.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Publisher: American Physical Society
ISSN: 2470-0010
Date of First Compliant Deposit: 25 August 2022
Date of Acceptance: 22 March 2022
Last Modified: 10 Nov 2022 22:07

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