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Published February 15, 2018 | Published + Submitted
Journal Article Open

Parametrized tests of the strong-field dynamics of general relativity using gravitational wave signals from coalescing binary black holes: Fast likelihood calculations and sensitivity of the method


Thanks to the recent discoveries of gravitational wave signals from binary black hole mergers by Advanced Laser Interferometer Gravitational Wave Observatory and Advanced Virgo, the genuinely strong-field dynamics of spacetime can now be probed, allowing for stringent tests of general relativity (GR). One set of tests consists of allowing for parametrized deformations away from GR in the template waveform models and then constraining the size of the deviations, as was done for the detected signals in previous work. In this paper, we construct reduced-order quadratures so as to speed up likelihood calculations for parameter estimation on future events. Next, we explicitly demonstrate the robustness of the parametrized tests by showing that they will correctly indicate consistency with GR if the theory is valid. We also check to what extent deviations from GR can be constrained as information from an increasing number of detections is combined. Finally, we evaluate the sensitivity of the method to possible violations of GR.

Additional Information

© 2018 American Physical Society. Received 23 December 2017; published 22 February 2018. The authors have benefited from discussions with many LIGO Scientific Collaboration (LSC) and Virgo Collaboration members. J. M., K. W. T., A. G., P. S., and C. V. D. B. are supported by the research program of the Netherlands Organisation for Scientific Research (NWO). M. A. acknowledges NWO-Rubicon Grant No. RG86688. T. L. was partially supported by a grant from the Research Grants Council of the Chinese University of Hong Kong (Project No. CUHK 24304317) and the Direct Grant for Research from the Research Committee of the Chinese University of Hong Kong. J. V. is supported by U.K. Science and Technology Facilities Council (STFC) Grant No. ST/K005014/1. K. B. and S. V. acknowledge the support of the National Science Foundation and the LIGO Laboratory. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement PHY-0757058. S. E. F. acknowledges support from the National Science Foundation through Grant No. PHY-1606654, the Sherman Fairchild Foundation, and helpful discussions with Saul Teukolsky. P. S. acknowledges NWO Veni Grant No. 680-47-460.

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Submitted - 1712.08772.pdf

Published - PhysRevD.97.044033.pdf


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August 19, 2023
August 19, 2023