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Parameterized 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

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Abstract
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.
Keywords
RADIATION, MASS

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MLA
Meidam, Jeroen, et al. “Parameterized 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.” PHYSICAL REVIEW D, vol. 97, 2018, doi:10.1103/PhysRevD.97.044033.
APA
Meidam, J., Tsang, K. W., Goldstein, J., Agathos, M., Ghosh, A., Haster, C.-J., … Vitale, S. (2018). Parameterized 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. PHYSICAL REVIEW D, 97. https://doi.org/10.1103/PhysRevD.97.044033
Chicago author-date
Meidam, Jeroen, Ka Wa Tsang, Janna Goldstein, Michalis Agathos, Archisman Ghosh, Carl-Johan Haster, Vivien Raymond, et al. 2018. “Parameterized 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.” PHYSICAL REVIEW D 97. https://doi.org/10.1103/PhysRevD.97.044033.
Chicago author-date (all authors)
Meidam, Jeroen, Ka Wa Tsang, Janna Goldstein, Michalis Agathos, Archisman Ghosh, Carl-Johan Haster, Vivien Raymond, Anuradha Samajdar, Patricia Schmidt, Rory Smith, Kent Blackburn, Walter Del Pozzo, Scott E. Field, Tjonnie Li, Michael Pürrer, Chris Van Den Broeck, John Veitch, and Salvatore Vitale. 2018. “Parameterized 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.” PHYSICAL REVIEW D 97. doi:10.1103/PhysRevD.97.044033.
Vancouver
1.
Meidam J, Tsang KW, Goldstein J, Agathos M, Ghosh A, Haster C-J, et al. Parameterized 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. PHYSICAL REVIEW D. 2018;97.
IEEE
[1]
J. Meidam et al., “Parameterized 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,” PHYSICAL REVIEW D, vol. 97, 2018.
@article{8705829,
  abstract     = {{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.}},
  articleno    = {{044033}},
  author       = {{Meidam, Jeroen and Tsang, Ka Wa and Goldstein, Janna and Agathos, Michalis and Ghosh, Archisman and Haster, Carl-Johan and Raymond, Vivien and Samajdar, Anuradha and Schmidt, Patricia and Smith, Rory and Blackburn, Kent and Del Pozzo, Walter and Field, Scott E. and Li, Tjonnie and Pürrer, Michael and Van Den Broeck, Chris and Veitch, John and Vitale, Salvatore}},
  issn         = {{2470-0010:}},
  journal      = {{PHYSICAL REVIEW D}},
  keywords     = {{RADIATION,MASS}},
  language     = {{eng}},
  pages        = {{19}},
  title        = {{Parameterized 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}},
  url          = {{http://doi.org/10.1103/PhysRevD.97.044033}},
  volume       = {{97}},
  year         = {{2018}},
}

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