Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.064010· OSTI ID:21421152

Mishra, Chandra Kant ^[1]; Arun, K G ^[2]; Iyer, Bala R ^[1]; Sathyaprakash, B S ^[3]

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1. Raman Research Institute, Bangalore, 560 080 (India)
2. McDonnell Center for the Space Sciences, Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
3. School of Physics and Astronomy, Cardiff University, 5, The Parade, Cardiff, United Kingdom, CF24 3YB (United Kingdom)

General relativity has very specific predictions for the gravitational waveforms from inspiralling compact binaries obtained using the post-Newtonian (PN) approximation. We investigate the extent to which the measurement of the PN coefficients, possible with the second generation gravitational-wave detectors such as the Advanced Laser Interferometer Gravitational-Wave Observatory (LIGO) and the third generation gravitational-wave detectors such as the Einstein Telescope (ET), could be used to test post-Newtonian theory and to put bounds on a subclass of parametrized-post-Einstein theories which differ from general relativity in a parametrized sense. We demonstrate this possibility by employing the best inspiralling waveform model for nonspinning compact binaries which is 3.5PN accurate in phase and 3PN in amplitude. Within the class of theories considered, Advanced LIGO can test the theory at 1.5PN and thus the leading tail term. Future observations of stellar mass black hole binaries by ET can test the consistency between the various PN coefficients in the gravitational-wave phasing over the mass range of 11-44M{sub {center_dot}}. The choice of the lower frequency cutoff is important for testing post-Newtonian theory using the ET. The bias in the test arising from the assumption of nonspinning binaries is indicated.

• OSTI ID: 21421152
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.064010; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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GRAVITATIONAL WAVE DETECTORS
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