Authors: Chandra Kant Mishra, K. G. Arun, Bala R. Iyer, B. S. Sathyaprakash
Date: 3 May 2010
Abstract: 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 class of theories which differ from general relativity in a parametrized sense. We demonstrate this possibility by employing the best inspiralling waveform models for nonspinning compact binaries which is 3.5PN accurate in phase and 3PN in amplitude. 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 GW phasing over the mass range of $11$-$44 M_\odot$. The choice of the lower frequency cutoff is important for testing post-Newtonian theory using the ET.
© M. Vallisneri 2012 — last modified on 2010/01/29
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