Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: General relativity has very specific predictions for the gravitationalwaveforms from inspiralling compact binaries obtained using the post-NewtonianPN approximation. We investigate the extent to which the measurement of thePN coefficients, possible with the second generation gravitationalwavedetectors such as the Advanced Laser Interferometer Gravitational-WaveObservatory LIGO and the third generation gravitational-wave detectors suchas the Einstein Telescope ET, could be used to test post-Newtonian theory andto put bounds on a subclass of parametrized-post-Einstein theories which differfrom general relativity in a parametrized sense. We demonstrate thispossibility by employing the best inspiralling waveform model for nonspinningcompact binaries which is 3.5PN accurate in phase and 3PN in amplitude. Withinthe class of theories considered, Advanced LIGO can test the theory at 1.5PNand thus the leading tail term. Future observations of stellar mass black holebinaries by ET can test the consistency between the various PN coefficients inthe gravitational-wave phasing over the mass range of 11-44 Msun. The choice ofthe lower frequency cut off is important for testing post-Newtonian theoryusing the ET. The bias in the test arising from the assumption of nonspinningbinaries is indicated.



Author: Chandra Kant Mishra, K. G. Arun, Bala R. Iyer, B. S. Sathyaprakash

Source: https://arxiv.org/







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