Gravitational-Wave Inspiral of Compact Binary Systems to 7/2 Post-Newtonian Order

By L. Blanchet, G. Faye, B. Iyer, B. Joguet. 2001

162 citations recorded by the source corpus.

The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary’s center-of-mass energy and emitted gravitational flux. The analysis consistently includes the relativistic effects in the binary’s equations of motion and multipole moments, as well as the contributions of tails, and tails of tails, in the wave zone. However the result is not fully determined because of some physical incompleteness, present at the 3PN order, of the model of point-particle and the associated Hadamard-type self-field regularization. The orbital phase, whose prior knowledge is crucial for searching and analyzing the inspiral signal, is computed from the standard energy balance argument.

View Paper: https://www.semanticscholar.org/paper/65248f210770a06b833a76374fdbf7a1d035fb0f

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Citations in the corpus

• EXPLORING SHORT GAMMA-RAY BURSTS AS GRAVITATIONAL-WAVE STANDARD SIRENS (2009, background): “(10) Higher order results for df/dt are now known (Blanchet et al. 2002a,b, 2004), but 2PN order will be adequate for our purposes.”
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries (2002, unknown): “Page 65: Equation 165 corrected Page 65: Equation 167 corrected Page 65: Equation 168 corrected Page 66: Equation 170 corrected Page 66: Equation 171 corrected Page 66: Equation 172 corrected”