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Gravitational-wave tails of tails
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The tails of gravitational waves are caused by scattering of linear waves onto the space-time curvature generated by the total mass-energy of the source. Quite naturally, the tails of tails are caused by curvature scattering of the tails of waves themselves. The tails of tails are associated with the cubic non-linear interaction between two mass monopole moments and, dominantly, the mass quadrupole of the source. In this paper we determine the radiation field at large distances from the source for this particular monopole-monopole-quadrupole interaction. We find that the tails of tails appear at the third post-Newtonian (3PN) order beyond the usual quadrupole radiation. Motivated by the need of accurate templates to be used in the data analysis of future detectors of gravitational waves, we compute the contribution of tails, and of tails of tails, up to the 3.5PN order in the energy flux generated by inspiraling compact binaries.
Forward citations
Cited by 5 Pith papers
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High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system
The paper derives 6.5PN tail-of-tail contributions to binary dynamics and finds agreement with independent self-force and worldline-EFT results.
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Resummation of Universal Tails in Gravitational Waveforms
A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.
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Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
Tidal contributions to all gravitational waveform amplitude modes up to l=7 are derived to 2.5PN for quasi-circular non-spinning compact binaries, with flux and phasing provided at the same order.
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High-order effective-one-body tidal interactions and gravitational scattering
High-order PM tidal corrections improve EOB predictions for neutron-star gravitational scattering and lay groundwork for PM-based tidal EOB waveforms.
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High Precision Black Hole Scattering: Tutti Frutti vs Worldline Effective Field Theory
The Tutti Frutti and Worldline Effective Field Theory formalisms agree for black hole scattering through fifth post-Minkowskian order, with new second-self-force predictions for two gauge-invariant observables.
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