Gravitational-wave tails of memory

Abstract

Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source. The non-linear memory effect arises from gravitational waves sourced by the stress-energy distribution of linear waves themselves. These two effects are due to quadratic multipolar interactions (mass-quadrupole and quadrupole-quadrupole) and are well known. Also known are the tails generated by tails themselves (cubic "tails-of-tails") and the tails generated by tails-of-tails or vice versa (quartic "tails-of-tails-of-tails"). In this work, we focus on the cubic "tails-of-memory" corresponding to the mass-quadrupole-quadrupole interaction, as well as the "spin-quadrupole tails", which are due to the cubic interaction between the mass, the total angular momentum and the quadrupole. The tails-of-memory and the spin-quadrupole tails contribute to the asymptotic waveform at the fourth-post-Newtonian (4PN) order beyond quadrupolar radiation.

40 page, 1 figure, 1 table and 2 ancillary files

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• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• The Quadrupole Moment of Compact Binaries to the Fourth post-Newtonian Order: Relating the Harmonic and Radiative Metrics
• Symmetries of the gravitational scattering in the absence of peeling
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• Gravitational memory: new results from post-Newtonian and self-force theory
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
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• Memory Effect of Gravitational Wave Pulses in PP-Wave Spacetimes
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• Tests of general relativity at the fourth post-Newtonian order
• Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
• General Fourier expansion of post-Newtonian binary dynamics based on a quasi-Keplerian framework