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Nonlinear Gravitational Memory in the Post-Minkowskian Expansion.

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This summary is machine-generated.

This study computes the nonlinear gravitational memory waveform for compact object scattering using a novel amplitude-based method. This provides a crucial benchmark for gravitational wave research.

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Area of Science:

  • Gravitational Wave Physics
  • General Relativity
  • High-Energy Astrophysics

Background:

  • The gravitational memory effect is a crucial prediction of general relativity, representing a permanent distortion of spacetime after a gravitational wave event.
  • Previous calculations of the nonlinear gravitational memory waveform have been limited in scope or computational approach.

Purpose of the Study:

  • To compute the leading-order nonlinear gravitational memory waveform for the scattering of two compact objects within the post-Minkowskian expansion.
  • To utilize a scattering-amplitude-based approach to naturally incorporate the nonlinear memory as a soft graviton contribution.

Main Methods:

  • Employing a scattering-amplitude-based representation of the gravitational waveform.
  • Applying multipolar decomposition to the waveform.
  • Utilizing the reverse unitarity method for exact-in-velocity predictions.

Main Results:

  • The first computation of the nonlinear gravitational memory waveform for compact object scattering at leading order in the post-Minkowskian expansion.
  • Explicit exact-in-velocity predictions derived from the reverse unitarity method.
  • Validation of results through agreement with velocity-expanded post-Newtonian multipoles.

Conclusions:

  • The study successfully computes the gauge-invariant, nonanalytic-in-frequency part of the O(G^{3}) multipolar waveform.
  • The findings provide a valuable benchmark for future theoretical and observational studies of gravitational waves and compact object mergers.