Spin-dependent gravitational tail memory in

D Ghosh, B Sahoo - Physical Review D, 2022 - APS
Physical Review D, 2022APS
We derive the leading spin-dependent gravitational tail memory, which appears at the
second post-Minkowskian order and behaves as u-2 for large retarded time u. This result
follows from the classical soft graviton theorem at order ω ln ω as a low-frequency expansion
of the gravitational waveform with frequency ω. First, we conjecture the gravitational
waveform from the classical limit of the quantum soft graviton theorem up to sub-subleading
order in a soft expansion, and then we derive it for a classical scattering process without any …
We derive the leading spin-dependent gravitational tail memory, which appears at the second post-Minkowskian order and behaves as for large retarded time . This result follows from the classical soft graviton theorem at order as a low-frequency expansion of the gravitational waveform with frequency . First, we conjecture the gravitational waveform from the classical limit of the quantum soft graviton theorem up to sub-subleading order in a soft expansion, and then we derive it for a classical scattering process without any reference to the soft graviton theorem. We show that the final result of the gravitational waveform in the direct derivation completely agrees with the conjectured waveform.
American Physical Society
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