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Gravitational-wave tails of memory at 4PN order

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arxiv 2306.00546 v2 pith:QODL3HZK submitted 2023-06-01 gr-qc

classification gr-qc
keywords effectgravitationalmemorywaveslinearbackscatteringcombinationcomputation
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We study a novel cubic nonlinear effect, the tails-of-memory, which consist of a combination of the tail effect (backscattering of linear gravitational waves against the curvature of spacetime generated by the source) and the memory effect (due to reradiation of gravitational waves by linear gravitational waves themselves). Our final result is consistent with a straightforward direct computation of the memory effect, but also involves many non-trivial tail-like terms.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational-wave generation in the presence of Lorentz invariance violation

    gr-qc 2025-06 conditional novelty 7.0 of 10

    Gravitational waves in a class of Lorentz-violating gravity theories would have amplitude components that do not decay with distance, strongly constraining those theories.

  2. Gravitational memory and Ward identities in the local detector frame

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Gravitational memory in TT gauge is encoded in large residual diffeomorphisms that equal BMS transformations, and their Ward identities yield soft graviton theorems and flat-space consistency relations.

  3. Gravitational memory and soft theorems: The local perspective

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Gravitational memory is shown to be a large residual coordinate transformation in TT gauge, yielding new flat-space soft theorems for equal-time correlators that mirror inflationary consistency relations.

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