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Gravitational memory and soft theorems: The local perspective

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arxiv 2412.01910 v2 pith:VVQ7KA2B submitted 2024-12-02 gr-qc hep-th

Valerio De Luca , Justin Khoury , Sam S. C. Wong This is my paper
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keywords gravitationalmemorysofttheoremsdetectorslocalrelationsamplitudes
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In general relativity, gravitational memory describes the lasting change in the separation and relative velocity of freely falling detectors after the passage of gravitational waves (GWs). In this paper, we elucidate the relation between Bondi-Metzner-Sachs transformations at future null infinity and the description of gravitational memory in local synchronous coordinates, commonly used in GW detectors like LISA. We show that gravitational memory corresponds to large residual diffeomorphisms in this gauge, such as volume-preserving spatial rescalings. We reproduce the associated soft theorems for scattering amplitudes. Finally, we derive novel soft theorems for equal-time (in-in) correlation functions, which are recognized as the flat space analogues of inflationary consistency relations with a soft tensor mode. These relations provide a pathway toward uncovering deeper connections between gravitational memory and cosmological correlators.

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Cited by 4 Pith papers

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

  1. The Persistence of Nonlinear Gravitational Wave Memory

    gr-qc 2025-06 conditional novelty 8.0 of 10

    Nonlinear gravitational wave memory is not permanent for a fixed observer: it decays as one over the time since the burst, though it remains permanent at future null infinity.

  2. Gravitational Memory Beyond Null Infinity through Finite-Distance Carrollian Screens

    hep-th 2026-07 conditional novelty 6.0 of 10

    Finite-distance null screens carry a Carrollian memory whose leading tracefree large-radius part reproduces the standard Bondi displacement memory in Robinson–Trautman spacetimes.

  3. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  4. Gravitational memory effects in Tachyon gravity

    gr-qc 2025-07 conditional novelty 5.0 of 10

    In tachyon gravity, the scalar field adds a breathing memory mode to gravitational waves and modifies the Bondi mass loss and soft theorems.

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