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Gravitational memory effects and higher derivative actions

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arxiv 2206.12339 v3 pith:IKYPEVSV submitted 2022-06-24 gr-qc hep-th

Mahdi Godazgar , George Macaulay , Ali Seraj This is my paper · ORCID
classification gr-qchep-th
keywords chargederivativeeffectsfreely-fallinggravitationalhigherinternallorentz
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We show that charges associated with the internal Lorentz symmetries of general relativity, with higher derivative boundary terms included in the action, capture observable gravitational wave effects. In particular, the Gauss-Bonnet charge measures the precession rate of a freely-falling gyroscope, while the Pontryagin charge encodes the relative radial acceleration of freely-falling test masses. This relation highlights the importance of the tetrad formalism and the physical significance of asymptotic internal Lorentz symmetries.

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Cited by 2 Pith papers

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  1. 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.

  2. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

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