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Spatially local energy density of gravitational waves

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arxiv 2405.08808 v2 pith:2PLRJIUP submitted 2024-05-14 gr-qc hep-th

Antoine Rignon-Bret , Simone Speziale This is my paper · ORCID
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keywords chargesdensityenergyfluxgravitationallocalspatiallysymplectic
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We propose a new set of BMS charges at null infinity, characterized by a super-translation flux that contains only the `hard' term. This is achieved with a specific corner improvement of the symplectic 2-form, and we spell the conditions under which it is unique. The charges are associated to a Wald-Zoupas symplectic potential, and satisfy all standard criteria: they are covariant, provide a center-less realization of the symmetry algebra, have vanishing flux in non-radiative spacetimes, and vanish in Minkowski. We use them to define a notion of spatially localized energy density of gravitational waves, and explain how it can be measured doing experiments which are purely local in space and over an extended period of time.

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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. Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law

    hep-th 2026-01 conditional novelty 5.0 of 10

    At future null infinity, the generalized second law for a Schwarzschild black hole becomes the monotonic decrease of a free energy, or grand potential, constructed from the Bondi mass and angular-mode chemical potentials.

  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...

  3. ADM, BMS, and some puzzling interconnections

    gr-qc 2025-05 conditional novelty 4.0 of 10

    A perspective paper on ADM/BMS interconnections that separates radiative and static angular-momentum loss, and uses an explicit O(G) example to show antipodal energy matching at i0 is not actual energy flow.

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