Spatially local energy density of gravitational waves
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)048 |
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| author | Antoine Rignon-Bret Simone Speziale |
| author_facet | Antoine Rignon-Bret Simone Speziale |
| author_sort | Antoine Rignon-Bret |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-80978e8feb374b8e9e65f84e2c4e28ae |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-80978e8feb374b8e9e65f84e2c4e28ae2025-08-20T03:10:05ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025311610.1007/JHEP03(2025)048Spatially local energy density of gravitational wavesAntoine Rignon-Bret0Simone Speziale1Aix Marseille Univ., Univ. de Toulon, CNRS, CPT, UMR 7332Aix Marseille Univ., Univ. de Toulon, CNRS, CPT, UMR 7332Abstract 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.https://doi.org/10.1007/JHEP03(2025)048Classical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Antoine Rignon-Bret Simone Speziale Spatially local energy density of gravitational waves Journal of High Energy Physics Classical Theories of Gravity Space-Time Symmetries |
| title | Spatially local energy density of gravitational waves |
| title_full | Spatially local energy density of gravitational waves |
| title_fullStr | Spatially local energy density of gravitational waves |
| title_full_unstemmed | Spatially local energy density of gravitational waves |
| title_short | Spatially local energy density of gravitational waves |
| title_sort | spatially local energy density of gravitational waves |
| topic | Classical Theories of Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP03(2025)048 |
| work_keys_str_mv | AT antoinerignonbret spatiallylocalenergydensityofgravitationalwaves AT simonespeziale spatiallylocalenergydensityofgravitationalwaves |