Gravitational Poisson brackets at null infinity compatible with smooth superrotations
Abstract Superrotations are local extensions of the Lorentz group at null infinity that have been argued to be symmetries of gravitational scattering. In their smooth version, they can be identified with the group of diffeomorphisms on the celestial sphere. Their canonical realization requires treat...
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| Format: | Article |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)170 |
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| _version_ | 1841559895710629888 |
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| author | Miguel Campiglia Adarsh Sudhakar |
| author_facet | Miguel Campiglia Adarsh Sudhakar |
| author_sort | Miguel Campiglia |
| collection | DOAJ |
| description | Abstract Superrotations are local extensions of the Lorentz group at null infinity that have been argued to be symmetries of gravitational scattering. In their smooth version, they can be identified with the group of diffeomorphisms on the celestial sphere. Their canonical realization requires treating the celestial metric as a variable in the gravitational phase space, along with the news and shear tensors. In this paper, we derive the resulting Poisson brackets (PB). The standard PB algebra of the news and shear tensors is augmented by distributional terms at the boundaries of null infinity, including novel PB relations between the celestial metric and the radiative variables. |
| format | Article |
| id | doaj-art-92f6db89d2bf4633a9aea2cad08cfa6d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-92f6db89d2bf4633a9aea2cad08cfa6d2025-01-05T12:06:16ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241216610.1007/JHEP12(2024)170Gravitational Poisson brackets at null infinity compatible with smooth superrotationsMiguel Campiglia0Adarsh Sudhakar1Facultad de Ciencias, Universidad de la República Igúa 4225Institute of Mathematical SciencesAbstract Superrotations are local extensions of the Lorentz group at null infinity that have been argued to be symmetries of gravitational scattering. In their smooth version, they can be identified with the group of diffeomorphisms on the celestial sphere. Their canonical realization requires treating the celestial metric as a variable in the gravitational phase space, along with the news and shear tensors. In this paper, we derive the resulting Poisson brackets (PB). The standard PB algebra of the news and shear tensors is augmented by distributional terms at the boundaries of null infinity, including novel PB relations between the celestial metric and the radiative variables.https://doi.org/10.1007/JHEP12(2024)170Classical Theories of GravityGauge SymmetrySpace-Time Symmetries |
| spellingShingle | Miguel Campiglia Adarsh Sudhakar Gravitational Poisson brackets at null infinity compatible with smooth superrotations Journal of High Energy Physics Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries |
| title | Gravitational Poisson brackets at null infinity compatible with smooth superrotations |
| title_full | Gravitational Poisson brackets at null infinity compatible with smooth superrotations |
| title_fullStr | Gravitational Poisson brackets at null infinity compatible with smooth superrotations |
| title_full_unstemmed | Gravitational Poisson brackets at null infinity compatible with smooth superrotations |
| title_short | Gravitational Poisson brackets at null infinity compatible with smooth superrotations |
| title_sort | gravitational poisson brackets at null infinity compatible with smooth superrotations |
| topic | Classical Theories of Gravity Gauge Symmetry Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP12(2024)170 |
| work_keys_str_mv | AT miguelcampiglia gravitationalpoissonbracketsatnullinfinitycompatiblewithsmoothsuperrotations AT adarshsudhakar gravitationalpoissonbracketsatnullinfinitycompatiblewithsmoothsuperrotations |