Asymptotic symmetry algebra of Einstein gravity and Lorentz generators
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929248955006976 |
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| author | Fuentealba, Oscar Henneaux, Marc Troessaert, Cédric |
| author_facet | Fuentealba, Oscar Henneaux, Marc Troessaert, Cédric |
| contents | The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincaré algebra and of an infinite-dimensional abelian algebra (with central charge) that includes the Bondi-Metzner-Sachs supertranslations. This result, obtained within the Hamiltonian formalism, yields a supertranslation invariant definition of the Lorentz generators (angular momentum and boosts). Definitions of Lorentz generators free from the ``supertranslation ambiguities'' have also been proposed recently at null infinity. We prove the equivalence of the two approaches for redefining the charges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05436 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotic symmetry algebra of Einstein gravity and Lorentz generators Fuentealba, Oscar Henneaux, Marc Troessaert, Cédric High Energy Physics - Theory General Relativity and Quantum Cosmology The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincaré algebra and of an infinite-dimensional abelian algebra (with central charge) that includes the Bondi-Metzner-Sachs supertranslations. This result, obtained within the Hamiltonian formalism, yields a supertranslation invariant definition of the Lorentz generators (angular momentum and boosts). Definitions of Lorentz generators free from the ``supertranslation ambiguities'' have also been proposed recently at null infinity. We prove the equivalence of the two approaches for redefining the charges. |
| title | Asymptotic symmetry algebra of Einstein gravity and Lorentz generators |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.05436 |