A proof of conservation laws in gravitational scattering: tails and breaking of peeling
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910145380876288 |
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| author | Compère, Geoffrey Robert, Sébastien |
| author_facet | Compère, Geoffrey Robert, Sébastien |
| contents | We propose a definition of asymptotically flat spacetimes that is consistent with both null infinities and compatible with known properties of gravitational scattering, incoming and outgoing radiation, and interactions with matter. For this class of spacetimes, we prove three antipodal matching conditions at spatial infinity: one for the so-called dual mass aspect, one for the leading tail of the shear, and one that non-trivially relates the peeling properties of the spacetime at past and null infinities to the leading tail and mass aspect at spatial infinity. Furthermore, we reformulate these identities as asymptotic conservation laws defined on the boundary hyperboloid at spatial infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08705 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A proof of conservation laws in gravitational scattering: tails and breaking of peeling Compère, Geoffrey Robert, Sébastien High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We propose a definition of asymptotically flat spacetimes that is consistent with both null infinities and compatible with known properties of gravitational scattering, incoming and outgoing radiation, and interactions with matter. For this class of spacetimes, we prove three antipodal matching conditions at spatial infinity: one for the so-called dual mass aspect, one for the leading tail of the shear, and one that non-trivially relates the peeling properties of the spacetime at past and null infinities to the leading tail and mass aspect at spatial infinity. Furthermore, we reformulate these identities as asymptotic conservation laws defined on the boundary hyperboloid at spatial infinity. |
| title | A proof of conservation laws in gravitational scattering: tails and breaking of peeling |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2603.08705 |