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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.14421 |
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| _version_ | 1866916375197384704 |
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| author | Mougiakakos, Stavros Vanhove, Pierre |
| author_facet | Mougiakakos, Stavros Vanhove, Pierre |
| contents | We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective worldline action of a massive point particle allows to derive a recursion relation for the form factors of the off-shell graviton emission current. The unique solution to the recursion relation leads to the Schwarzschild black-hole solution in four dimensions. This provides the first derivation of the black hole metric from a matter source to all orders in perturbation theory from an amplitude approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schwarzschild metric from Scattering Amplitudes to all orders in $G_N$ Mougiakakos, Stavros Vanhove, Pierre High Energy Physics - Theory General Relativity and Quantum Cosmology We apply a formulation of Einstein's general relativity with only cubic interactions for deriving the metric of a Schwarzschild black hole to all orders in perturbation theory. This cubic interactions formulation coupled to effective worldline action of a massive point particle allows to derive a recursion relation for the form factors of the off-shell graviton emission current. The unique solution to the recursion relation leads to the Schwarzschild black-hole solution in four dimensions. This provides the first derivation of the black hole metric from a matter source to all orders in perturbation theory from an amplitude approach. |
| title | Schwarzschild metric from Scattering Amplitudes to all orders in $G_N$ |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.14421 |