Expanding on the double copy in null Fermi coordinates
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912319325339648 |
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| author | Chawla, Samarth Fransen, Kwinten Keeler, Cynthia |
| author_facet | Chawla, Samarth Fransen, Kwinten Keeler, Cynthia |
| contents | We propose a Weyl classical double copy for a Fermi normal coordinate expansion around null geodesics. To leading order in this "Penrose expansion", we recover a previously proposed double copy of the Penrose limit. For spacetimes with an exact double copy, this Penrose limit double copy is extended to all orders. For spacetimes without such a double copy, generic obstructions appear at second subleading order. We thus argue that for any spacetime, near any null geodesic there is a classical double copy structure at least up to first subleading order in the Penrose expansion. Finally, we point out a difficulty in identifying an appropriate flat space to extend our results to the Kerr-Schild double copy, related to the generic incompatibility between Kerr-Schild and Penrose-Güven gauge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Expanding on the double copy in null Fermi coordinates Chawla, Samarth Fransen, Kwinten Keeler, Cynthia High Energy Physics - Theory General Relativity and Quantum Cosmology We propose a Weyl classical double copy for a Fermi normal coordinate expansion around null geodesics. To leading order in this "Penrose expansion", we recover a previously proposed double copy of the Penrose limit. For spacetimes with an exact double copy, this Penrose limit double copy is extended to all orders. For spacetimes without such a double copy, generic obstructions appear at second subleading order. We thus argue that for any spacetime, near any null geodesic there is a classical double copy structure at least up to first subleading order in the Penrose expansion. Finally, we point out a difficulty in identifying an appropriate flat space to extend our results to the Kerr-Schild double copy, related to the generic incompatibility between Kerr-Schild and Penrose-Güven gauge. |
| title | Expanding on the double copy in null Fermi coordinates |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.07224 |