The Weyl Double Copy for Gravitational Waves
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866911316895072256 |
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| author | Godazgar, Hadi Godazgar, Mahdi Monteiro, Ricardo Veiga, David Peinador Pope, C. N. |
| author_facet | Godazgar, Hadi Godazgar, Mahdi Monteiro, Ricardo Veiga, David Peinador Pope, C. N. |
| contents | We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational systems with appropriate fall-off for the matter fields, admit a degenerate Maxwell field that squares to give the Weyl tensor. This relation defines a scalar that satisfies the wave equation on the background. We show that for non-twisting radiative solutions, the Maxwell field and the scalar also satisfy the Maxwell equation and the wave equation on Minkowski spacetime. Hence, non-twisting solutions have a straightforward double copy interpretation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2010_02925 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Weyl Double Copy for Gravitational Waves Godazgar, Hadi Godazgar, Mahdi Monteiro, Ricardo Veiga, David Peinador Pope, C. N. High Energy Physics - Theory General Relativity and Quantum Cosmology We establish the status of the Weyl double copy relation for radiative solutions of the vacuum Einstein equations. We show that all type N vacuum solutions, which describe the radiation region of isolated gravitational systems with appropriate fall-off for the matter fields, admit a degenerate Maxwell field that squares to give the Weyl tensor. This relation defines a scalar that satisfies the wave equation on the background. We show that for non-twisting radiative solutions, the Maxwell field and the scalar also satisfy the Maxwell equation and the wave equation on Minkowski spacetime. Hence, non-twisting solutions have a straightforward double copy interpretation. |
| title | The Weyl Double Copy for Gravitational Waves |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2010.02925 |