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arXiv · 2010.02925

The Weyl Double Copy for Gravitational Waves

Hadi Godazgar·Mahdi Godazgar·Ricardo Monteiro·David Peinador Veiga·C. N. Pope
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Abstract

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.

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Hadi Godazgar, Mahdi Godazgar, Ricardo Monteiro, David Peinador Veiga, C. N. Pope. 2020-10-06. The Weyl Double Copy for Gravitational Waves. https://doi.org/10.1103/physrevlett.126.101103

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