Weyl Double Copy for Gravitational Waves. Academic Article uri icon


  • 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 falloff for the matter fields, admit a degenerate Maxwell field that squares to give the Weyl tensor. The converse statement also holds, i.e., if there exists a degenerate Maxwell field on a curved background, then the background is type N. This relation defines a scalar that satisfies the wave equation on the background. We show that for nontwisting radiative solutions, the Maxwell field and the scalar also satisfy the Maxwell equation and the wave equation on Minkowski spacetime. Hence, nontwisting solutions have a straightforward double copy interpretation.

published proceedings

  • Phys Rev Lett

altmetric score

  • 0.75

author list (cited authors)

  • Godazgar, H., Godazgar, M., Monteiro, R., Veiga, D. P., & Pope, C. N.

citation count

  • 21

complete list of authors

  • Godazgar, Hadi||Godazgar, Mahdi||Monteiro, Ricardo||Veiga, David Peinador||Pope, CN

publication date

  • March 2021