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PreprintCC BY 4.0arXiv

The Double Copy of the Black Ring

  • Damien A. Easson
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Abstract

We construct an exact Weyl double copy of the singly spinning five-dimensional Emparan--Reall black ring. Its complete nonlinear Weyl curvature is the sum of two scalar-weighted Maxwell squares. One field is generated by the stationary Killing vector; the other carries topological magnetic flux through a sphere linking the ring. Both are source-free Maxwell fields on the black-ring spacetime, with corresponding scalar partners obeying a common sourced wave equation. This extends exact five-dimensional Weyl doubling beyond the type-D and type-N examples to a black hole whose exterior contains both type-G and type-Ii regions. The Weyl polynomial factorizes into two distinct irreducible quadratics, establishing genuine De Smet type $22$, thereby ruling out a reduction to a single Maxwell square.

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Cite

BibTeXRIS
BibTeX
@misc{easson2026double,
  title = {{The Double Copy of the Black Ring}},
  author = {Damien A. Easson},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25209},
  eprint = {2609.25209},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25209},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Double Copy of the Black Ring
AU  - Damien A. Easson
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25209
UR  - https://arxiv.org/abs/2609.25209
AB  - We construct an exact Weyl double copy of the singly spinning five-dimensional Emparan--Reall black ring. Its complete nonlinear Weyl curvature is the sum of two scalar-weighted Maxwell squares. One field is generated by the stationary Killing vector; the other carries topological magnetic flux through a sphere linking the ring. Both are source-free Maxwell fields on the black-ring spacetime, with corresponding scalar partners obeying a common sourced wave equation. This extends exact five-dimensional Weyl doubling beyond the type-D and type-N examples to a black hole whose exterior contains both type-G and type-I_i regions. The Weyl polynomial factorizes into two distinct irreducible quadratics, establishing genuine De Smet type $22$, thereby ruling out a reduction to a single Maxwell square.
ER  -