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  • Open Access

Kerr-Schild double copy of the Randall-Sundrum black string

Jesús A. Rodríguez*

  • *Contact author: jesurodriguez@uade.edu.ar
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Phys. Rev. D 114, 026017 – Published 14 July, 2026

DOI: https://doi.org/10.1103/fc3g-llcq

Abstract

We construct the Kerr-Schild classical double copy of the black string in the Randall-Sundrum II model, deriving the single and zeroth copies and verifying the associated field equations. The single copy gauge field is independent of the holographic coordinate and satisfies a sourceless Maxwell equation on the curved background, in direct analogy with the Coulomb field of the Schwarzschild double copy. The zeroth copy scalar obeys a modified Klein-Gordon equation with a first-order derivative term along the extra dimension; a field redefinition yields a standard Klein-Gordon equation with effective mass m2=12/l2, induced by the warp factor. We further show that an alternative Kerr-Schild splitting, gravitationally equivalent to the canonical one, produces a physically inequivalent double copy: the gauge field is supported by a conserved but delocalized bulk current, and the zeroth copy satisfies a massless equation that carries no imprint of the warped extra dimension.

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Phys. Rev. D 114, 026017– Published 14 July, 2026
  • Received 13 April 2026
  • Accepted 29 June 2026
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