Braneworld tidal charge through the classical double copy
Abstract
We investigate the classical double copy of the rotating black-hole geometry induced on the brane in the Randall-Sundrum II scenario. The influence of the five-dimensional bulk is encoded in the effective four-dimensional geometry through a tidal charge, while the metric admits a Kerr-Schild representation over a flat background. We construct the corresponding single and zeroth copies and find that their regular sources are entirely proportional to the tidal charge, whereas the mass-dependent contribution is source-free in the regular region. Comparison with Kerr-Newman reveals a formal correspondence between the tidal charge and the squared electromagnetic charge at the level of the induced geometry and its double copies, despite their different physical origins and the fact that the tidal charge may take either sign. When an electromagnetic field is included on the brane, both contributions enter the low-energy Kerr-Schild geometry and its double copies only through the combination Q2+β. These results illustrate how physically distinct brane and bulk contributions can become indistinguishable in the classical double copy of an effective geometry.
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BibTeX
@misc{cruz2026braneworld,
title = {{Braneworld tidal charge through the classical double copy}},
author = {Juan C. La Cruz and Jesús A. Rodríguez},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24521},
eprint = {2609.24521},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24521},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Braneworld tidal charge through the classical double copy
AU - Juan C. La Cruz
AU - Jesús A. Rodríguez
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24521
UR - https://arxiv.org/abs/2609.24521
AB - We investigate the classical double copy of the rotating black-hole geometry induced on the brane in the Randall-Sundrum II scenario. The influence of the five-dimensional bulk is encoded in the effective four-dimensional geometry through a tidal charge, while the metric admits a Kerr-Schild representation over a flat background. We construct the corresponding single and zeroth copies and find that their regular sources are entirely proportional to the tidal charge, whereas the mass-dependent contribution is source-free in the regular region. Comparison with Kerr-Newman reveals a formal correspondence between the tidal charge and the squared electromagnetic charge at the level of the induced geometry and its double copies, despite their different physical origins and the fact that the tidal charge may take either sign. When an electromagnetic field is included on the brane, both contributions enter the low-energy Kerr-Schild geometry and its double copies only through the combination Q^2+β. These results illustrate how physically distinct brane and bulk contributions can become indistinguishable in the classical double copy of an effective geometry.
ER -