Higher-Dimensional Slowly Rotating Black Holes in Nonlinear Electrodynamics
Abstract
We study slowly rotating, nonlinearly charged black holes in arbitrary spacetime dimension d ≥ 4, using a generalized Lense--Thirring ansatz. Working to linear order in the rotation parameters, we solve the Einstein--nonlinear electrodynamics (NLE) field equations for restricted theories cal L(cal S) depending on single invariant. We provide an extension of the four-dimensional "No Go theorem" proven in ArXiv:2203.01919 and demonstrate the uniqueness of Maxwell theory in d ≥ 4. Similar to four dimensions, it is proven that the standard rotation generating trick fails to produce full rotating solutions for any nontrivial NLE in higher dimensions. We identify a family of NLE theories admitting slowly rotating solutions with vector potentials encoding rotation effect in Maxwell-like manner; in four dimensions this reproduces the previously found RegMax theory, while in d≥4 we obtain the corresponding electric potential in closed form and the associated Lagrangian implicitly as a function of the radial coordinate.
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BibTeX
@misc{tahamtan2026higherdimensional,
title = {{Higher-Dimensional Slowly Rotating Black Holes in Nonlinear Electrodynamics}},
author = {Tayebeh Tahamtan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.15540},
eprint = {2609.15540},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.15540},
}
RIS
TY - UNPB
TI - Higher-Dimensional Slowly Rotating Black Holes in Nonlinear Electrodynamics
AU - Tayebeh Tahamtan
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.15540
UR - https://arxiv.org/abs/2609.15540
AB - We study slowly rotating, nonlinearly charged black holes in arbitrary spacetime dimension d ≥ 4, using a generalized Lense--Thirring ansatz. Working to linear order in the rotation parameters, we solve the Einstein--nonlinear electrodynamics (NLE) field equations for restricted theories cal L(cal S) depending on single invariant. We provide an extension of the four-dimensional "No Go theorem" proven in ArXiv:2203.01919 and demonstrate the uniqueness of Maxwell theory in d ≥ 4. Similar to four dimensions, it is proven that the standard rotation generating trick fails to produce full rotating solutions for any nontrivial NLE in higher dimensions. We identify a family of NLE theories admitting slowly rotating solutions with vector potentials encoding rotation effect in Maxwell-like manner; in four dimensions this reproduces the previously found RegMax theory, while in d≥4 we obtain the corresponding electric potential in closed form and the associated Lagrangian implicitly as a function of the radial coordinate.
ER -