PreprintCC BY 4.0arXiv
A new class of rotating black hole solutions endowed with a scalar hair
Abstract
We present new hairy stationary and axisymmetric black hole solutions. These solutions belong to a subclass of Horndeski scalar-tensor theories, in which there is no non-minimal coupling to curvature. The full rotating solutions are obtained numerically using the Kadath library based on spectral methods. The metric does not rely on an explicit ansatz but rather on the use of a set of numerical coordinates. Black holes obtained differ from Kerr in general, and depend on a new independent parameter, a primary hair, coming from a linear time dependence in the scalar field. These solutions admit a Killing horizon like the Kerr black hole, but are non-circular, and break the zeroth law of black hole thermodynamics.
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BibTeX
@misc{candan2026class,
title = {{A new class of rotating black hole solutions endowed with a scalar hair}},
author = {Hugo Candan and Philippe Grandclement},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26678},
eprint = {2610.26678},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26678},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A new class of rotating black hole solutions endowed with a scalar hair
AU - Hugo Candan
AU - Philippe Grandclement
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26678
UR - https://arxiv.org/abs/2610.26678
AB - We present new hairy stationary and axisymmetric black hole solutions. These solutions belong to a subclass of Horndeski scalar-tensor theories, in which there is no non-minimal coupling to curvature. The full rotating solutions are obtained numerically using the Kadath library based on spectral methods. The metric does not rely on an explicit ansatz but rather on the use of a set of numerical coordinates. Black holes obtained differ from Kerr in general, and depend on a new independent parameter, a primary hair, coming from a linear time dependence in the scalar field. These solutions admit a Killing horizon like the Kerr black hole, but are non-circular, and break the zeroth law of black hole thermodynamics.
ER -