Exact analytic rotating black-hole solutions with primary hair
General Relativity and Quantum Cosmology
2026-01-30 v1 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Abstract
Exact, analytic, asymptotically flat rotating black-hole solutions are exceedingly rare, with only a handful of examples known. Using a Kerr-Schild ansatz, we derive a multitude of exact, analytic, asymptotically flat rotating black-hole solutions within a broad class of Generalized Proca theories. These black holes differ significantly from Kerr black holes, as they possess primary hair and are non-circular, thus breaking a symmetry that vacuum black holes exhibit in General Relativity.
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Cite
@article{arxiv.2601.21163,
title = {Exact analytic rotating black-hole solutions with primary hair},
author = {Pedro G. S. Fernandes},
journal= {arXiv preprint arXiv:2601.21163},
year = {2026}
}
Comments
14 pages + references