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arXiv · 2601.21163

Exact analytic rotating black-hole solutions with primary hair

Pedro G. S. Fernandes
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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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Pedro G. S. Fernandes. 2026-01-29. Exact analytic rotating black-hole solutions with primary hair. https://arxiv.org/abs/2601.21163

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