Exact analytic rotating black-hole solutions with primary hair

TL;DR

This paper presents a new class of exact, rotating black-hole solutions with primary hair in Generalized Proca theories, expanding the known solutions beyond Kerr black holes and highlighting their unique properties.

Contribution

The authors derive a broad set of exact rotating black-hole solutions with primary hair using a Kerr-Schild ansatz in Generalized Proca theories, revealing solutions that break traditional symmetries.

Findings

Solutions are asymptotically flat and exact.

Black holes possess primary hair and are non-circular.

Solutions differ significantly from Kerr black holes.

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.