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Rotating black holes can have short bristles

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arxiv 1411.2609 v1 pith:MF6KRQDQ submitted 2014-11-10 gr-qc astro-ph.HEhep-th

Rotating black holes can have short bristles

classification gr-qc astro-ph.HEhep-th
keywords blackscalarhairholesbeyondlinearizedregimerotating
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The elegant `no short hair' theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem beyond the regime of spherically-symmetric static black holes. In particular, we show that rotating black holes can support extremely short-range stationary scalar configurations (linearized scalar `clouds') in their exterior regions. To that end, we solve analytically the Klein-Gordon-Kerr-Newman wave equation for a linearized massive scalar field in the regime of large scalar masses.

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  1. Stationary scalar clouds around a rotating Kalb-Ramond BTZ black hole

    gr-qc 2026-06 unverdicted novelty 4.0

    Stationary scalar clouds exist around rotating KR BTZ black holes at superradiant threshold ω=mΩ_H, with positive KR parameter allowing nonmonotonic existence lines under Robin boundaries.