Rotating black holes can have short bristles
arXiv:1411.2609 · doi:10.1016/j.physletb.2014.10.062
Abstract
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.
13 pages
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- Kerr-Newman black holes with scalar hair
- Hairy Black Holes: Non-existence of Short Hairs and Bound on Light Ring Size
- Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell
- Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime
- Analytic treatment of the system of a Kerr-Newman black hole and a charged massive scalar field
- No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
- No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes
- Stationary scalar clouds around a BTZ black hole
- Scalar clouds in charged stringy black hole-mirror system
- No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
- No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
- Ultra-spinning exotic compact objects supporting static massless scalar field configurations
- No-go theorem for static boson stars
- The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror
- Can Rotating Black Holes Have Short Hairs?
- Stationary scalar clouds supported by rapidly-rotating acoustic black holes in a photon-fluid model
- No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model
- No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields
- How short can stationary charged scalar hair be?
- Scalar Clouds and Quasinormal Modes