Extremal Kerr-Newman black holes with extremely short charged scalar hair

Abstract

The recently proved `no short hair' theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesic (the "photonsphere") of the corresponding black-hole spacetime: $r_{\text{field}}>r_{\text{null}}$. In this paper we provide compelling evidence that the bound can be {\it violated} by {\it non}-spherically symmetric hairy black-hole configurations. To that end, we analytically explore the physical properties of cloudy Kerr-Newman black-hole spacetimes -- charged rotating black holes which support linearized stationary charged scalar configurations in their exterior regions.

11 pages

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Cited by in corpus (30)

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• No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
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• Stationary scalar clouds around a BTZ black hole
• The extreme orbital period in scalar hairy kerr black holes
• No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields
• Chains of Boson Stars
• Compact objects with primary hair in shift and parity symmetric beyond Horndeski gravities
• Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations
• Ultra-spinning exotic compact objects supporting static massless scalar field configurations
• No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• On the (non) existence of superregular boson clouds around extremal Kerr black holes and its connection with number theory
• Upper bound on the gravitational masses of stable spatially regular charged compact objects
• No-go theorem for static boson stars
• The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• 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
• High precision numerical sequences of rotating hairy black holes
• Relaxation rate of RNdS black hole
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• 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
• On instabilities of stationary scalar field configurations supported by reflecting compact stars
• Regular scalar charged clouds around a Reissner-Nordstrom black hole and no-hair theorems