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arxiv: 1707.06246 · v1 · pith:TFTZCLDEnew · submitted 2017-07-19 · 🌀 gr-qc · astro-ph.HE· hep-th

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

classification 🌀 gr-qc astro-ph.HEhep-th
keywords hairblackblack-holechargedconfigurationsholeskerr-newmannull
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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.

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