A new spin on black hole hair

Abstract

We show that scalar hair can be added to rotating, vacuum black holes of general relativity. These hairy black holes (HBHs) clarify a lingering question concerning gravitational solitons: if a black hole can be added at the centre of a boson star, as it typically can for other solitons. We argue that it can, but only if it is spinning. The existence of such HBHs is related to the Kerr superradiant instability triggered by a massive scalar field. This connection leads to the following conjecture: a (hairless) black hole which is afflicted by the superradiant instability of a given field must allow hairy generalizations with that field.

arXiv comment9 pages, 1 figure, Essay written for the Gravity Research Foundation 2014 Awards for Essays on Gravitation and selected for Honorable Mention

References in corpus (7)

• Black Strings and p-Branes are Unstable
• Kerr black holes with scalar hair
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Stationary Scalar Clouds Around Rotating Black Holes
• Black holes with only one Killing field
• Hairy Black Holes, Horizon Mass and Solitons
• Gravitating Solitons and Hairy Black Holes

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