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Spherical electro-vacuum black holes with resonant, scalar Q-hair
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Journal Article
Spherical electro-vacuum black holes with resonant, scalar Q-hair
2020
Overview
The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a
Q
-ball type potential for the scalar field, we dub these configurations
Q
-
clouds
, in the test field approximation. The clouds exist under a
resonance condition
, at the threshold of (charged) superradiance. This is similar to the stationary clouds supported by Kerr BHs, which exist for a
synchronisation condition
, at the threshold of (rotational) superradiance. In contrast with the rotating case, however,
Q
-clouds require the scalar field to be massive
and
self-interacting; no similar clouds exist for massive but free scalar fields. First, considering a decoupling limit, we construct
Q
-clouds around Schwarzschild and Reissner–Nordström BHs, showing there is always a mass gap. Then, we make the
Q
-clouds backreact, and construct fully non-linear solutions of the Einstein–Maxwell-gauged scalar system describing spherical, charged BHs with resonant, scalar
Q
-
hair
. Amongst other properties, we observe there is non-uniqueness of charged BHs in this model and the
Q
-hairy BHs can be entropically preferred over Reissner–Nordström, for the same charge to mass ratio; some
Q
-hairy BH solutions can be overcharged. We also discuss how some well known no-hair theorems in the literature, applying to electro-vacuum plus minimally coupled scalar fields, are circumvented by this new type of BHs.
Publisher
Springer Berlin Heidelberg,Springer,Springer Nature B.V,SpringerOpen
Subject
