No hair for spherically symmetric neutral black holes: nonminimally coupled massive scalar fields

Abstract

It is proved that spherically symmetric asymptotically flat neutral black holes cannot support spatially regular static configurations made of massive scalar fields with non-minimal coupling to gravity. Interestingly, our compact no-hair theorem is valid for generic values of the dimensionless physical parameter $\xi$ which quantifies the strength of coupling between the scalar field and the spacetime curvature.

arXiv comment7 pages

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Cited by in corpus (16)

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• Black hole scalarisation from the breakdown of scale-invariance
• Spontaneous scalarization of Gauss-Bonnet black holes: Analytic treatment in the linearized regime
• Scalarization of horizonless reflecting stars: neutral scalar fields non-minimally coupled to Maxwell fields
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• Spinning boson stars and hairy black holes with non-minimal coupling
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• Non-equatorial scalar rings supported by magnetized Schwarzschild-Melvin black holes
• On instabilities of stationary scalar field configurations supported by reflecting compact stars