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.

7 pages

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Cited by in corpus (10)

• Onset of spontaneous scalarization in spinning Gauss-Bonnet black holes
• Black hole scalarisation from the breakdown of scale-invariance
• Spontaneous scalarization of Gauss-Bonnet black holes: Analytic treatment in the linearized regime
• Reissner-Nordström black holes supporting non-minimally coupled massive scalar field configurations
• Gauss-Bonnet black holes supporting massive scalar field configurations: The large-mass regime
• Spontaneous scalarization of Gauss-Bonnet black holes surrounded by massive scalar fields
• Infinitesimally thin static scalar shells surrounding charged Gauss-Bonnet black holes
• Charged Gauss-Bonnet black holes supporting non-minimally coupled scalar clouds: Analytic treatment in the near-critical regime
• Charged reflecting shells supporting non-minimally coupled massless scalar field configurations
• Non-equatorial scalar rings supported by magnetized Schwarzschild-Melvin black holes