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 which quantifies the strength of coupling between the scalar field and the spacetime curvature.
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