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Dressing a black hole with non-minimally coupled scalar field hair
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We investigate the possibility of dressing a four-dimensional black hole with classical scalar field hair which is non-minimally coupled to the space-time curvature. Our model includes a cosmological constant but no self-interaction potential for the scalar field. We are able to rule out black hole hair except when the cosmological constant is negative and the constant governing the coupling to the Ricci scalar curvature is positive. In this case, non-trivial hairy black hole solutions exist, at least some of which are linearly stable. However, when the coupling constant becomes too large, the black hole hair becomes unstable.
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Cited by 1 Pith paper
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The Image of Scalar Hairy Black Holes with Asymmetric Potential
The optical appearance of a scalar hairy black hole with asymmetric potential is computed, and its shadow size is used to constrain the potential parameters with EHT observations.
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