A continuous family of asymptotically flat, geometrically regular black holes with hedgehog scalar hair exists in a minimally coupled GR-scalar-three-form theory.
Instability of hairy black holes in shift-symmetric horndeski theories
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abstract
Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic action of odd-parity perturbations. We show that around all the solutions known so far with such time-dependent scalar hair the perturbations trigger instabilities or are presumably strongly coupled.
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gr-qc 2years
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Scalar hair sourced by black holes in de Sitter spacetime grows temporally and spatially on superhorizon scales due to the dynamics of a minimally coupled massless scalar field in expanding spacetime, carrying a steady outward energy flux.
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Geometrically Regular Black Holes with Hedgehog Scalar Hair
A continuous family of asymptotically flat, geometrically regular black holes with hedgehog scalar hair exists in a minimally coupled GR-scalar-three-form theory.
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On cosmological properties of black-hole hair in linearly coupled scalar-Gauss-Bonnet theory
Scalar hair sourced by black holes in de Sitter spacetime grows temporally and spatially on superhorizon scales due to the dynamics of a minimally coupled massless scalar field in expanding spacetime, carrying a steady outward energy flux.