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Instability of hairy black holes in shift-symmetric Horndeski theories
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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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Cited by 2 Pith papers
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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 stead...
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