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Instability of hairy black holes in shift-symmetric Horndeski theories · Around

2015

Instability of hairy black holes in shift-symmetric Horndeski theories

Ogawa, Hiromu, Kobayashi, Tsutomu, Suyama, Teruaki

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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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