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arxiv: 1610.00432 · v2 · submitted 2016-10-03 · 🌀 gr-qc · hep-th

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Linear perturbation analysis of hairy black holes in shift-symmetric Horndeski theories: Odd-parity perturbations

Kazufumi Takahashi , Teruaki Suyama
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classification 🌀 gr-qc hep-th
keywords blackodd-parityperturbationstheoriesanalysisholeshorndeskilinear
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We analyze the mode stability of odd-parity perturbations of black holes with linearly time-dependent scalar hair in shift-symmetric Horndeski theories. We show that a large class of black hole solutions in these theories suffer from ghost or gradient instability, while there are some classes of solutions that are stable under linear odd-parity perturbations in the context of mode analysis.

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