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Linear perturbation analysis of hairy black holes in shift-symmetric Horndeski theories: Odd-parity perturbations
Published 3 Oct 2016 in gr-qc and hep-th | (1610.00432v2)
Abstract: 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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