paper

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

arXiv:1610.00432 · doi:10.1103/PhysRevD.95.024034

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.

9 pages; matches published version

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