Universal instability of hairy black holes in Lovelock-Galileon theories in D dimensions

Abstract

We analyze spherically symmetric black hole solutions with time-dependent scalar hair in a class of Lovelock-Galileon theories, which are the scalar-tensor theories with second-order field equations in arbitrary dimensions. We first show that known black hole solutions in five dimensions are always plagued by the ghost/gradient instability in the vicinity of the horizon. We then generalize such black hole solutions to higher dimensions and show that the same instability found in five dimensions appears universally in any number of dimensions.

14 pages; matches published version

References in corpus (3)

• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Black holes with non-minimal derivative coupling
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario

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