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Linear stability of black holes with static scalar hair in full Horndeski theories: Generic instabilities and surviving models
In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field $\ensuremath{\phi}$ whose kinetic term $X$ is nonvanishing on the BH horizon are generically prone to ghost/Laplacian instabilities. We then search for asymptotically Minkowski hairy BH solutions with a vanishing …