On the mechanical stability of asymptotically flat black holes with minimally coupled scalar hair

Abstract

We show that the asymptotically flat hairy black holes, solutions of the Einstein field equations minimally coupled to a scalar field, previously discovered by one of us, present mode instability against linear radial perturbations. It is also shown that the number of unstable modes is finite and their frequencies can be made arbitrarily small.

11 pages, 6 figures, one reference fixed

References in corpus (3)

• Instabilities of wormholes and regular black holes supported by a phantom scalar field
• Exact Black Holes and Universality in the Backreaction of non-linear Sigma Models with a potential in (A)dS4
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Cited by in corpus (8)

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• Asymptotically flat black holes sourced by a massless scalar field
• Asymptotically flat black holes with scalar hair: a review
• Hairy black holes: stability under odd-parity perturbations and existence of slowly rotating solutions
• Hairy Black Hole Stability in AdS, Quantum Mechanics on the Half-Line and Holography
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case
• Exact black-hole formation with a conformally coupled scalar field in three dimensions