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arXiv · 1307.2194

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

Andres Anabalon·Nathalie Deruelle
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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.

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Andres Anabalon, Nathalie Deruelle. 2013-07-10. On the mechanical stability of asymptotically flat black holes with minimally coupled scalar hair. https://doi.org/10.1103/physrevd.88.064011

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