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arXiv · hep-th/9804203

Linear Stability of Dilatonic Black Holes

Panagiota Kanti
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Abstract

In this talk, we recall the most important features of the Dilatonic Black Holes which arise in the framework of the Einstein-Dilaton-Gauss-Bonnet theory and which are dressed with a classical long range dilaton field in contradiction with the existing "no-hair" theorems of the Theory of General Relativity. We demonstrate linear stability of these black hole solutions under small spacetime-dependent perturbations by making use of a semi-analytic method based on the Fubini-Sturm's theorem. As a result, the Dilatonic Black Holes constitute one of the very few examples of stable black hole solutions with non-trivial "hair" that arise in the framework of a more generalised theory of gravity.

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Panagiota Kanti. 1998-04-30. Linear Stability of Dilatonic Black Holes. https://arxiv.org/abs/hep-th/9804203

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