Linear Stability of Dilatonic Black Holes

Details Linear Stability of Dilatonic Black Holes Linear Stability of Dilatonic Black Holes

1998-04-30

arxiv.org/abs/hep-th/9804203v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 11 pages, 3 postscript figures included, Talk presented at the "International Workshop on Recent Developments in High

Scientific paper

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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