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arXiv · hep-th/9703192

Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability

P. Kanti·N. E. Mavromatos·J. Rizos·K. Tamvakis·E. Winstanley
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Abstract

We demonstrate linear stability of the dilatonic Black Holes appearing in a string-inspired higher-derivative gravity theory with a Gauss- Bonnet curvature-squared term. The proof is accomplished by mapping the system to a one-dimensional Schrodinger problem which admits no bound states. This result is important in that it constitutes a linearly stable example of a black hole that bypasses the `no-hair conjecture'. However, the dilaton hair is `secondary'in the sense that it is not accompanied by any new quantum number for the black hole solution.

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P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, E. Winstanley. 1997-03-26. Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability. https://doi.org/10.1103/physrevd.57.6255

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