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arxiv: hep-th/9703192 · v1 · submitted 1997-03-26 · ✦ hep-th · gr-qc

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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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classification ✦ hep-th gr-qc
keywords blackdilatonicgravityholeholeslinearstabilityaccompanied
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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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