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

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

1997-03-26

arxiv.org/abs/hep-th/9703192v1

Phys.Rev. D57 (1998) 6255-6264

Physics

High Energy Physics

High Energy Physics - Theory

25 pages LaTeX file, 5 LaTeX figures (included)

Scientific paper

10.1103/PhysRevD.57.6255

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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