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Dilatonic black holes in higher curvature string gravity. II. Linear stability

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN: 1550-2368, Vol: 57, Issue: 10, Page: 6255-6264
1998
  • 141
    Citations
  • 0
    Usage
  • 8
    Captures
  • 0
    Mentions
  • 0
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    141
    • Citation Indexes
      141
  • Captures
    8

Article Description

We demonstrate the linear stability of 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 Schrödinger 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, dilaton hair is secondary in the sense that it is not accompanied by any new quantum number for the black hole solution. © 1998 The American Physical Society.

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