Enhanced instability of de Sitter space in Einstein-Gauss-Bonnet gravity

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Abstract

We show that the addition of a topological Gauss-Bonnet term to the gravitational action can greatly increase the instability of four-dimensional de Sitter space by favoring the nucleation of black holes. The pair-production rate given by the Euclidean action for the instanton takes the form exp(ΔS) where S is the entropy in Einstein-Gauss-Bonnet theory. The coefficient of the Gauss-Bonnet term in the action sets a stability bound on the curvature of empty de Sitter space. For that coefficient in the low-energy effective action of heterotic string theory, the maximal curvature of de Sitter space is, in general, much lower than the Planck scale.

Original languageEnglish (US)
Article number044048
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number4
DOIs
StatePublished - Aug 18 2011

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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