AdS black hole solutions in dilatonic einstein-gauss-bonnet gravity

Kei Ichi Maeda, Nobuyoshi Ohta, Yukinori Sasagawa

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We find that anti-de Sitter (AdS) spacetime with a nontrivial linear dilaton field is an exact solution in the effective action of the string theory, which is described by gravity with the Gauss-Bonnet curvature terms coupled to a dilaton field in the string frame without a cosmological constant. The AdS radius is determined by the spacetime dimensions and the coupling constants of curvature corrections. We also construct the asymptotically AdS black hole solutions with a linear dilaton field numerically. We find these AdS black holes for hyperbolic topology and in dimensions higher than four. We discuss the thermodynamical properties of those solutions. Extending the model to the case with the even-order higher Lovelock curvature terms, we also find the exact AdS spacetime with a nontrivial dilaton. We further find a cosmological solution with a bounce of three-dimensional space and a solitonic solution with a nontrivial dilaton field, which is regular everywhere and approaches an asymptotically AdS spacetime.

Original languageEnglish
Article number044051
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume83
Issue number4
DOIs
Publication statusPublished - 2011 Feb 28

ASJC Scopus subject areas

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

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