AdS black hole solutions in dilatonic Einstein-Gauss-Bonnet gravity

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.044051· OSTI ID:21505008

Maeda, Kei-ichi ^[1]; Ohta, Nobuyoshi ^[2]; Sasagawa, Yukinori ^[1]

---

1. Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555 (Japan)
2. Department of Physics, Kinki University, Higashi-Osaka, Osaka 577-8502 (Japan)

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.

• OSTI ID: 21505008
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.044051; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BLACK HOLES
CORRECTIONS
COSMOLOGICAL CONSTANT
COUPLING CONSTANTS
EXACT SOLUTIONS
GRAVITATION
SIMULATION
SPACE-TIME
STRING MODELS
STRING THEORY
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
M-THEORY
PARTICLE MODELS
QUARK MODEL
SPACE