Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --

Abstract

We study black hole solutions in the Einstein-Gauss-Bonnet gravity with the dilaton and a negative ``cosmological constant''. We derive the field equations for the static spherically symmetric ($k=1$) and hyperbolically symmetric ($k=-1$) spacetime in general $D$ dimensions. The system has some scaling symmetries which are used in our analysis of the solutions. We find exact solutions, i.e., regular AdS solution for $k=1$ and a massless black hole solution for $k=-1$. Nontrivial asymptotically AdS solutions are obtained numerically in D=4 -- 6 and 10 dimensional spacetimes. For spherically symmetric solutions, there is the minimum horizon radius below which no solution exists in D=4 -- 6. However in D=10, there is not such lower bound but the solution continues to exist to zero horizon size. For hyperbolically symmetric solution, there is the minimum horizon radius in all dimensions. Our solution can be used for investigations of the boundary theory through AdS/CFT correspondence.

arXiv comment25 pages, 16 figures

References in corpus (18)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Gauss-Bonnet Black Holes in AdS Spaces
• Dilatonic Black Holes in Higher Curvature String Gravity
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• The Lovelock Black Holes
• Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
• Black Holes in Pure Lovelock Gravities
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Charged Dilaton Black Holes with a Cosmological Constant
• Dilaton spacetimes with a Liouville potential
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Extremal black holes in D=4 Gauss-Bonnet gravity
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions II -- Asymptotically AdS Topological Black Holes --
• Evaporation and Fate of Dilatonic Black Holes
• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity

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