We study global structures of black hole solutions in Einstein gravity with Gauss-Bonnet term coupled to dilaton in various dimensions. In particular we focus on the problem whether the singularity is weakened due to the Gauss-Bonnet term and dilaton. We find that there appears the non-central singularity between horizon and the center in many cases, where the metric does not...
We study black hole solutions in the Einstein gravity with Gauss-Bonnet term, the dilaton and a positive “cosmological constant” in various dimensions. Physically meaningful black holes with a positive cosmological term are obtained only for those in static spacetime with (D − 2)-dimensional hyperbolic space of negative curvature and D ≥ 5. We construct such black hole solutions...
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. Nontrivial...
We study asymptotically AdS topological black hole solutions with k = 0 (plane symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a “cosmological constant” in various dimensions. We derive the field equations for suitable ansatz for general D dimensions. We determine the parameter regions including dilaton couplings where such solutions exist and construct...
We study spherically symmetric, asymptotically flat black hole solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton, in various dimensions. We derive the field equations for suitable ansatz for general D dimensions and construct black hole solutions of various masses numerically in D = 4, 5, 6 and 10...