Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory inVarious Dimensions I– Asymptotically Flat Black Holes – postprint

Abstract: We study spherically symmetric, asymptotically flat black hole solutions in the low-energy e ective 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 dimensional spacetime with (D − 2)-dimensional hypersurface with positive constant curvature. A detailed comparison with the non-dilatonic solutions is made. We also examine the thermodynamic properties of the solutions. It is found that the dilaton has significant e ects on the black hole solutions, and we discuss physical consequences.