Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --

TL;DR

This paper investigates spherically symmetric, asymptotically flat black hole solutions in heterotic string theory with Gauss-Bonnet and dilaton fields across multiple dimensions, highlighting the dilaton's impact on black hole properties.

Contribution

It provides numerical solutions for black holes in various dimensions within the Einstein-Gauss-Bonnet-dilaton framework and compares them to non-dilatonic cases, analyzing thermodynamics and physical implications.

Findings

Dilaton significantly alters black hole solutions.

Numerical solutions obtained in 4, 5, 6, and 10 dimensions.

Thermodynamic properties of the solutions are characterized.

Abstract

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 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 effects on the black hole solutions, and we discuss physical consequences.