String-corrected dilatonic black holes in d dimensions

TL;DR

This paper derives black hole solutions with dilaton fields and curvature corrections in arbitrary dimensions within string theory, analyzing their thermodynamic properties.

Contribution

It provides new spherically symmetric black hole solutions with dilatonic charge and curvature-squared corrections in arbitrary dimensions in string theory.

Findings

Derived explicit black hole solutions with dilaton and curvature corrections

Calculated thermodynamic quantities such as entropy and temperature

Analyzed stability via specific heat and mass

Abstract

We solve the dilaton field equation in the background of a spherically symmetric black hole in bosonic or heterotic string theory with curvature-squared corrections in arbitrary d spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with dilatonic charge and curvature-squared corrections in bosonic or heterotic string theory compactified on a torus. For this black hole we obtain its free energy, entropy, temperature, specific heat and mass.