Dilatonic black holes in superstring gravity

Abstract

We solve the dilaton field equation in the background of a spherically symmetric black hole in type II superstring theory with ${\alpha }^{\prime 3}$ corrections in arbitrary $d$ spacetime dimensions. We then apply this result to obtain a spherically symmetric black hole solution with ${\alpha }^{\prime 3}$ corrections in superstring theory compactified on a torus, coupled to such dilaton. For this black hole we obtain its mass, entropy, temperature, specific heat, and free energy.

V2: some small changes in the presentation; references and discussion added; results unchanged. Published version. arXiv admin note: text overlap with arXiv:0912.3051

References in corpus (4)

• Extreme neutron stars from Extended Theories of Gravity
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• String-corrected dilatonic black holes in d dimensions
• Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory

Cited by in corpus (3)

• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Revisiting $R^4$ higher curvature corrections to black holes
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity