Black Hole Solutions in String Theory with Gauss-Bonnet Curvature Correction

TL;DR

This paper explores black hole solutions in superstring theory incorporating Gauss-Bonnet curvature corrections, revealing new stability features, a mass gap, and temperature behaviors not seen in simplified models.

Contribution

It introduces black hole solutions within superstring effective field theory with Gauss-Bonnet corrections, highlighting qualitative differences from truncated models.

Findings

Existence of a turning point in mass-area, mass-entropy, and mass-temperature curves in higher dimensions.

Discovery of a mass gap where no black hole solutions exist.

Maximum black hole temperature and vanishing temperature at minimum mass in five dimensions.

Abstract

We present the black hole solutions and analyse their properties in the superstring effective field theory with the Gauss-Bonnet curvature correction terms. We find qualitative differences in our results from those obtained in the truncated model in the Einstein frame. The main difference in our model from the truncated one is that the existence of a turning point in the mass-area curve, the mass-entropy curve, and the mass-temperature curve in five and higher dimensions, where we expect a change of stability. We also find a mass gap in our model, where there is no black hole solution. In five dimensions, there exists a maximum black hole temperature and the temperature vanishes at the minimum mass, which is not found in the truncated model.