Two-dimensional regular string black hole in different gauges

TL;DR

This paper explores non-singular black hole solutions in string theory, showing they are gauge-dependent but free of additional singularities, and the event horizon remains stable under stringy corrections.

Contribution

It demonstrates the gauge transformation properties of regular black hole solutions and confirms the stability of the event horizon under complete ' corrections.

Findings

Regular black hole solutions are mutually transformable across gauges.

' corrections do not add singularities beyond the event horizon.

The event horizon remains unaffected by ' corrections.

Abstract

This paper serves as an extended version of our previous letter arXiv:2212.03808 [hep-th]. In this paper, we investigate the non-perturbative and non-singular black hole solutions derived from complete $\alpha^{\prime}$ corrected Hohm-Zwiebach action in different gauges (coordinate systems). In addition to the results that we obtained in the previous letter, we present the following additional results in this paper: 1) The regular black hole solutions in different gauges can be mutually transformed. 2) The $\alpha^{\prime}$ corrections do not introduce any extra singularities beyond the event horizon. 3) The event horizon remains unaffected by the $\alpha^{\prime}$ corrections. The results of this paper provide valuable illustrations for further investigation of more complicated regular black hole solutions utilizing the complete $\alpha^{\prime}$ in the near future.