Resolving naked singularities in $\alpha^{\prime}$-corrected string theory

Abstract

Low energy effective action of bosonic string theory possesses a kind of singular static solution which can be interpreted as a naked singularity. Based on the Hohm-Zwiebach action, the naked singularities could be smoothed out by introducing the complete $\alpha^{\prime}$ corrections of string theory. In this paper, we present two sets of non-singular solutions, which are also regular everywhere in the Einstein frame. In the perturbative region $\alpha^{\prime}\to0$, the solutions reduce to the perturbative results. Our result provides extra evidence for weak cosmic censorship conjecture (WCCC) from a viewpoint of string theory.