Non-singular string cosmology via $\alpha^{\prime}$ corrections

TL;DR

This paper demonstrates that higher derivative $$ corrections in string theory can resolve the big-bang singularity, providing non-singular cosmological solutions that extend previous perturbative results.

Contribution

The authors construct non-perturbative, non-singular cosmological solutions incorporating complete $$ corrections using the Hohm-Zwiebach formula, advancing understanding of singularity resolution in string cosmology.

Findings

Big-bang singularity is smoothed out by $$ corrections.

Constructed solutions match perturbative results in the appropriate regime.

Provides a non-perturbative framework for string cosmology.

Abstract

In string theory, an important challenge is to show if the big-bang singularity could be resolved by the higher derivative $\alpha'$ corrections. In this work, based on the Hohm-Zwiebach formula, we construct a series of non-singular non-perturbative cosmological solutions with the complete $\alpha^{\prime}$ corrections, for the bosonic gravi-dilaton system. In the perturbative regime, these solutions exactly match the perturbative results given in literature. Our results show that the big-bang singularity indeed could be smoothed out by the higher derivative $\alpha'$ corrections.