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

Abstract

In string theory, an important challenge is to show if the big-bang singularity could be resolved by the higher derivative ${\alpha }^{\prime }$ 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 ${\alpha }^{\prime }$ corrections.

V2: 12 pages, 6 figures, references added, V3: typos corrected in equations (3.21) and (3.22), references added, version to appear in JHEP

References in corpus (2)

• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Towards a Stringy Resolution of the Cosmological Singularity

Cited by in corpus (1)

• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities