Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions

Abstract

In this paper, we present two non-perturbative string cosmological solutions without curvature singularities for the bosonic gravi-dilaton system. These solutions are general in the sense that they can straightforwardly match the perturbative solution to arbitrarily high orders in the perturbative region. The first solution includes non-perturbative ${\alpha }^{\prime }$ corrections based on Hohm-Zwiebach action. We then use the simple phenomenological map between ${\alpha }^{\prime }$ corrected theory and loop corrected theory in string cosmology to construct a non-perturbative loop corrected non-singular solution. Both solutions are non-singular everywhere. Therefore, the pre- and post-big-bangs are smoothly connected by these solutions.

arXiv comment7 pages

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Cited by in corpus (1)

• From the string vacuum to FLRW or de Sitter via ${\alpha }^{\prime }$ corrections