Construct \u03b1\u2032 corrected or loop corrected solutions without curvature singularities

Abstract

For the bosonic gravi-dilaton system, we provide systematical approaches to construct non-perturbative string cosmological solutions without curvature singularities, which can match the perturbative solution to any order in α′ expansion. When higher order α′ corrections are calculated, they can be straightforwardly plugged in to generate compatible non-perturbative evolutions without curvature singularities. We also give a (phenomenological) map between α′ corrected EOM and loop corrected EOM. This map enables us to easily generate a loop corrected solution from an α′ corrected solution, and vice versa, therefore substantially enlarges the solution space.