Kalb-Ramond backgrounds in α′-complete cosmology

Abstract

Abstract We study the matter-coupled equations of motion for cosmological NS massless fields including all α′ corrections in an O(d, d) duality invariant approach, with emphasis on the Kalb-Ramond two-form field B(2) and its source. Solutions for the vacuum and matter cases are found and the corresponding Einstein frame cosmologies are discussed. We also show that the ansatz for B(2) required by the duality invariant framework implies that the two-form is non-isotropic.