Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology

Abstract

We study the matter-coupled equations of motion for cosmological NS massless fields including all ${\alpha }^{\prime }$ 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 case 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.

24 pages

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• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities
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Cited by in corpus (6)

• From the string vacuum to FLRW or de Sitter via ${\alpha }^{\prime }$ corrections
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• Non-linear stability of ${\alpha }^{\prime }$-corrected Friedmann equations
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Black hole solutions in double field theory