O(D,D) completion of the Einstein field equations

초록

Upon treating the whole closed-string massless NS-NS sector as stringy graviton fields, Double Field Theory may evolve into ‘Stringy Gravity’. In terms of an O(D,D) covariant differential geometry beyond Riemann, we present the definitions of the off-shell conserved stringy Einstein curvature tensor and the on-shell conserved stringy Energy-Momentum tensor. Equating them, all the equations of motion of the massless sector are unified into a single expression, G<inf>AB</inf>= 8πGT<inf>AB</inf>, carrying O(D,D) vector indices, which we dub the Einstein Double Field Equations. © Copyright owned by the author(s) under the terms of the Creative Commons.