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arXiv · 1904.04705

$\mathbf{O}(D,D)$ completion of the Einstein Field Equations

Jeong-Hyuck Park
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Abstract

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 $\mathbf{O}(D,D)$ 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, $G_{AB}{=8πG} T_{AB}$, carrying $\mathbf{O}(D,D)$ vector indices, which we dub `the Einstein Double Field Equations'.

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Jeong-Hyuck Park. 2019-04-09. $\mathbf{O}(D,D)$ completion of the Einstein Field Equations. https://doi.org/10.22323/1.347.0145

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