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Assuming O(D, D) covariant fields as the ‘fundamental’ variables, double field theory can accommodate novel geometries where a Riemannian metric cannot be defined, even locally. Here we present a complete classification of such non-Riemannian spacetimes in terms of two non-negative integers, (n, ...


Morand, K.Park, J.-H.[Classification of non-Riemannian doubled-yet-gauged spacetime]Classification of non-Riemannian doubled-yet-gauged spacetime

Connections compatible with degenerate metric structures are known to possess peculiar features: on the one hand, the compatibility conditions involve restrictions on the torsion; on the other hand, torsionfree compatible connections are not unique, the arbitrariness being encoded in a tensor fie...


Bekaert, X.Morand, K.[Connections and dynamical trajectories in generalised Newton-Cartan gravity. II. An ambient perspective]Connections and dynamical trajectories in generalised Newton-Cartan gravity. II. An ambient perspective

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