Connections and dynamical trajectories in generalised Newton-Cartan gravity II. An ambient perspective

30 Nov 2018 Bekaert Xavier Morand Kevin

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 field whose type depends on the metric structure. Nonrelativistic structures typically fall under this scheme, the paradigmatic example being a contravariant degenerate metric whose kernel is spanned by a one-form... (read more)

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  • HIGH ENERGY PHYSICS - THEORY
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS