Godbillon-Vey invariants of Non-Lorentzian spacetimes and Aristotelian hydrodynamics
Godbillon-Vey invariants of Non-Lorentzian spacetimes and Aristotelian hydrodynamics
Abstract We study the geometry of foliated non-Lorentzian spacetimes in terms of the Godbillon-Vey class of the foliation. We relate the intrinsic torsion of a foliated Aristotelian manifold to its Godbillon-Vey class, and interpret it as a measure of the local spin of the spatial leaves in the time direction. …