Space time manifolds and contact structures

K. L. Duggal

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-9

Abstract:

A new class of contact manifolds (carring a global non-vanishing timelike vector field) is introduced to establish a relation between spacetime manifolds and contact structures. We show that odd dimensional strongly causal (in particular, globally hyperbolic) spacetimes can carry a regular contact structure. As examples, we present a causal spacetime with a non regular contact structure and a physical model [Gödel Universe] of Homogeneous contact manifold. Finally, we construct a model of 4-dimensional spacetime of general relativity as a contact CR-submanifold.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:894676

DOI: 10.1155/S0161171290000783

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