space time manifolds and contact structures
Clicks: 52
ID: 244054
1990
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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.
| Reference Key |
duggal1990internationalspace
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|---|---|
| Authors | ;K. L. Duggal |
| Journal | structural engineering and mechanics |
| Year | 1990 |
| DOI |
10.1155/S0161171290000783
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| URL | |
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