Space time manifolds and contact structures
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 s...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000783 |
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| _version_ | 1832549839809806336 |
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| author | K. L. Duggal |
| author_facet | K. L. Duggal |
| author_sort | K. L. Duggal |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-14f6bfc8da3942b9b1b790bfef24c479 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-14f6bfc8da3942b9b1b790bfef24c4792025-02-03T06:08:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113354555310.1155/S0161171290000783Space time manifolds and contact structuresK. L. Duggal0Department of Mathematics and Statistics, University of Windsor, Ontario, Windsor N9B 3P4, CanadaA 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.http://dx.doi.org/10.1155/S0161171290000783contact manifoldglobal timelike vector fieldspacetime manifoldLorentzian geometrysubmanifold. |
| spellingShingle | K. L. Duggal Space time manifolds and contact structures International Journal of Mathematics and Mathematical Sciences contact manifold global timelike vector field spacetime manifold Lorentzian geometry submanifold. |
| title | Space time manifolds and contact structures |
| title_full | Space time manifolds and contact structures |
| title_fullStr | Space time manifolds and contact structures |
| title_full_unstemmed | Space time manifolds and contact structures |
| title_short | Space time manifolds and contact structures |
| title_sort | space time manifolds and contact structures |
| topic | contact manifold global timelike vector field spacetime manifold Lorentzian geometry submanifold. |
| url | http://dx.doi.org/10.1155/S0161171290000783 |
| work_keys_str_mv | AT klduggal spacetimemanifoldsandcontactstructures |