Relativistic segnificance of curvature tensors
In thi paper new curvature tensors have been defined on the lines of Weyl's projective curvature tensor and it has been shown that the distribution (order in which the vectors in question are arranged before being acted upon by the tensor in question) of vector field over the metric potentials...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000131 |
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| _version_ | 1850215639733501952 |
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| author | G. P. Pokhariyal |
| author_facet | G. P. Pokhariyal |
| author_sort | G. P. Pokhariyal |
| collection | DOAJ |
| description | In thi paper new curvature tensors have been defined on the lines of Weyl's projective curvature tensor and it has been shown that the distribution (order in which the vectors in question are arranged before being acted upon by the tensor in question) of vector field over the metric potentials and matter tensors plays an important role in shaping the various physical and geometrical properties of a tensor viz the formulation of gravitational waves, reduction of electromagnetic field to a purely electric field, vanishing of the contracted tensor in an Einstein Space and the cyclic property. |
| format | Article |
| id | doaj-art-86c5c4fecb584f088194b68a070de109 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-86c5c4fecb584f088194b68a070de1092025-08-20T02:08:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015113313910.1155/S0161171282000131Relativistic segnificance of curvature tensorsG. P. Pokhariyal0Department of Mathematics, University of Nairobi, KenyaIn thi paper new curvature tensors have been defined on the lines of Weyl's projective curvature tensor and it has been shown that the distribution (order in which the vectors in question are arranged before being acted upon by the tensor in question) of vector field over the metric potentials and matter tensors plays an important role in shaping the various physical and geometrical properties of a tensor viz the formulation of gravitational waves, reduction of electromagnetic field to a purely electric field, vanishing of the contracted tensor in an Einstein Space and the cyclic property.http://dx.doi.org/10.1155/S0161171282000131gravitational waveselectromagnetic fieldEinstein spacecyclic propertyWeyl's projective curvature tensor. |
| spellingShingle | G. P. Pokhariyal Relativistic segnificance of curvature tensors International Journal of Mathematics and Mathematical Sciences gravitational waves electromagnetic field Einstein space cyclic property Weyl's projective curvature tensor. |
| title | Relativistic segnificance of curvature tensors |
| title_full | Relativistic segnificance of curvature tensors |
| title_fullStr | Relativistic segnificance of curvature tensors |
| title_full_unstemmed | Relativistic segnificance of curvature tensors |
| title_short | Relativistic segnificance of curvature tensors |
| title_sort | relativistic segnificance of curvature tensors |
| topic | gravitational waves electromagnetic field Einstein space cyclic property Weyl's projective curvature tensor. |
| url | http://dx.doi.org/10.1155/S0161171282000131 |
| work_keys_str_mv | AT gppokhariyal relativisticsegnificanceofcurvaturetensors |