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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Bibliographic Details
Main Author: G. P. Pokhariyal
Format: Article
Language:English
Published: Wiley 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000131
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Summary: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.
ISSN:0161-1712
1687-0425