International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 1, Pages 133-139
doi:10.1155/S0161171282000131
Relativistic segnificance of curvature tensors
Department of Mathematics, University of Nairobi, Kenya
Received 6 February 1979; Revised 7 November 1979
Copyright © 1982 G. P. Pokhariyal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.