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Spherically symmetric space-time of class one and electromagnetism

Published online by Cambridge University Press:  24 October 2008

S. N. Pandey  and
I. D Kansal
S. N. Pandey
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee (India)
I. D Kansal
Affiliation:
Department of Mathematics, University of Roorkee, Roorkee (India)
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Abstract

It is well known that a spherically symmetric space-time is, in general, of class two. A necessary and sufficient condition for a spherically symmetric space-time to be of class one has been obtained in terms of the Riemann curvature tensor. By means of a transformation property of s.s. space-time, three distinct cases are shown to exist. The incompatibility of class one spherically symmetric space-times with Rainich algebraic conditions is established in these three cases. It is concluded that spherically symmetric electromagnetic fields cannot be embedded in a flat space of 5-dimensions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 757 - 764
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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