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Impossibility of class one electromagnetic fields

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 Rorkee, Rorkee (U.P.), India
I. D. Kansal
Affiliation:
Department of Mathematics, University of Rorkee, Rorkee (U.P.), India
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Extract

In a recent paper (1) it has been established that a spherically symmetric space-time of class one cannot describe an electromagnetic distribution of energy. In this investigation the inconsistency of class one conditions with Rainich algebraic conditions was shown in case of spherical symmetry. In the present paper it is shown that the result is true for space-time of class one, in general.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 153 - 154
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Pandey, S. N. and Kansal, I. D.Spherically symmetric space-time of class one and electromagnetism. Proc. Cambridge Philos. Soc. 64 (1968), 757–764.CrossRefGoogle Scholar
(2)Thomas, T. Y.Riemannian spaces of class one and their characterization. Acta Math. 67 (1936), 169–211.CrossRefGoogle Scholar
(3)Eisenrart, L. P.Riemannian geometry, p. 200 (Princeton, 1960).Google Scholar
(4)Alder, R., Bazin, M. and Schiffer, M.Introduction to general relativity, p. 439 (McGraw Hill, 1965).Google Scholar