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Einstein–Maxwell fields with plane symmetry. I

Published online by Cambridge University Press:  24 October 2008

S. Patnaik
Affiliation:
Department of Mathematics, Université de Montréal, Montreal, Canada†

Extract

An exact static solution of the system of Einstein–Maxwell field equations in the absence of charge is obtained when both the metric tensor gαβ and the Maxwell field tensor Fαβ exhibits plane symmetry in the sense that both remain invariant under the group of motions that characterize plane symmetry. Our solution generalizes the empty space-time solution with plane symmetry previously obtained by Taub to the situation when static charge-free electromagnetic fields are present. We hope to discuss non-static solutions of Einstein–Maxwell fields with plane symmetry as well as some other considerations in a subsequent paper.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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