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A static spherically symmetric solution of the Einstein—Maxwell—Yukawa field equations

Published online by Cambridge University Press:  24 October 2008

G. Stephenson
G. Stephenson
Affiliation:
Department of MathematicsImperial CollegeLondon, S.W. 7
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Extract

The general relativistic field equations for regions of space containing electromagnetic fields but no matter are

,

where

,

and κ = 8ΠG/c4 is the gravitational constant. Here giκ is the metric tensor and Fiκ is the electromagnetic field tensor which satisfies Maxwell's equations if

and

,

where Ai is the electromagnetic four-potential.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 521 - 526
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

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