Hostname: page-component-77c89778f8-rkxrd Total loading time: 0 Render date: 2024-07-18T06:39:05.498Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Brahmachary, R. L., Progr. Theoret. Phys. 23 (1960), 749.CrossRefGoogle Scholar
(2)Bergmann, O. and Leipnik, R., Phys. Rev. 107 (1957), 1157.CrossRefGoogle Scholar
(3)Buchdahl, H., Phys. Rev. 115 (1959), 1325.CrossRefGoogle Scholar
(4)Corson, E. M., Introduction to tensors, spinors and relativistic wave equations (Blackie; London and Glasgow, 1953).Google Scholar
(5)Tolman, R. C., Relativity, thermodynamics and cosmology (Oxford, 1949).Google Scholar