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Solution with Axial Symmetry of Einstein's Equations of Teleparallelism

Published online by Cambridge University Press:  20 January 2009

G. C. McVittie
G. C. McVittie
Affiliation:
Christ's College, Cambridge.
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Einstein has recently adopted a new set of field-equations in his Unified Field-Theory of Gravitation and Electricity, the so-called theory of parallelism at a distance or Teleparallelism, and has given a solution of these equations with spherical symmetry, corresponding to the field of a charged mass-particle. In the present paper we discuss the solution of these equations with axial symmetry, which corresponds to a statical field whose field-variables depend on a single coordinate only, viz. the coordinate which is measured along the axis of symmetry.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 2 , Issue 3 , January 1931 , pp. 140 - 150
Copyright
Copyright © Edinburgh Mathematical Society 1931

References

page 140 note 1 Einstein, A., Berlin Akad. Sitz., 1 (1930), 18.Google Scholar

page 140 note 2 A. Einstein and Mayer, ibid.. 6 (1930), 110.

page 140 note 3 McVittie, G. C., Proc. Roy. Soc. (A), 124 (1929), 366.CrossRefGoogle Scholar

page 141 note 1 Einstein, A., Berlin Akad. Sitzb., 17–19 (1928), 217. It should be observed that we use the summation convention regarding repeated suffixes, whether these are in Latin or Greek type.Google Scholar

page 146 note 1 Berlin Akad. Sitzb., 1 (1930), 18.Google Scholar

page 149 note 1 McVittie, G. C., loc. cit.Google Scholar

page 149 note 2 See Eddington, A. S., “The Math. Theory of Relativity” (1924), Oh. VI, § 77.Google Scholar