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Solution with Axial Symmetry of Einstein's Equations of Teleparallelism

Published online by Cambridge University Press:  20 January 2009

J. D. Parsons
J. D. Parsons
Affiliation:
Trinity College, Dublin.
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In a recent paper Dr G. C. McVittie discussed the solution with axial symmetry of Einstein's new field-equations in his Unified Field Theory of Gravitation and Electricity. Owing to an error in his calculation of the field equations, Dr McVittie did not obtain the general solution, which we discuss in the present paper.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 1 , March 1932 , pp. 37 - 45
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

page 37 note 1 Mc Vittie, G. C, Proc. Edin. Math. Soc., (2) 2 (1930), 140.CrossRefGoogle Scholar

page 37 note 2 Einstein, A., Berlin Akad. Sitz., 1 (1930) 18.Google Scholar

page 37 note 3 The summation convention applies to all indices which appear twice, except in formulae containing the coefficients e 3. If e 3 appears, a summation is to be understood only if the index s appears three times ; thus is not to be summed, but is.

page 38 note 1 For a fuller discussion of rotation invariance etc., see Thomas, T. Y, Proc. Nat. Acad. (Washington), 16 (1930), 761.CrossRefGoogle Scholar

page 39 note 1 Mc Vittie, G. C, loc. cit.Google Scholar

page 40 note 1 In Dr Mc Vittie's paper occurred instead of in the third term of and the first term of . Also in equation (28) of Mc Vittie's paper was zero, so that it was not correct to deduce that either g 14−g 44 = 0 orGoogle Scholar

page 42 note 1 McVittie, G. C, Proc. Roy. Soc. (A), 124 (1929), 366.CrossRefGoogle Scholar

page 43 note 1 Einstein, A., Berlin Akad. Sitz., 1 (1930), 18.Google Scholar

page 43 note 2 Einstein, and Mayer, , Berlin Akad. Sitz., 6 (1930), 110.Google Scholar