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Symmetry properties of Harrison space-times

Published online by Cambridge University Press:  24 October 2008

C. D. Collinson
C. D. Collinson
Affiliation:
University of Hull
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Abstract

All possible symmetries of the non-degenerate Harrison space-times are found. It is shown that if such a space-time admits an r-parameter group of motions, with r > 1, then it must admit a 2-parameter Abelian subgroup.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 2 , April 1964 , pp. 259 - 263
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Eisenhart, L. P.Continuous groups of transformations (Princeton University Press; 1933).Google Scholar
(2)Harrison, B. Kent.Phys. Rev. 116 (1959), 1285.CrossRefGoogle Scholar
(3)Petrov, A. Z. (Not yet published in English).Google Scholar
(4)Trautman, A. In Gravitation: an introduction to current research, ed. Witten, L. (Wiley; 1962).Google Scholar