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Physical properties of some empty space-times

  • V. Joseph (a1)

The canonical form of the Riemann tensor is found for certain non-flat empty space-times. Some invariant physical properties of these space-times are investigated. The status of Mach's principle in general relativity theory is briefly discussed in the light of these examples.

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(1)Bondi, H.Cosmology (Cambridge, 1952), Chapters IV and X.
(2)Petrov, A. Z.Sci. Not. Kazan State Univ. 114 (1954), 55.
(3)Pirani, F. A. E.Phys. Rev. 105 (1957), 1089.
(4)Synge, J. L.Proc. R. Irish Acad. A, 53 (1950), 83.
(5)Taub, A. H.Ann. Math., Princeton, 53 (1951), 472.
(6)Wyman, M.Phys. Rev. 66 (1944), 267.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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