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General relativistic theory of gravitation exhibiting complete group covariance. (English) Zbl 0469.53057


MSC:

53C80 Applications of global differential geometry to the sciences
83C40 Gravitational energy and conservation laws; groups of motions
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References:

[1] De Witt, B. (1964). InRelativity Groups and Cosmology; Proc. Les Hauches Summer Institute (1963), ed. C. De Witt, Hermann, Paris. Gordon & Breach, New York.
[2] Dirac, P. A. M. (1935).Annals of Mathematics,30, 657. · Zbl 0012.18104 · doi:10.2307/1968649
[3] Einstein, A. (1927).Sitzungsberichte der Preussischen Akademie der Wissenschaften PhysikalischMathematische Klasse,Dec. 8, 23, 26.
[4] Einstein, A. (1928).Sitzungsberichte der Preussischen Akademie der Wissenschaften PhysikalischMathematische Klasse,June 14, 224.
[5] Eisenhart, L. P. (1933).Continuous Groups of Transformation, reprinted in (1961).Riemannian Geometry. Princeton U.P., Princeton, New Jersey. · Zbl 0008.10801
[6] Halpern, L. J. (1977).General Relativity and Gravitation,8, 623. · Zbl 0442.53034 · doi:10.1007/BF00756314
[7] Halpern, L. (1979). Proceedings of the Symposium on Group Theory and Physics, Kiryat Anavim.
[8] Halpern, L. (1980).International Journal of Theoretical Physics,18, 845-860. · Zbl 0444.53041 · doi:10.1007/BF00670462
[9] Kaluza, Th. (1971).Sitzungsberichte der Preussischen Akademie der Wissenschaften PhysikalischMathematische Klasse, (1921), p. 966. · JFM 48.1032.03
[10] Klein, O. (1926).Zeitschr. F. Physik,37, 895. · JFM 52.0970.09 · doi:10.1007/BF01397481
[11] Lubkin, E. (1971). InRelativity and Gravitation; ed. Kuper, C. G., and Peres, A. Gordon & Breach, New York; also in (1961). Princeton U.P., Princeton, New Jersey.
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