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Bazanski, Stanislaw L.

Dynamics of relative motion of test particles in general relativity. (English) Zbl 0377.53015

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 27, 145-166 (1977).
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Cited in 7 Documents

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
83C40 Gravitational energy and conservation laws; groups of motions
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References:

[1] S.L. Bazanski , Ann. Henri Poincaré , t. 27 , 1977 , p. 115 . Numdam | MR 469066 | Zbl 0377.53014 · Zbl 0377.53014
[2] C. Carathéodory , Variationsrechnung und Partielle Differential Gleichnungen erster Ordnung , B. G. Teubner , Leipzig und Berlin , 1935 . Zbl 0011.35603 | JFM 61.0547.01 · Zbl 0011.35603
[3] J. Plebanski , Spinors, Tetrads and Forms, Preprint of Centro de Investigacion y de Estudios Avanzados del I. P. N. , Mexico , 1975 .
[4] A. Trautman , in Gravitation: an introduction to current research , ed. L. Witten, J. Wiley and Sons Inc ., New York , 1962 . MR 143622 · Zbl 0115.43103
[5] S.L. Bazanski , Acta Phys. Polon. , t. B 7 , 1976 , p. 305 . MR 406233
[6] P.A.M. Dirac , Can. J. Math. , t. 2 , 1950 , p. 129 ; Proc. Roy. Soc. , t. A 246 , 1958 , p. 326 . MR 43724 | Zbl 0036.14104 · Zbl 0036.14104 · doi:10.4153/CJM-1950-012-1
[7] E. Goursat , Leçons sur les équations aux dérivées partielles du premier ordre , Hermann , Paris , 1922 .
[8] L.D. Landau and E.M. Lifshitz , The classical theory of fields Addison-Wesley , Reading Mass . and Pergamon , London , 1971 . · Zbl 0178.28704
[9] C.W. Misner , K.S. Thorne and J.A. Wheeler , Gravitation , H. W. Freeman and Co ., San Francisco , 1973 . MR 418833
[10] S.L. Bazanski , Nova Acta Leopoldina , t. 39 , n^\circ 212 , 1974 , p. 215 .
[11] N.V. Mitskevich , Physical Fields in the General Relativity Theory (in Russian) , Nauka , Moscow , 1969 .
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