Abstract
The accurate integration of the Einstein—Weyl field equations is considered for the case when the spinor field depends only on the time, while the metric specifies a uniform space—time of type I in the Bianci classification, i.e., a particular case of a Steckel space of type (3.0).
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References
W. Patrick,J. Math. Phys.,32, 231 (1991).
W. Patrick,Phys. Lett.,147, 435 (1990).
V. N. Shapovalov,Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 57 (1975).
B. Carter and R. G. McLenaghan,Phys. Rev. D,19, 1093 (1979).
N. Kamran and R. G. McLenaghan,J. Math Phys.,25, 1010 (1984).
E. G. Kalnins, W. J. Miller, and G. C. Williams,J. Math Phys.,27, 1893 (1986).
G. Torres del Castillo,J. Math Phys.,27, 2756 (1986).
N. A. Chernikov and N. S. Shavokhina,Acta Phys. Pol. B,20, 177 (1990).
S. D. Odintsov,Forschr. Phys.,39, 621 (1991).
V. G. Bagrov, A. V. Shapovalov, and A. A. Yevseyevich,Class. Quant. Grav.,7, 517 (1990).
V. G. Bagrov and V. V. Obukhov,J. Math. Phys.,33, 2279 (1992).
V. G. Bagrov and V. V. Obukhov,Int. J. Mod. Phys. D,3, 739 (1994).
V. G. Bagrov, V. V. Obukhov, and A. V. Shapovalov,Pramana J. Phys.,26, 93 (1986).
V. G. Bagrov and V. V. Obukhov,Teor. Mat. Fiz.,97, 250 (1992).
V. N. Shapovalov,Sib. Mat. Zh.,20, 1117 (1979).
V. G. Bagrov, V. V. Obukhov, and K. E. Osetrin,Gen. Relat. Grav.,20, 1141 (1988).
V. G. Bagrov and V. V. Obukhov,Ann. der Phys.,40, No. 4-5, 181 (1983).
B. Carter,Phys. Lett.,A26, 399 (1968).
Additional information
Tomsk State Pedagogical University. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 69–78, November, 1998.
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Makarenko, A.N., Obukhov, V.V. Cosmological solution of the Einstein—Weyl equation. Russ Phys J 41, 1124–1133 (1998). https://doi.org/10.1007/BF02514491
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DOI: https://doi.org/10.1007/BF02514491