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A cylindrically symmetric universe filled with viscous fluid in a modified Brans-Dicke cosmology. (English) Zbl 1274.83061
Summary: Adding the cosmological term, which is assumed to be variable in Brans-Dicke theory we have discussed about a cylindrically symmetric model filled with viscous fluid with free gravitational field of Petrov type-D. The effect of viscosity on various kinematical parameters has been discussed. Finally, this model has been transformed to the original form [C. Brans and R. H. Dicke, Phys. Rev. (2) 124, 925–935 (1961; Zbl 0103.21402)] of Brans-Dicke theory (including a variable cosmological term).
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Cosmology
Full Text: DOI
[1] Petrosian, V., No article title, Symp. - Int. Astron. Union, 63, 31, (1975)
[2] Zel’dovich, Ya.B., No article title, Sov. Phys. Usp., 11, 381, (1968)
[3] Linde, A.D., No article title, JETP Lett., 19, 183, (1974)
[4] Drietlein, J., No article title, Phys. Rev. Lett., 33, 1243, (1974)
[5] Brans, C.H.; Dicke, R.H., No article title, Phys. Rev., 124, 925, (1961) · Zbl 0103.21402
[6] Fujii, Y., No article title, Phys. Rev. D, 9, 874, (1974)
[7] Endo, M.; Fukui, T., No article title, Gen. Relativ. Gravit., 8, 833, (1977)
[8] Dirac, P.A.M., No article title, Nature, 139, 323, (1937) · Zbl 0016.18504
[9] Dirac, P.A.M., No article title, Proc. R. Soc. Lond. A, 333, 403, (1973)
[10] Ellis, G.F.R.: In: Sachs, R.K. (ed.) General Relativity and Cosmology. Academic Press, New York (1971)
[11] Bergmann, P.G., No article title, Int. J. Theor. Phys., 1, 25, (1968)
[12] Wagoner, R.V., No article title, Phys. Rev. D, 1, 3209, (1970)
[13] Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon, Oxford (1963) · Zbl 0146.22405
[14] Dicke, R.H., No article title, Phys. Rev., 125, 2163, (1962) · Zbl 0113.45101
[15] Roy, S.R.; Prakash, S., No article title, J. Phys. A, Math. Gen., 9, 261, (1976)
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