Abstract
Considering Bianchi type-I metric, cosmological models of a perfect fluid with an electromagnetic field have been obtained, using a supplementary condition between the metric potentials. The four-current is either zero or space-like. The model has expanding and shearing but non-rotating fluid flow which is also geodetic. The requirement of positive conductivity imposes an additional restriction on the model. Various physical and mathematical properties of the model have been discussed.
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References
De, U. K.: 1975,Acta Phys. Polon. (Poland) B6, 341.
Ellis, G. F. R.: 1971, in R. K. Sachs (ed.),General Relativity and Cosmology, Academic Press, New York, p. 104.
Greenberg, P. J.: 1971,Astrophys. J. 164, 589.
Ginzburg, V. L.: 1965,International Conference on Relativistic Theories of Gravitation, King's College, London, p. 3.
Hawking, S. W. and Penrose, R.: 1973,The Large-Scale Structure of Space Time, Cambridge University Press, Cambridge.
Hughston, L. P. and Jacobs, K. C.: 1969,Astrophys. J. 160, 147.
Jacobs, K. C.: 1968,Astrophys. J. 153, 661.
Jacobs, K. C.: 1977, Preprint MPI-PAE-Astron. 121, Max-Planck Institute, Münich.
Lichnerowicz, A.: 1967,Relativistic Hydrodynamics and Magnetohydrodynamics, Benjamin, New York.
MacCallum, M. A. H.: 1979,General Relativity: An Einstein Centenary Survey, Cambridge University Press, Cambridge, Chapter XI.
Monoghan, J. J.: 1966,Monthly Notices Roy. Astron. Soc. 134, 275.
Narlikar, V. V. and Singh, K. P.: 1951,Proc. Mat. Inst. Sci. (India) 17, 31.
Rosen, N.: 1940,Phys. Rev. 57, 147.
Roy, S. R. and Prakash, S.: 1978,Indian J. Phys. B52, 47.
Roy, S. R. and Tiwari, O. P.: 1980,Indian J. Pure Appl. Math. 11, 609.
Seymour, P. A. H.: 1966,Monthly Notices Roy. Astron. Soc. 134, 380.
Shikin, I. S.: 1966,Soviet Phys. JETP 11, 944.
Singh, T. and Yadav, R. B. S.: 1980,Indian J. Pure Appl. Math. 11, 917.
Throne, K. S.: 1967,Astrophys. J. 148, 51.
Tolman, R. C.: 1972,Relativity, Thermodynamics and Cosmology, Oxford University Press, London, p. 289.
Tupper, B. O. J.: 1977a,Phys. Rev. D15, 2123.
Tupper, B. O. J.: 1977b,Astrophys. J. 216, 192.
Vajk, J. P. and Eltgroth, P. G.: 1970,J. Math. Phys. 11, 2212.
Zeldovich, Ya. B.: 1965,Zh. Exper. Teor. Fiz. (USSR) 48, 986.
Zeldovich, Ya. B. and Novikov, I. D.: 1971,Relativistic Astrophysics, Vol. I, University of Chicago Press, Chicago, p. 459.
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Singh, T., Srivastava, R.S. Some anisotropic spatially-homogeneous cosmological models with electromagnetic field. Astrophys Space Sci 159, 21–38 (1989). https://doi.org/10.1007/BF00640484
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DOI: https://doi.org/10.1007/BF00640484