Abstract
By considering a spherically-symmetric metric, certain new analytic solutions for charged rotating viscous-fluid cosmological models in the Einstein universe are found out. Five different cases in which the nature and role of the rotational velocity Ω(r, t) is related to the local dragging of inertial frames and that of matter rotation ω(r, t), are investigated. Except for the case of ‘perfect dragging’, the electric field is found to have a damping effect on the rotation of matter. The damping effect is seen to be roughly analogous to the viscosity. In some solutions we find out the temporal restrictions for realistic astrophysical situations. Models which are rotating as well as expanding are also obtained and studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adams, R. C., Adler, R. J., Cohen, J. M. and Sheffield, C.: 1974,Astrophys. J. 192, 525.
Adams, R. C., Cohen, J. M., Adler, R. J., and Sheffield, C.: 1973,Phys. Rev. D 8, 1651.
Bayin, S. S.: 1981,Phys. Rev. D24, 2056.
Bayin, S. S.: 1983,Phys. Rev. D27, 3030.
Bayin, S. S.: 1985,Can. J. Phys. 63, 1320.
Bayin, S. S. and Cooperstock, F. I.: 1980,Phys. Rev. D22, 2317.
Bietenholz, M. F. and Kronberg, P. P.: 1984,Astrophys. J. 287, L1.
Birch, P.: 1982,Nature 298, 451.
Boyer, R. H.: 1965,Proc. Camb. Phil. Soc. Math. Phys. Sci. 61, 527.
Hartle, J. B.: 1967,Astrophys. J. 150, 1005.
Hartle, J. B. and Sharp, D. H.: 1965,Phys. Rev. Letters 15, 909.
Hartle, J. B. and Sharp, D. H.: 1967,Astrophys. J. 147, 317.
Islam, J. N.: 1985,Rotating Fields in General Relativity, Cambridge Univ. Press, Cambridge.
Kaminisi, K., Arai, K., and Tukamoto, M.: 1977,Phys. Rep. Kumamoto Univ. 3 (1), 33.
Kerr, R. P.: 1963,Phys. Rev. Letters 11, 237.
Koijam, M. S.: 1988,Astrophys. Space Sci. (in press).
Koijam, M. S. and Bhamra, K. S.: 1986,Pramana J. Phys. 26, 117.
Krori, K. D., Sarmah, J. C., and Goswami, D.: 1983,Can. J. Phys. 61, 744.
Maitra, S. C.: 1966,J. Math. Phys. 7, 1025.
Papini, G. and Weiss, M.: 1986,J. Math. Phys. 27, 1367.
Silk, J. and Wright, J. P.: 1969,Monthly Notices Roy. Astron. Soc. 143, 55.
Sisteró, R. F.: 1983,Astrophys. Letters 23, 235.
Tiwari, R. N., Rao, J. R., and Kanakamedala, R. R.: 1986,Phys. Rev. D34, 327.
Van den Bergh, N. and Wils, P.: 1984, in W. B. Bonnor et al. (eds.),‘Charged Rotating Dust in General Relativity’, Classical General Relativity, Cambridge Univ. Press, Cambridge.
Whitman, P. G.: 1982,Phys. Letters 89A, 129.
Whitman, P. G.: 1984,Class. Quantum Gravit. 1, 319.
Whitman, P. G.: 1985,Phys. Rev. D32, 1857.
Wright, J. P.: 1965,J. Math. Phys. 6, 103.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Koijam, M.S. Slowly-rotating charged viscous-fluid universes: Exact solutions. Astrophys Space Sci 143, 137–152 (1988). https://doi.org/10.1007/BF00636762
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00636762