Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-29T15:01:00.888Z Has data issue: false hasContentIssue false

Some Bianchi type VI0 viscous fluid cosmological models

Published online by Cambridge University Press:  17 February 2009

L. K. Patel
Affiliation:
Department of Mathematics, Gujarat University, Ahmedabad 380009, Gujarat State, India.
Sharda S. Koppar
Affiliation:
Department of Mathematics, Ohio State University, Columbus, Ohio 43210, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The Einstein field equations have been solved for Bianchi type VI0 spacetimes with viscous fluid source. Four cosmological models are derived. They have nonzero expansion and shear. One of them have nonzero constant shear viscosity coefficient.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Banerjee, A., Duttachoudhury, S. B., Sanyal, A. K., “Bianchi type II cosmological model with viscous fluid,” Gen. Relativ. and Gravitation, 18 (1986) 461477.CrossRefGoogle Scholar
[2]Banerjee, A., Riberiro, M. B. and Santos, N. O., “Anisotropic viscous fluid cosmological model”, Astrophys. Space Sci., 136 (1987) 331336.CrossRefGoogle Scholar
[3]Collins, C. B., Glass, E. N. and Wilkinson, D. A., “Exact spatially homogeneous cosmologies”, Gen. Relativ. and Gravitation, 12 (1980) 805823.CrossRefGoogle Scholar
[4]Dunn, K. A. and Tupper, B. O. J., “Tilting and viscous models in a class of Bianchi type VI0cosmologies,” Astrophys. J. 222 (1978) 405411.CrossRefGoogle Scholar
[5]Hawking, S. W. and Penrose, R., “The singularities of gravitational collapse and cosmology”, Proc. Roy. Soc. A. 314 (1969) 529548.Google Scholar
[6]Klimek, Z., Acta Cosmological 2 (1974) 49.Google Scholar
[7]MacCallum, M. A. H., General relativity on Einstein centenary survey. (London: Cambridge University Press) (1979) 533580.Google Scholar
[8]Murphy, G. L., “Big-bang model without singularities,” Phys. Rev. D 8 (1973) 42314233.CrossRefGoogle Scholar
[9]Narain, S., “Some static and nonstatic perfect fluid models in general relativity,” Gen. Relativ. and Gravitation 20 (1988) 1522.CrossRefGoogle Scholar
[10]Narbikar, J. V., “Introduction to cosmology” (1983) 231249.Google Scholar
[11]Raychaudhuri, A. K., “Relativistic cosmology I.jPhys. Rev. 98 (1955) 11231126.CrossRefGoogle Scholar
[12]Ribeiro, M. B. and Sanyal, A. K., “Bianchi VI0 viscous fluid cosmology with magnetic fluid.” J. Math. Phys. 28 (1987) 657660.CrossRefGoogle Scholar
[13]Roy, S. R. and Prakash, S., “Some viscous fluid cosmological models of plane symmetry”, J. Phys. A9 (1976) 261267.Google Scholar
[14]Roy, S. R. and Singh, J. P., “Some Bianchi type VI0 cosmological models with free gravitational field of the magnetic type,” Acta Physica Austrica 55 (1983) 5766.Google Scholar
[15]Santos, N. O., Dias, R. S. and Banerjee, A.. “Isotropic homogeneous universe with viscous fluid”, J. Math. Phys. 28 (1985) 878881.CrossRefGoogle Scholar