Skip to main content
SpringerLink
Log in

Bianchi II, VIII, and IX viscous fluid cosmology

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

In this paper we study the exact solutions for a viscous fluid distribution in Bianchi II, VIII, and IX models. The metric is simplified by assuming a relationship between the coefficients of the metric tensor. Solutions are obtained in two special cases: in one an additional assumption is made where the matter density and the expansion scalar have a definite relation and in the other a barotropic equation of state of the formp=ερ is assumed. While the Bianchi II solutions are already found in the literature the other two classes of solutions are apparently new.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Banerjee, A. and Santos, N. O.: 1984,Gen. Rel. Grav. 16, 217.

    Google Scholar 

  • Banerjee, A., Dutta Choudhury, S. B., and Sanyal, A. K.: 1986,Gen. Rel. Grav. 18, 461.

    Google Scholar 

  • Maartens, R. and Nel, S. D.: 1978,Comm. Math. Phys. 59, 273.

    Google Scholar 

  • Misner, C. W.: 1967,Phys. Rev. Letters 9, 533.

    Google Scholar 

  • Nightingale, J. D.: 1973,Astrophys. J. 185, 105.

    Google Scholar 

  • Treciokas, R. T. and Ellis, G. F. R.: 1971,Comm. Math. Phys. 23, 1.

    Google Scholar 

  • Weinberg, S.: 1971,Astrophys. J. 168, 175.

    Google Scholar 

Download references

Author information

Author notes

  1. Abhik Kumar Sanyal

    Present address: Department of Physics, Jangipur College, P.O. Jangipur, Dt. Murshidabad, West Bengal, India

Authors and Affiliations

  1. Department of Physics, Jadavpur University, Calcutta, India

    A. Banerjee & Abhik Kumar Sanyal

  2. Department of Mathematics, Jadavpur University, Calcutta, India

    Subenoy Chakraborty

Authors
  1. A. Banerjee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abhik Kumar Sanyal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Subenoy Chakraborty
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Banerjee, A., Sanyal, A.K. & Chakraborty, S. Bianchi II, VIII, and IX viscous fluid cosmology. Astrophys Space Sci 166, 259–268 (1990). https://doi.org/10.1007/BF01094897

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094897

Keywords

Search

Navigation