Astrophysics and Space Science

, Volume 232, Issue 1, pp 79–88 | Cite as

Perfect and viscous fluid cosmological models in presence of scalar fields for anisotropic metric

  • A. R. Roy
  • P. K. Maiti


An exact solution of Einstein equations representing a perfect fluid model in the presence of a zero-mass scalar field is obtained for an anisotropic metric. The effect of dissipative processes on the model is also discussed. Different physically valid forms of the scale factors in the three spatial directions give rise to some distinct models. The physical behaviour of these models is discussed in detail. Some of the perfect fluid models exhibit the ‘cigar’ singularity.


Exact Solution Scalar Field Cosmological Model Einstein Equation Viscous Fluid 
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  1. Boutros, J. Hajj: 1986,Class. Quantum Grav. 3, 311.Google Scholar
  2. Dadhich, Naresh, Patel, L.K., and Tikekar, R.: 1993,Singularity Free Spacetimes-I: Metric and Fluid Models IUCAA-19/93 (Preprint: IUCAA, Pune, India).Google Scholar
  3. Demianski, M., de Ritis, R., Rubano, C., and Scudellaro, P.: 1992,Phys. Rev. D 46, 1391.Google Scholar
  4. Hawking, S.W. and Ellis, G.F.R.: 1973,The Large Scale Structure of Space-time, Cambridge University Press, Cambridge, pp. 142–144.Google Scholar
  5. Heller, M., Klimek, Z., and Suszycki, L.: 1973,Astrophys. Space Sci. 20, 205.Google Scholar
  6. Huang, Wung-Hong: 1990,J. Math. Phys. 31, 1456.Google Scholar
  7. Misner, C.W.: 1967,Nature 214, 40; 1967,Astrophys. J. 151, 431.Google Scholar
  8. Murphy, G.L.: 1973,Phys. Rev. D 8, 4231.Google Scholar
  9. Roy, A.R. and Maiti, P.K.: 1992,Astrophys. Space Sci. 191, 161; 1993,Astrophys. Space Sci. 205, 277; 1994,Astrophys. Space Sci. 219, 67.Google Scholar
  10. Senovilla, Jose M.M.: 1990,Phys. Rev. Letters 64, 2219.Google Scholar
  11. Tomimura, Nazira A. and Motta, Demison C.: 1991,Class. Quantum Grav. 8, 969.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • A. R. Roy
    • 1
  • P. K. Maiti
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyKharagpurIndia

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