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L.R.S. Bianchi type II Stiff Fluid Cosmological model with Decaying ? in General Relativity

Author Affiliations

  • 1 Govt. Engineering College, Rewa–486 001, MP, INDIA

Res. J. Recent Sci., Volume 1, Issue (10), Pages 82-84, October,2 (2012)


Einstein’s field equations with variable cosmological constants are considered in the presence of stiff fluid for LRS Bianchi type-II universe. To get the deterministic model of the universe, we have assumed a condition A=B. It is shown that the vacuum energy density is positive and proportional to 1/t2. The model represent accelerating, shearing and non-rotating universe. The physical and geometrical behavior of these models are also discussed.


  1. Weinberg S., The cosmological constant problem, Rev. Mod. Phys,61, 1 (1989)
  2. Sahni V. and Starobinsky A.A., The Case for a Positive Cosmological -Term, Int. J. Mod. Phys., D9, 373 (2000)
  3. Peebles P.J.E. and Ratra B., The cosmological constant and dark energy, Rev. Mod. Phys,75, 559 (2003)
  4. Gasperini M., Decreasing vacuum temperature: A thermal approach to the cosmological constant problem, Phys. Lett. B,194, 347 (1987)
  5. Gasperini M.A., Thermal interpretation of the cosmological constant, Class. Quant. Grav,5, 521 (1988)
  6. Berman M.S., Static universe in a modified brans-dicke cosmology, Int. J. Theor. Phys,29, 567 (1990)
  7. Berman M.S., Brans-Dicke cosmology with time-dependent cosmological term, Int. J. Theor. Phys,29, 1419 (1990)
  8. Berman M.S. and Som M.M., Brans-Dicke models with time-dependent cosmological term, Int. J. Theor. Phys,29, 1411 (1990)
  9. Ozer M. and Taha M.O., A model of the universe free of cosmological problems, Nucl. Phys. B, 287, 776 (1987)
  10. Pradhan A. and Yadav V.K., Bulk Viscous Anisotropic Cosmological Models with Variable G and , Int. J. Mod Phys. D,11, 893 (2002)
  11. Zel’dovich Ya B., A hypothesis, unifying the structure and the entropy of the Universe, Mon. Not. R. Astron. Soc.,160, 1 (1972)
  12. Barrow J.D., The deflationary universe: An instability of the de Sitter universe, Phys. Lett. B,180, 335 (1986)
  13. Wesson P.S., An exact solution to Einstein's equations with a stiff equation of state, J. Math. Phys.,19, 2283 (1978)
  14. G¨otz G., A plane-symmetric solution of Einstein's equations with perfect fluidand an equation of state p = , Gen. Relativ. Gravit.,20, 23 (1988)
  15. Al-Rawaf A.S., A Cosmological Model with a Generalized Cosmological Constant, Mod. Phys. Lett. A, 13, 429 (1998)
  16. Overduin J.M. and Cooperstock F.I., Evolution of the scale factor with a variable cosmological term, Phys. Rev. D, 58, 043506, (1998)