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Bianchi Type V Barotropic Perfect Fluid Cosmological Model in Lyra Geometry

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Abstract

We have investigated Bianchi Type V barotropic perfect fluid cosmological model in Lyra geometry. To get the deterministic model of the universe, we have assumed the barotropic perfect fluid condition p=γ ρ, 0≤γ≤1 and energy conservation equation i.e. T j i;j =0. The physical and geometrical aspects of the model are discussed. The special cases for γ=1 (stiff fluid distribution), γ=0 (dust distribution), γ=1/3 (disordered radiation) are also discussed.

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References

  1. Weyl, H.: Sitz.ber. Preuss Akad. Wiss., 465 (1918)

  2. Lyra, G.: Math. Z. 54, 52 (1951)

    Article  MATH  Google Scholar 

  3. Halford, W.D.: Aust. J. Phys. 23, 863 (1970)

    ADS  Google Scholar 

  4. Soleng, H.H.: Gen. Relativ. Gravit. 19, 1213 (1987)

    Article  ADS  Google Scholar 

  5. Hoyle, F.: Mon. Not. R. Astron. Soc. 108, 252 (1948)

    ADS  Google Scholar 

  6. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. Lond., Ser. A 273, 1 (1963)

    Article  MATH  ADS  Google Scholar 

  7. Singh, T., Singh, G.P.: Forthschr. Phys. 41, 737 (1993)

    ADS  Google Scholar 

  8. Reddy, D.R.K., Venkateshwarlu, R.: Astrophys. Space Sci. 136, 191 (1987)

    Article  ADS  Google Scholar 

  9. Singh, T., Singh, G.P.: J. Math. Phys. 32, 2456 (1991)

    Article  MATH  ADS  Google Scholar 

  10. Chakraborty, S., Ghosh, S.: Int. J. Mod. Phys. D 9, 543 (2000)

    MATH  ADS  Google Scholar 

  11. Rahaman, F., Bera, J.: Int. J. Mod. Phys. D 10, 729 (2001)

    MATH  ADS  Google Scholar 

  12. Rahaman, F., Chakraborty, S., Bera, J.: Int. J. Mod. Phys. D 11, 1501 (2002)

    MATH  ADS  Google Scholar 

  13. Rahaman, F., Begum, N., Bag, G., Bhui, B.C.: Astrophys. Space Sci. 299, 211 (2005)

    Article  ADS  Google Scholar 

  14. Pradhan, A., Vishwakarma, A.K.: J. Geom. Phys. 49, 32 (2004)

    Article  Google Scholar 

  15. Pradhan, A., Yadav, V.K., Chakraborty, I.: Int. J. Mod. Phys. D 10, 339 (2001)

    ADS  Google Scholar 

  16. Pradhan, A., Rai, V., Otarod, S.: Fizika B 15, 23 (2006)

    Google Scholar 

  17. Casana, R., Melo, C., Pimentel, B.: Astrophys. Space Sci. 305, 125 (2006)

    Article  ADS  Google Scholar 

  18. Singh, J.K.: Astrophys. Space Sci. 314, 361 (2008)

    Article  ADS  Google Scholar 

  19. Kumar, S., Singh, C.P.: Int. J. Mod. Phys. A 23, 813 (2008)

    Article  MATH  ADS  Google Scholar 

  20. Pradhan, A.: J. Math. Phys. 50, 022501 (2009)

    Article  ADS  Google Scholar 

  21. Pradhan, A.: Commun. Theor. Phys. 51, 378 (2009)

    Article  Google Scholar 

  22. Mohanty, G., Mahanta, K.L., Sahoo, R.R.: Astrophys. Space Sci. 306, 269 (2006)

    Article  ADS  Google Scholar 

  23. Bali, R., Chandnani, N.K.: J. Math. Phys. 49, 032502 (2008)

    Article  ADS  Google Scholar 

  24. Bali, R., Chandnani, N.K.: Astrophys. Space Sci. 318, 225 (2008)

    Article  ADS  Google Scholar 

  25. Beesham, A.: Astrophys. Space Sci. 125, 99 (1986)

    Article  ADS  Google Scholar 

  26. Maharaj, S.D., Beehsam, A.: S. Afr. J. Phys. 11, 34 (1988)

    Google Scholar 

  27. Coley, A.A.: Gen. Relativ. Gravit. 22, 3 (1990)

    Article  MATH  ADS  Google Scholar 

  28. Lorentz, D.: Gen. Relativ. Gravit. 13, 795 (1981)

    Article  ADS  Google Scholar 

  29. Roy, S.R., Singh, J.P.: Astrophys. Space Sci. 96, 303 (1983)

    Article  MATH  ADS  Google Scholar 

  30. Banerjee, A., Sanyal, A.K.: Gen. Relativ. Gravit. 20, 103 (1988)

    Article  ADS  Google Scholar 

  31. Roy, S.R., Prasad, A.: Gen. Relativ. Gravit. 26, 939 (1994)

    Article  ADS  Google Scholar 

  32. Nayak, B.K., Sahoo, B.K.: Gen. Relativ. Gravit. 28, 251 (1996)

    Article  MATH  ADS  Google Scholar 

  33. Bali, R., Singh, D.K.: Astrophys. Space Sci. 288, 517 (2003)

    Article  MATH  ADS  Google Scholar 

  34. Bali, R., Sharma, K.: Math. Prog., B.H.U. (India), 53 (2003)

  35. Bali, R., Meena, B.L.: Pramana J. Phys. 62, 1007 (2004)

    Article  ADS  Google Scholar 

  36. Bali, R., Meena, B.L.: Proc. Natl. Acad. Sci. 75A(IV), 273 (2005)

    Google Scholar 

  37. Singh, C.P., Zeyauddin, M., Ram, S.: Int. J. Theor. Phys. 47, 3162 (2008)

    Article  MATH  Google Scholar 

  38. Bali, R., Jain, S.: Int. J. Mod. Phys. D 16, 1769 (2007)

    MATH  ADS  Google Scholar 

  39. Singh, T., Singh, G.P.: Astrophys. Space Sci. 182, 189 (1991)

    Article  MATH  ADS  Google Scholar 

  40. Sen, D.K.: Phys. Z. 149, 311 (1957)

    Article  MATH  ADS  Google Scholar 

  41. MacCallum, M.A.H.: Commun. Math. Phys. 20, 57 (1971)

    Article  ADS  Google Scholar 

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Correspondence to Raj Bali.

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Bali, R., Chandnani, N.K. Bianchi Type V Barotropic Perfect Fluid Cosmological Model in Lyra Geometry. Int J Theor Phys 48, 1523–1533 (2009). https://doi.org/10.1007/s10773-009-0002-5

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  • DOI: https://doi.org/10.1007/s10773-009-0002-5

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