Skip to main content
Log in

Variable Equation of State for Generalized Dark Energy Model

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We present a model for the present accelerating Universe and focus on the different important physical variables involved in the model under the phenomenological assumption Λ∝H 2 with a prescription for equation of state parameter in the form \(\omega(t)=\omega_{0}+\frac{\omega_{1}\tau}{t^{2}}\), where ω 0 and ω 1 are two constants and τ is a parameter having dimension of time t 2. General expressions for the density parameter Ω and deceleration parameter q are obtained which under specific bound reproduce some of the previous results. We explore physical features of these parameters which (i) provide the scenario of complete evolution of the cosmos with ω(t) and (ii) agree mostly with the observational status of the present phase of the accelerating Universe.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  2. Perlmutter, S.J., et al.: Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  3. Barrow, J.D., Magueijo, J.: Astrophys. J. 532, L87 (2000). astro-ph/9907354 (1999)

    Article  ADS  Google Scholar 

  4. Garcia-Berrow, E., et al.: astro-ph/9907440 (1999)

  5. C’el’erier, M.N.: Astron. Astrophys. 353, 63 (2000)

    ADS  Google Scholar 

  6. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D 58, 043506 (1998)

    Article  ADS  Google Scholar 

  7. Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 9, 373 (2000)

    ADS  Google Scholar 

  8. Ray, S., Mukhopadhyay, U., Dutta Choudhury, S.B.: Int. J. Mod. Phys. D 16, 1791 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Knop, R.A., et al.: Astrophys. J. 598, 102 (2003)

    Article  ADS  Google Scholar 

  10. Tegmark, M., et al.: Astrophys. J. 606, 702 (2004)

    Article  ADS  Google Scholar 

  11. Chevron, S.V., Zhuravlev, V.M.: Zh. Eksp. Teor. Fiz. 118, 259 (2000)

    Google Scholar 

  12. Zhuravlev, V.M.: Zh. Eksp. Teor. Fiz. 120, 1042 (2001)

    Google Scholar 

  13. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Kujat, J., et al.: Astrophys. J. 572, 1 (2002)

    Article  ADS  Google Scholar 

  15. Bartelmann, M., et al.: New Astron. Rev. 49, 199 (2005)

    Article  ADS  Google Scholar 

  16. Huterer, D., Turner, M.S.: Phys. Rev. D 64, 123527 (2001)

    Article  ADS  Google Scholar 

  17. Weller, J., Albrecht, A.: Phys. Rev. D 65, 103512 (2002)

    Article  ADS  Google Scholar 

  18. Polarski, D., Chavellier, M.: Int. J. Mod. Phys. D 10, 213 (2001)

    Article  ADS  Google Scholar 

  19. Linder, E.V.: Phys. Rev. Lett. 90, 091301 (2003)

    Article  ADS  Google Scholar 

  20. Linder, E.V.: Gen. Relativ. Gravit. 40, 329 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. Rapatti, D., Allen, S.W., Weller, J.: Mon. Not. R. Astron. Soc. 360, 555 (2005)

    Article  ADS  Google Scholar 

  22. Corasaniti, P.-S., Copeland, E.J.: Phys. Rev. D 67, 063521 (2003)

    Article  ADS  Google Scholar 

  23. Linder, E.V., Huterer, D.: Phys. Rev. D 72, 043509 (2005)

    Article  ADS  Google Scholar 

  24. Linder, E.V.: In: Identification of Dark Matter (IDM 2002), p. 52 (2002). astro-ph/0210217

    Google Scholar 

  25. Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)

    Article  ADS  Google Scholar 

  26. Turner, M.S., White, M.: Phys. Rev. D 56, R4439 (1997)

    Article  ADS  Google Scholar 

  27. Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)

    Article  ADS  Google Scholar 

  28. Liddle, A.R., Scherrer, R.J.: Phys. Rev. D 59, 023509 (1998)

    Article  ADS  Google Scholar 

  29. Steinhardt, P.J., Wang, L., Zlatev, I.: Phys. Rev. D 59, 123504 (1999)

    Article  ADS  Google Scholar 

  30. Bhui, B., Bhui, B.C., Rahaman, F.: Astrophys. Space Sci. 299, 61 (2005)

    Article  ADS  MATH  Google Scholar 

  31. Rahaman, F., Bhui, B., Bhui, B.C.: Astrophys. Space Sci. 301, 47 (2006)

    Article  ADS  Google Scholar 

  32. Rahaman, F., Kalam, M., Chakraborty, S.: Acta Phys. Pol. B 40, 25 (2009)

    ADS  MathSciNet  Google Scholar 

  33. Amendola, L.: Mon. Not. R. Astron. Soc. 342, 221 (2003)

    Article  ADS  Google Scholar 

  34. Padmanabhan, T., Roychowdhury, T.: Mon. Not. R. Astron. Soc. 344, 823 (2003)

    Article  ADS  Google Scholar 

  35. Riess, A.G.: Astrophys. J. 560, 49 (2001)

    Article  ADS  Google Scholar 

  36. Mukhopadhyay, U., Ghosh, P.P., Khlopov, M., Ray, S.: Int. J. Theor. Phys. 50, 939 (2011)

    Article  MATH  Google Scholar 

  37. Mukhopadhyay, U., Ray, S., Dutta Choudhury, S.B.: Int. J. Mod. Phys. D 17, 301 (2008)

    Article  ADS  MATH  Google Scholar 

  38. Usmani, A.A., Ghosh, P.P., Mukhopadhyay, U., Ray, P.C., Ray, S.: Mon. Not. R. Astron. Soc. 386, L92 (2008)

    Article  ADS  Google Scholar 

  39. Mukhopadhyay, U., Ray, S.: N. B. Math. II, 51 (2009)

    Google Scholar 

  40. Mukhopadhyay, U., Ray, S., Usmani, A.A., Ghosh, P.P.: Int. J. Theor. Phys. 50, 752 (2011)

    Article  MATH  Google Scholar 

  41. Ray, S., Mukhopadhyay, U., He-Meng, X.: Gravit. Cosmol. 13, 142 (2007)

    ADS  MATH  Google Scholar 

  42. Gliner, F.: Zh. Eksp. Teor. Fiz. 49, 542 (1965)

    Google Scholar 

  43. Majernik, V.: Phys. Lett. A 282, 362 (2001)

    Article  ADS  MATH  Google Scholar 

  44. Vishwakarma, R.G.: Gen. Relativ. Gravit. 33, 1973 (2001)

    Article  ADS  MATH  Google Scholar 

  45. Shapiro, I.L., Solà, J., S̆tefanc̆ić, H.: J. Cosmol. Astropart. Phys. 01, 012 (2005)

    Article  ADS  Google Scholar 

  46. Vereschagin, G.V., Yegorian, G.: Class. Quantum Gravity 23, 5049 (2006)

    Article  ADS  Google Scholar 

  47. Gurzadyan, V.G., Xue, S.-S.: Mod. Phys. Lett. A 18, 561 (2003)

    Article  ADS  MATH  Google Scholar 

  48. Beesham, A.: Phys. Rev. D 48, 3539 (1993)

    Article  ADS  Google Scholar 

  49. Vishwakarma, R.G.: Class. Quantum Gravity 18, 1159 (2001)

    Article  ADS  MATH  Google Scholar 

  50. Carvalho, J.C., Lima, J.A.S., Waga, I.: Phys. Rev. D 46, 2404 (1992)

    Article  ADS  Google Scholar 

  51. Waga, I.: Astrophys. J. 414, 436 (1993)

    Article  ADS  Google Scholar 

  52. Lima, J.A.S., Carvalho, J.C.: Gen. Relativ. Gravit. 26, 909 (1994)

    Article  ADS  Google Scholar 

  53. Vishwakarma, R.G.: Class. Quantum Gravity 19, 4747 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  54. Cohen, A.G., Kaplan, D.B., Nelson, A.E.: Phys. Rev. Lett. 82, 4971 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  55. Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004)

    Article  ADS  Google Scholar 

  56. Mukhopadhyay, U., Ray, S., Rahaman, F.: Int. J. Mod. Phys. D 19, 475 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  57. Dymnikova, I., Khlopov, M.: Gravit. Cosmol. 4, 50 (1998)

    ADS  Google Scholar 

  58. Dymnikova, I., Khlopov, M.: Mod. Phys. Lett. A 15, 2305 (2000)

    Article  ADS  Google Scholar 

  59. Dymnikova, I., Khlopov, M.: Eur. Phys. J. C 20, 139 (2001)

    Article  ADS  Google Scholar 

  60. Mukhopadhyay, U., Ray, P.C., Ray, S., Dutta Choudhury, S.B.: Int. J. Mod. Phys. D 18, 389 (2009)

    Article  ADS  MATH  Google Scholar 

  61. Turner, M.S.: Astrophys. J. 576, L101 (2002)

    Article  ADS  Google Scholar 

  62. Rebolo, R.: Nucl. Phys. B, Proc. Suppl. 114, 3 (2003)

    Article  ADS  Google Scholar 

  63. Alcaniz, J.S.: Phys. Rev. D 69, 083521 (2004)

    Article  ADS  Google Scholar 

  64. Tripp, R.: Astron. Astrophys. 325, 871 (1997)

    ADS  Google Scholar 

  65. Sahni, V.: Pramana 53, 937 (1999)

    Article  ADS  Google Scholar 

  66. Mukhopadhyay, U., Ray, S.: astro-ph/0510557 (2005)

  67. Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  68. S̆tefanc̆ić, H.: Phys. Lett. B 595, 9 (2004)

    Article  ADS  Google Scholar 

  69. Kuhlen, M., et al.: Mon. Not. R. Astron. Soc. 357, 387 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Saibal Ray.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ray, S., Rahaman, F., Mukhopadhyay, U. et al. Variable Equation of State for Generalized Dark Energy Model. Int J Theor Phys 50, 2687–2696 (2011). https://doi.org/10.1007/s10773-011-0766-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0766-2

Keywords

Navigation