Skip to main content
Log in

Phenomenology of Λ-CDM Model: A Possibility of Accelerating Universe with Positive Pressure

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

Abstract

Among various phenomenological Λ models, a time-dependent model \(\dot{\Lambda}\sim H^{3}\) is selected here to investigate the Λ-CDM cosmology. The model can follow from dynamics, underlying the origin of Λ. Using this model the expressions for the time-dependent equation of state parameter ω and other physical parameters are derived. It is shown that in H 3 model accelerated expansion of the Universe takes place at negative energy density, but with a positive pressure. It has also been possible to obtain the change of sign of the deceleration parameter q during cosmic evolution.

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

    Article  ADS  Google Scholar 

  4. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  5. Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)

    ADS  Google Scholar 

  6. Astier, P., et al.: Astron. Astrophys. 447, 31 (2005)

    Article  ADS  Google Scholar 

  7. Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)

    Article  ADS  Google Scholar 

  8. Sahni, V.: Lect. Notes Phys. 653, 141 (2004)

    ADS  Google Scholar 

  9. Khlopov, M.Yu.: In: Guiderdoni, B., et al. (eds.) Dark Matter in Cosmology, Clocks and Tests of Fundamental Laws, pp. 133–138. Editions Frontieres, Gif-sur-Yvette (1995)

    Google Scholar 

  10. Khlopov, M.Yu.: Cosmoparticle Physics. World Scientific, Singapore (1999)

    Book  MATH  Google Scholar 

  11. Doroshkevich, A.G., Khlopov, M.Yu.: Yad. Fiz. 39, 869 (1984) [English translation: Sov. J. Nucl. Phys. 39, 551 (1984)]

    Google Scholar 

  12. Turner, M.S., Steigman, G., Krauss, L.M.: Phys. Rev. Lett. 52, 2090 (1984)

    Article  ADS  Google Scholar 

  13. Gelmini, G., Schramm, D.N., Valle, J.W.F.: Phys. Lett. B 146, 311 (1984)

    ADS  Google Scholar 

  14. Doroshkevich, A.G., Khlopov, M.Yu.: Mon. Not. R. Astron. Soc. 211, 279 (1984)

    ADS  Google Scholar 

  15. Doroshkevich, A.G., Khlopov, M.Yu., Klypin, A.A.: Mon. Not. R. Astron. Soc. 239, 923 (1989)

    ADS  Google Scholar 

  16. Efstathiou, G., Sutherland, W., Madox, S.J.: Nature 348, 705 (1990)

    Article  ADS  Google Scholar 

  17. Pope, A.C., et al.: Astrophys. J. 607, 655 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Reuter, M., Wetterich, C.: Phys. Lett. B 188, 38 (1987)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  29. Mukhopadhyay, U., Ray, S., Duttachowdhury, S.B.: Int. J. Mod. Phys. D 17, 301 (2008)

    MATH  ADS  Google Scholar 

  30. Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)

    ADS  Google Scholar 

  31. Casimir, H.B.G.: Proc. K. Ned. Akad. Wet. 51, 793 (1948)

    MATH  Google Scholar 

  32. Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  33. Davies, P.C.W., Fulling, S.A.: Proc. R. Soc. Lond. 348, 393 (1976)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  34. Fulling, S.A., Davies, P.C.W.: Proc. R. Soc. Lond. 356, 237 (1977)

    Article  ADS  Google Scholar 

  35. Shapiro, I.L., Solà, J., Štefančić, H.: J. Cosmol. Astropart. Phys. 1, 012 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Bartelmann, M., et al.: New Astron. Rev. 49, 19 (2005)

    Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  42. Polarski, D., Chevallier, M.: Int. J. Mod. Phys. D 10, 213 (2001)

    ADS  Google Scholar 

  43. Linder, E.V.: Phys. Rev. Lett. 90, 91301 (2003)

    Article  ADS  Google Scholar 

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

    MATH  ADS  Google Scholar 

  45. Ray, S., Bhadra, S.: Phys. Lett. A 322, 150 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  46. Cooperstock, F.I., Rosen, N.: Int. J. Theor. Phys. 28, 423 (1989)

    Article  Google Scholar 

  47. Bonnor, W.B., Cooperstock, F.I.: Phys. Lett. A 139, 442 (1989)

    Article  ADS  Google Scholar 

  48. Herrera, L., Varela, V.: Phys. Lett. A 189, 11 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  49. Ray, S., Bhadra, S.: Int. J. Mod. Phys. D 13, 555 (2004)

    MATH  ADS  Google Scholar 

  50. Goodman, J.: New Astron. 5, 103 (2000)

    Article  ADS  Google Scholar 

  51. Hossenfelder, S.: Phys. Lett. B 636, 119 (2006)

    MathSciNet  ADS  Google Scholar 

  52. Quiros, I.: arXiv:gr-qc/0411064

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., Khlopov, M., Ghosh, P.P. et al. Phenomenology of Λ-CDM Model: A Possibility of Accelerating Universe with Positive Pressure. Int J Theor Phys 50, 939–951 (2011). https://doi.org/10.1007/s10773-010-0639-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-010-0639-0

Keywords

Navigation