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Rip/singularity free cosmology models with bulk viscosity

  • Xin-he Meng
  • Zhi-yuan MaEmail author
Regular Article - Theoretical Physics

Abstract

In this paper we present two concrete models of non-perfect fluid with bulk viscosity to interpret the observed cosmic accelerating expansion phenomena, avoiding the introduction of exotic dark energy. The first model we inspect has a viscosity of the form ζ=ζ 0+(ζ 1ζ 2 q)H by taking into account the decelerating parameter q, and the other model is of the form ζ=ζ 0+ζ 1 H+ζ 2 H 2. We give the exact solutions of such models and further constrain them with the latest Union2 data as well as the currently observed Hubble-parameter dataset (OHD). Then we discuss the fate of universe evolution in these models, which confronts neither future singularity nor little/pseudo rip. From the resulting curves by best-fittings we find a much more flexible evolution processing due to the presence of viscosity while being consistent with the observational data in the region of data fitting. With the bulk viscosity considered, a more realistic universe scenario is characterized comparable with the ΛCDM model but without introducing the mysterious dark energy.

Keywords

Dark Energy Hubble Parameter Bulk Viscosity Dark Energy Density Future Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We have benefited from interesting discussions with Prof. S.D. Odintsov, and this work is partly supported by Natural Science Foundation of China under Grant Nos. 11075078 and 10675062 and by the project of knowledge Innovation Program (PKIP) of Chinese Academy of Sciences (CAS) under the grant No. KJCX2.YW.W10 through the KITPC where we have initiated this present work.

References

  1. 1.
    A.G. Riess et al., Astrophys. J. 116, 1009 (1998) Google Scholar
  2. 2.
    S. Perlmutter et al., Nature 404, 955 (2000) CrossRefGoogle Scholar
  3. 3.
    S. Perlmutter et al., Astrophys. J. 517, 565 (1999) ADSCrossRefGoogle Scholar
  4. 4.
    N. Jarosik et al., Astrophys. J. Suppl. Ser. 192, 14 (2011) ADSCrossRefGoogle Scholar
  5. 5.
    S. Weinberg, Rev. Mod. Phys. 61, 1 (1989) MathSciNetADSzbMATHCrossRefGoogle Scholar
  6. 6.
    V. Sahni, A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000) ADSGoogle Scholar
  7. 7.
    R.D. Peccei, J. Sola, C. Wetterich, Phys. Lett. B 195, 183 (1987) ADSCrossRefGoogle Scholar
  8. 8.
    C. Wetterich, Nucl. Phys. B 302, 668 (1988) ADSCrossRefGoogle Scholar
  9. 9.
    B. Ratra, P.J.E. Peebles, Phys. Rev. D 37, 3406 (1988) ADSCrossRefGoogle Scholar
  10. 10.
    P.J.E. Peebles, B. Ratra, Astrophys. J. 325, L17 (1988) ADSCrossRefGoogle Scholar
  11. 11.
    I. Zlatev, L.M. Wang, P.J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999) ADSCrossRefGoogle Scholar
  12. 12.
    R.R. Caldwell, R. Dave, P.J. Steinhardt, Phys. Rev. Lett. 80, 1582–1585 (1998) ADSCrossRefGoogle Scholar
  13. 13.
    X.H. Meng, P. Wang, Class. Quantum Gravity 20, 4949 (2003) MathSciNetADSzbMATHCrossRefGoogle Scholar
  14. 14.
    X.H. Meng, P. Wang, Class. Quantum Gravity 21, 951 (2004) MathSciNetADSzbMATHCrossRefGoogle Scholar
  15. 15.
    X.H. Meng, P. Wang, Class. Quantum Gravity 21, 2029 (2004) MathSciNetADSzbMATHCrossRefGoogle Scholar
  16. 16.
    X.H. Meng, P. Wang, Class. Quantum Gravity 22, 23 (2005) MathSciNetADSzbMATHCrossRefGoogle Scholar
  17. 17.
    X.H. Meng, P. Wang, Gen. Relativ. Gravit. 36, 1947 (2004) MathSciNetADSzbMATHCrossRefGoogle Scholar
  18. 18.
    X.H. Meng, P. Wang, Phys. Lett. B 584, 1 (2004) ADSCrossRefGoogle Scholar
  19. 19.
    E. Flanagan, Class. Quantum Gravity 21, 417 (2003) MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    S. Nojiri, S. Odintsov, Phys. Lett. B 576, 5 (2003) MathSciNetADSzbMATHCrossRefGoogle Scholar
  21. 21.
    S. Nojiri, S. Odintsov, Phys. Rev. D 68, 123512 (2003) MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    D. Vollick, Phys. Rev. D 68, 063510 (2003) ADSCrossRefGoogle Scholar
  23. 23.
    G. Ellis, arXiv:0811.3529 [astro-ph]
  24. 24.
    S. Nojiri, S.D. Odintsov, arXiv:1011.0544v4 [gr-qc]
  25. 25.
    S. Amendola, L. Tsujikawa, Dark Energy: Theory and Observations (Cambridge University Press, Cambridge, 2010), p. 491 zbMATHGoogle Scholar
  26. 26.
    R.R. Caldwell, M. Kamionkowski, Annu. Rev. Nucl. Part. Sci. 59, 397–429 (2009) ADSCrossRefGoogle Scholar
  27. 27.
    D. Weinberg et al., arXiv:1201.2434 [astro-ph.CO]
  28. 28.
    S. Weinberg, Astrophys. J. 168, 175 (1971) ADSCrossRefGoogle Scholar
  29. 29.
    T. Padmanabhan, S.M. Chitre, Phys. Lett. A 120, 433 (1987) ADSCrossRefGoogle Scholar
  30. 30.
    Ø. Grøn, Astrophys. Space Sci. 173, 191 (1990) MathSciNetADSCrossRefGoogle Scholar
  31. 31.
    I. Brevik, L.T. Heen, Astrophys. Space Sci. 219, 99 (1994) ADSzbMATHCrossRefGoogle Scholar
  32. 32.
    M. Cataldo, N. Cruz, S. Lepe, Phys. Lett. B 619, 5 (2005) ADSCrossRefGoogle Scholar
  33. 33.
    I. Brevik, A. Hallanger, Phys. Rev. D 69, 024009 (2004) MathSciNetADSCrossRefGoogle Scholar
  34. 34.
    S. Nojiri, S.D. Odintsov, Phys. Rev. D 72, 023003 (2005) ADSCrossRefGoogle Scholar
  35. 35.
    S. Capozziello et al., Phys. Rev. D 73, 043512 (2006) MathSciNetADSCrossRefGoogle Scholar
  36. 36.
    I. Brevik, J.M. Børven, S. Ng, Gen. Relativ. Gravit. 38, 907 (2006) ADSzbMATHCrossRefGoogle Scholar
  37. 37.
    I. Brevik, O. Gorbunova, Gen. Relativ. Gravit. 37, 2039 (2005) MathSciNetADSzbMATHCrossRefGoogle Scholar
  38. 38.
    B. Li, J.D. Barrow, Phys. Rev. D 79, 103521 (2009) ADSCrossRefGoogle Scholar
  39. 39.
    J. Chen, Y. Wang, arXiv:0904.2808 [gr-qc]
  40. 40.
    C.J. Feng, X.Z. Li, Phys. Lett. B 680, 355 (2009) MathSciNetADSCrossRefGoogle Scholar
  41. 41.
    A.Y. Kamenshchik, U. Moschella, V. Pasquier, Phys. Lett. B 511, 265–268 (2001) ADSzbMATHCrossRefGoogle Scholar
  42. 42.
    J.C. Fabris, S.V.B. Goncalves, R. de Sa Ribeiro, Gen. Relativ. Gravit. 38, 495–506 (2006) ADSzbMATHCrossRefGoogle Scholar
  43. 43.
    X.H. Meng, J. Ren, M. Hu, Commun. Theor. Phys. 47, 379 (2007). arXiv:astro-ph/0509250 ADSCrossRefGoogle Scholar
  44. 44.
    X.H. Meng, X. Dou, Commun. Theor. Phys. 52, 377 (2009). arXiv:1012.3045 [astro.ph.CO] ADSzbMATHCrossRefGoogle Scholar
  45. 45.
    J. Ren, X.H. Meng, Phys. Lett. B 633, 1 (2006) MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    J. Ren, X.H. Meng, Phys. Lett. B 636, 5 (2006). arXiv:astro-ph/0511163 MathSciNetADSCrossRefGoogle Scholar
  47. 47.
    M.G. Hu, X.H. Meng, arXiv:astro-ph/0511615
  48. 48.
    M.G. Hu, X.H. Meng, Phys. Lett. B 635, 186 (2006) MathSciNetADSCrossRefGoogle Scholar
  49. 49.
    I. Brevik, O. Gorbunova, S. Nojiri, S.D. Odintsov, Eur. Phys. J. C 71, 1629 (2011) ADSCrossRefGoogle Scholar
  50. 50.
    S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005). arXiv:hep-th/0501025v2 ADSCrossRefGoogle Scholar
  51. 51.
    J.D. Barrow, Class. Quantum Gravity 21, L79 (2004) MathSciNetADSzbMATHCrossRefGoogle Scholar
  52. 52.
    S. Nojiri, S.D. Odintsov, Phys. Lett. B 595, 1 (2004) ADSCrossRefGoogle Scholar
  53. 53.
    G.L. Murphy, Phys. Rev. D 8, 4231–4233 (1973) ADSCrossRefGoogle Scholar
  54. 54.
    R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003) ADSCrossRefGoogle Scholar
  55. 55.
    P.H. Frampton, K.J. Ludwick, R. Scherrer, Phys. Rev. D 84, 063003 (2011) ADSCrossRefGoogle Scholar
  56. 56.
    P.H. Frampton et al., arXiv:1108.0067v2 [hep-th]
  57. 57.
    P.H. Frampton, K.J. Ludwick, R.J. Scherrer, arXiv:1112.2964 [astro.ph.CO]
  58. 58.
    K. Bamba, R. Myrzakulov, S. Nojiri, S.D. Odintsov, arXiv:1202.4057v2 [physics.gen-ph]
  59. 59.
    I. Brevik, E. Elizalde, S. Nojiri, S.D. Odintsov, Phys. Rev. D 84, 103508 (2011) ADSCrossRefGoogle Scholar
  60. 60.
    R. Amanullah et al., Astrophys. J. 716, 712 (2010). arXiv:1004.1711 [astro-ph.CO] ADSCrossRefGoogle Scholar
  61. 61.
    L. Perivolaropoulos, Phys. Rev. D 71, 063503 (2005) ADSCrossRefGoogle Scholar
  62. 62.
    S. Nesseris, L. Perivolaropoulos, Phys. Rev. D 72, 123519 (2005). arXiv:astro-ph/0511040 ADSCrossRefGoogle Scholar
  63. 63.
    M. Moresco, L. Verde, L. Pozzetti, R. Jimenez, A. Cimatti, arXiv:1201.6658v1 [astro.ph.CO]
  64. 64.
    J. Simon, L. Verde, R. Jimenez, Phys. Rev. D 71, 123001 (2005) ADSCrossRefGoogle Scholar
  65. 65.
    D. Stern, R. Jimenez, L. Verde et al., J. Cosmol. Astropart. Phys. 2, 8 (2010) ADSCrossRefGoogle Scholar
  66. 66.
    M. Moresco, A. Cimatti, R. Jimenez et al., arXiv:1201.3609 [astro-ph.CO]

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  1. 1.Department of PhysicsNankai UniversityTianjinChina
  2. 2.Kavli Institute of Theoretical Physics ChinaCASBeijingChina

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