Advertisement

Oscillations of the F(R) dark energy in the accelerating universe

  • E. Elizalde
  • S. D. Odintsov
  • L. Sebastiani
  • S. Zerbini
Regular Article - Theoretical Physics

Abstract

Oscillations of the F(R) dark energy around the phantom divide line, ω DE=−1, both during the matter era and also in the de Sitter epoch are investigated. The analysis during the de Sitter epoch is revisited by expanding the modified equations of motion around the de Sitter solution. Then, during the matter epoch, the time dependence of the dark energy perturbations is discussed by using two different local expansions. For high values of the red shift, the matter epoch is a stable point of the theory, giving the possibility to expand the F(R)-functions in terms of the dark energy perturbations. In the late-time matter era, the realistic case is considered where dark energy tends to a constant. The results obtained are confirmed by precise numerical computation on a specific model of exponential gravity. A novel and very detailed discussion is provided on the critical points in the matter era and on the relation of the oscillations with possible singularities.

Keywords

Dark Energy Ricci Scalar Dark Energy Density Future Singularity Phantom Divide 
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.

References

  1. 1.
    S. Nojiri, S.D. Odintsov, arXiv:1011.0544 [gr-qc]
  2. 2.
    S. Nojiri, S.D. Odintsov, eConf C0602061, 06 (2006) Google Scholar
  3. 3.
    S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). hep-th/0601213 MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, Berlin, 2010) Google Scholar
  5. 5.
    S. Capozziello, M. de Laurentis, V. Faraoni, arXiv:0909.4672
  6. 6.
    L. Lombriser, A. Slosar, U. Seljak, W. Hu, arXiv:1003.3009
  7. 7.
    S. Ferraro, F. Schmidt, W. Hu, Phys. Rev. D 83, 063503 (2011) ADSCrossRefGoogle Scholar
  8. 8.
    S. Thomas, S. Appleby, J. Weller, J. Cosmol. Astropart. Phys. 1103, 036 (2011) ADSCrossRefGoogle Scholar
  9. 9.
    J. Khoury, B. Ovrut, P. Steinhardt, N. Turok, Phys. Rev. D 64, 123522 (2001) MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    J. Khoury, B. Ovrut, P. Steinhardt, N. Turok, Phys. Rev. D 66, 046005 (2002) MathSciNetADSCrossRefGoogle Scholar
  11. 11.
    P.H. Frampton, K.J. Ludwick, R.J. Scherrer, arXiv:1106.4996
  12. 12.
    P.H. Frampton, K.J. Ludwick, S. Nojiri, S.D. Odintsov, R.J. Scherrer, arXiv:1108.0067
  13. 13.
    I. Brevik, E. Elizalde, S. Nojiri, S.D. Odintsov, arXiv:1107.4642
  14. 14.
    S. Nojiri, S.D. Odintsov, D. Sáez-Gómez, arXiv:1108.0767
  15. 15.
    S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 634, 93 (2006). hep-th/0512118 ADSCrossRefGoogle Scholar
  16. 16.
    S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys. Lett. B 639, 135 (2006). astro-ph/0604431 ADSCrossRefGoogle Scholar
  17. 17.
    H. Motohashi, A.A. Starobinsky, J.’i. Yokoyama, J. Cosmol. Astropart. Phys. 1106, 006 (2011). arXiv:1101.0744 [astro-ph.CO] ADSCrossRefGoogle Scholar
  18. 18.
    K. Bamba, C.Q. Geng, C.C. Lee, J. Cosmol. Astropart. Phys. 1008, 021 (2010). arXiv:1005.4574 [astro-ph.CO] ADSCrossRefGoogle Scholar
  19. 19.
    V. Faraoni, Phys. Rev. D 72, 124005 (2005). arXiv:gr-qc/0511094 MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    G. Cognola, E. Elizalde, S.’i. Nojiri, S.D. Odintsov, S. Zerbini, J. Cosmol. Astropart. Phys. 0502, 010 (2005). hep-th/0501096 MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    J.D. Barrow, A.C. Ottewill, J. Phys. A 16, 2757 (1983) MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    G. Cognola, M. Gastaldi, S. Zerbini, Int. J. Theor. Phys. 47, 898–910 (2008). gr-qc/0701138 MathSciNetMATHCrossRefGoogle Scholar
  23. 23.
    W. Hu, I. Sawicki, Phys. Rev. D 76, 064004 (2007). arXiv:0705.1158 [astro-ph] ADSCrossRefGoogle Scholar
  24. 24.
    G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 77, 046009 (2008). arXiv:0712.4017 [hep-th] ADSCrossRefGoogle Scholar
  25. 25.
    E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 83, 086006 (2011). arXiv:1012.2280 [hep-th] ADSCrossRefGoogle Scholar
  26. 26.
    L. Amendola, R. Gannouji, D. Polarski, S. Tsujikawa, Phys. Rev. D 75, 083504 (2007). gr-qc/0612180 ADSCrossRefGoogle Scholar
  27. 27.
    S.A. Appleby, R.A. Battye, Phys. Lett. B 654, 7 (2007). arXiv:0705.3199 [astro-ph] MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    E. Linder, arXiv:0905.2962
  29. 29.
    L. Yang, C.C. Lee, L.W. Luo, C.Q. Geng, arXiv:1010.2058 [astro-ph.CO]
  30. 30.
    H.W. Lee, K.Y. Kim, Y.S. Myung, arXiv:1106.2865 [hep-th]
  31. 31.
    E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. 180, 330 (2009). arXiv:0803.0547 [astro-ph] ADSCrossRefGoogle Scholar
  32. 32.
    S. Nojiri, S.D. Odintsov, S. Tsujikawa, Phys. Rev. D 71, 063004 (2005). hep-th/0501025 ADSCrossRefGoogle Scholar
  33. 33.
    K. Bamba, S. Nojiri, S.D. Odintsov, J. Cosmol. Astropart. Phys. 0810, 045 (2008). arXiv:0807.2575 [hep-th] ADSCrossRefGoogle Scholar
  34. 34.
    S. Nojiri, S.D. Odintsov, Phys. Rev. D 78, 046006 (2008). arXiv:0804.3519 [hep-th] MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    S. Nojiri, S.D. Odintsov, AIP Conf. Proc. 1241, 1094 (2010). arXiv:0910.1464 [hep-th] ADSCrossRefGoogle Scholar
  36. 36.
    S. Nojiri, S.D. Odintsov, Phys. Lett. B 686, 44 (2010). arXiv:0911.2781 MathSciNetADSCrossRefGoogle Scholar
  37. 37.
    K. Bamba, S.D. Odintsov, L. Sebastiani, S. Zerbini, Eur. Phys. J. C 67, 295 (2010). arXiv:0911.4390 [hep-th] ADSCrossRefGoogle Scholar
  38. 38.
    R. Caldwell, M. Kamionkowski, N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003) ADSCrossRefGoogle Scholar
  39. 39.
    S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003). hep-th/0307288 MathSciNetADSCrossRefGoogle Scholar
  40. 40.
    A.D. Dolgov, M. Kawasaki, Phys. Lett. B 573, 1 (2003). astro-ph/0307285 ADSMATHCrossRefGoogle Scholar
  41. 41.
    V. Faraoni, Phys. Rev. D 74, 104017 (2006). astro-ph/0610734 MathSciNetADSCrossRefGoogle Scholar
  42. 42.
    S. Capozziello, M. De Laurentis, Phys. Rep. 509, 167 (2011) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  • E. Elizalde
    • 1
  • S. D. Odintsov
    • 1
    • 2
    • 3
  • L. Sebastiani
    • 4
    • 5
  • S. Zerbini
    • 4
    • 5
  1. 1.ICE/CSIC and IEEC Campus UAB, Facultat de CiènciesConsejo Superior de Investigaciones CientíficasBellaterra (Barcelona)Spain
  2. 2.Institució Catalana de Recerca i Estudis Avançats (ICREA)TrentoItaly
  3. 3.Tomsk State Pedagogical UniversityTomskRussia
  4. 4.Dipartimento di FisicaUniversità di TrentoTrentoItaly
  5. 5.Gruppo Collegato di TrentoIstituto Nazionale di Fisica NucleareTrentoItaly

Personalised recommendations