Skip to main content
SpringerLink
Log in

Modified f(G) gravity models with curvature–matter coupling

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss–Bonnet term. The field equations and the equations of motion corresponding to this model show the non-conservation of the energy-momentum tensor, the presence of an extra force acting on test particles and non-geodesic motion. Moreover, the energy conditions and the stability criterion at the de Sitter point in modified f(G) gravity models with curvature–matter coupling are derived, which can degenerate to the well-known energy conditions in general relativity. Furthermore, in order to get some insight in the meaning of these energy conditions, we apply them to the specific models of f(G) gravity and the corresponding constraints on the models are given. In addition, the conditions and the candidate for late-time cosmic accelerated expansion in modified f(G) gravity are studied by means of conditions of power-law expansion and the equation of state of matter ω smaller than \(-\frac{1}{3}\).

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753–1936 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. V. Faraoni, Cosmology in Scalar-Tensor Gravity (Kluwer Academic, Dordrecht, 2004)

    MATH  Google Scholar 

  6. Dvali et al., Phys. Lett. B 485, 208 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. R. Maartens, Living Rev. Relativ. 7, 7 (2004)

    ADS  Google Scholar 

  8. J.D. Bekenstein, Phys. Rev. D 70, 083509 (2004)

    Article  ADS  Google Scholar 

  9. T. Jacobson, D. Mattingly, Phys. Rev. D 64, 024028 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  10. A.D. Felice, S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010)

    ADS  Google Scholar 

  11. S.M. Carroll, V. Duvvuri, M. Trodden, M.S. Turner, Phys. Rev. D 70, 043528 (2004)

    Article  ADS  Google Scholar 

  12. S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys. Lett. B 639, 135 (2006)

    Article  ADS  Google Scholar 

  13. L. Amendola, D. Polarskiand, S. Tsujikawa, Phys. Rev. Lett. 98, 131302 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  14. S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys. Lett. B 639, 135 (2006)

    Article  ADS  Google Scholar 

  15. S. Nojiri, S.D. Odintsov, Phys. Rev. D 74, 086005 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  16. J. Santos, J.S. Alcaniz, M.J. Reboucas, F.C. Carvalho, Phys. Rev. D 76, 083513 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  17. S. Nojiri, S.D. Odintsov, Phys. Lett. B 652, 343 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  18. S. Tsujikawa, Phys. Rev. D 77, 023507 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  19. O. Bertolami, C.G. Boehmer, T. Harko, F.S.N. Lobo, Phys. Rev. D 75, 104016 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  20. O. Bertolami, F.S.N. Lobo, J. Paramos, Phys. Rev. D 78, 064036 (2008)

    Article  ADS  Google Scholar 

  21. O. Bertolami, J. Paramos, Phys. Rev. D 77, 084018 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  22. O. Bertolami, M.C. Sequeira, Phys. Rev. D 79, 104010 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  23. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451–497 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  24. S. Nojiri, S.D. Odintsov, ECONF C0602061, 06 (2006)

    Google Scholar 

  25. S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115–146 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  26. S. Capozziello, Int. J. Mod. Phys. D 11, 483 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 36, 1765–1780 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. A.D. Dolgov, M. Kawasaki, Phys. Lett. B 573, 1 (2003)

    Article  ADS  MATH  Google Scholar 

  29. V. Faraoni, Phys. Rev. D 74, 104017 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  30. V. Faraoni, Phys. Rev. D 76, 127501 (2007)

    Article  ADS  Google Scholar 

  31. T. Harko, Phys. Lett. B 669, 376–379 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  32. J. Wang, Y.B. Wu et al., Phys. Lett. B 689, 133 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  33. J. Wang, Y.B. Wu et al., Eur. Phys. J. C 69, 541–546 (2010)

    Article  ADS  Google Scholar 

  34. S. Nojiri, S.D. Odintsov, Phys. Lett. B 631, 1 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  35. G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, Phys. Rev. D 73, 084007 (2006)

    Article  ADS  Google Scholar 

  36. G. Cognola, E. Elizalde, S. Nojiri, S.D. Odintsov, S. Zerbini, Phys. Rev. D 75, 086002 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  37. B.J. Li, J.D. Barrow, D.F. Mota, Phys. Rev. D 76, 044027 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  38. M. Alimohammadi, A. Ghalee, Phys. Rev. D 79, 063006 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  39. C.G. Boehmer, F.S.N. Lobo, Phys. Rev. D 79, 067504 (2009)

    Article  ADS  Google Scholar 

  40. S.Y. Zhou, E.J. Copeland, P.M. Saffin, J. Cosmol. Astropart. Phys. 0907, 009 (2009)

    Article  ADS  Google Scholar 

  41. N. Goheer, R. Goswami, P.K.S. Dunsby, K. Ananda, Phys. Rev. D 79, 121301 (2009)

    Article  ADS  Google Scholar 

  42. J. Sadeghi, M.R. Setare, A. Banijamali, Phys. Lett. B 679, 302 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  43. S. Nojiri, S.D. Odintsov, P.V. Tretyakov, Prog. Theor. Phys. Suppl. 172, 81 (2008)

    Article  ADS  MATH  Google Scholar 

  44. K. Bamba, S.D. Odintsov, L. Sebastiani, S. Zerbini, Eur. Phys. J. C 67, 295 (2010)

    Article  ADS  Google Scholar 

  45. A.D. Felice, S. Tsujikawa, Phys. Lett. B 675, 1–8 (2009)

    Article  ADS  Google Scholar 

  46. A.D. Felice, S. Tsujikawa, Phys. Rev. D 80, 063516 (2009)

    Article  ADS  Google Scholar 

  47. N.M. Garcia, T. Harko, F.S.N. Lobo, J.P. Mimoso, Phys. Rev. D 83, 104032 (2011)

    Article  ADS  Google Scholar 

  48. B.J. Li, D.B. John, F.M. David, Phys. Rev. D 76, 044027 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  49. J.H. Kung, Phys. Rev. D 52, 6922 (1995)

    Article  ADS  Google Scholar 

  50. J.H. Kung, Phys. Rev. D 53, 3017 (1995)

    Article  ADS  Google Scholar 

  51. S.E.P. Bergliaffa, Phys. Lett. B 642, 311 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  52. S.W. Hawking, G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973)

    Book  MATH  Google Scholar 

  53. M. Visser, Class. Quantum Gravity 21, 2603 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. M. Visser, Gen. Relativ. Gravit. 37, 1541 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  55. E.R. Harrison, Nature 260, 591 (1976)

    Article  ADS  Google Scholar 

  56. P. Landsberg, Nature 263, 217 (1976)

    Article  ADS  Google Scholar 

  57. E. Komatsu et al., Astrophys. J. Suppl. 180, 330–376 (2007)

    Article  ADS  Google Scholar 

  58. D. Rapetti, S.W. Allen, M.A. Amin, R.D. Blandford, Mon. Not. R. Soc. 375, 1510 (2007)

    Article  ADS  Google Scholar 

  59. Y.B. Wu, J. He, C. Wang, D. Wang, Mod. Phys. Lett. A 24, 63 (2009)

    Article  ADS  MATH  Google Scholar 

  60. T.P. Sotiriou, V. Faraoni, Class. Quantum Gravity 25, 205002 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  61. O. Bertolami, J. Paramos, Class. Quantum Gravity 25, 245017 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  62. A.D. Dolgov, M. Kawasaki, Phys. Lett. B 573, 1 (2003)

    Article  ADS  MATH  Google Scholar 

  63. O. Bertolami, T. Harko, F.S.N. Lobo, J. Paramos, arXiv:0811.2876 [gr-qc]

  64. J.D. Brown, Class. Quantum Gravity 10, 1579 (1993)

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Liaoning Normal University, Dalian, 116029, P.R. China

    Yue-Yue Zhao, Ya-Bo Wu, Jian-Bo Lu, Zhuo Zhang, Wei-Li Han & Liang-Liang Lin

Authors
  1. Yue-Yue Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ya-Bo Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jian-Bo Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhuo Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Wei-Li Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Liang-Liang Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ya-Bo Wu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, YY., Wu, YB., Lu, JB. et al. Modified f(G) gravity models with curvature–matter coupling. Eur. Phys. J. C 72, 1924 (2012). https://doi.org/10.1140/epjc/s10052-012-1924-2

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1924-2

Keywords

Search

Navigation