Skip to main content
SpringerLink
Log in

Dark-energy cosmological models in f(G) gravity

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We discuss dark-energy cosmological models in f(G) gravity. For this purpose, a locally rotationally symmetric Bianchi type I cosmological model is considered. First, exact solutions with a well-known form of the f(G) model are explored. One general solution is discussed using a power-law f(G) gravity model and physical quantities are calculated. In particular, Kasner’s universe is recovered and the corresponding f(G) gravity models are reported. Second, the energy conditions for the model under consideration are discussed using graphical analysis. It is concluded that solutions with f(G) = G 5/6 support expansion of universe while those with f(G) = G 1/2 do not favor the current expansion.

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. P. A. R. Ade et al., Astron. Astrophys. A 16, 1 (2015).

    Google Scholar 

  2. S. Nojiri and S. D. Odintsov, Phys. Rev. D 70, 103522 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  3. T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, Phys. Rev. D 84, 024020 (2011).

    Article  ADS  Google Scholar 

  4. S. A. Appleby and R. A. Battye, Phys. Lett. B 654, 7 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  5. K. Bamba, S. Nojiri, and S. D. Odintsov, J. Cosmol. Astropart. Phys. 0810, 045 (2008)

    Article  ADS  Google Scholar 

  6. S. A. Appleby, R. A. Battye, and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 1006, 005 (2010).

    Article  ADS  Google Scholar 

  7. A. D. Felice and S. Tsujikawa, Living Rev. Rel. 13, 3 (2010).

    Google Scholar 

  8. K. Bamba, S. Capozziello, S. Nojiri, and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012).

    Article  ADS  Google Scholar 

  9. T. Chiba, T. L. Smith, and A. L. Erickcek, Phys. Rev. D 75, 124014 (2007).

    Article  ADS  Google Scholar 

  10. S. Nojiri and S. D. Odintsov, J. Phys.: Conf. Ser. 66, 012005 (2007).

    ADS  Google Scholar 

  11. S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  12. S. Capozziello and M. D. Laurentis, Phys. Rep. 509, 167 (2011).

    Article  ADS  MathSciNet  Google Scholar 

  13. K. Bamba, C. Q. Geng, C. C. Lee, and L. W. Luo, J. Cosmol. Astropart. Phys. 1101, 021 (2011).

    Article  ADS  Google Scholar 

  14. B. Li, T. P. Sotiriou, and J. D. Barrow, Phys. Rev. D 83, 104017 (2011).

    Article  ADS  Google Scholar 

  15. M. Jamil, D. Momeni, and R. Myrzakulov, Eur. Phys. J. CC 72, 1959 (2012)

    Article  ADS  Google Scholar 

  16. M. Jamil, D. Momeni, and R. Myrzakulov, Eur. Phys. J. C 72, 2075 (2012)

    Article  ADS  Google Scholar 

  17. M. Jamil, D. Momeni, and R. Myrzakulov, Eur. Phys. J. C 72, 2122 (2012).

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  21. T. Chiba, J. Cosmol. Astropart. Phys. 03, 008 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  22. M. Sharif and H. I. Fatima, Mod. Phys. Lett. A 30, 1550142 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  23. V. Fayaz, H. Hossienkhani, and A. Mohammadi, Astrophys. Space Sci. 357, 136 (2015).

    Article  ADS  Google Scholar 

  24. M. J. S. Houndjo, M. E. Rodrigues, D. Momeni, and R. Myrzakulov, Can. J. Phys. 92, 1528 (2014).

    Article  ADS  Google Scholar 

  25. M. E. Rodrigues, M. J. S. Houndjo, D. Momeni, and R. Myrzakulov, Can. J. Phys. 92, 173 (2014).

    Article  Google Scholar 

  26. M. Sharif and H. I. Fatima, J. Exp. Theor. Phys. 122, 104 (2016).

    Article  ADS  Google Scholar 

  27. M. Sharif and H. I. Fatima, Int. J. Mod. Phys. D 25, 1650011 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  28. M. Sharif and A. Ikram, arXiv:1507.00905.

  29. B. Wu and B. Ma, Phys. Rev. D 92, 044012 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  30. M. Laurentis, M. Paolella, and S. Capozziello, Phys. Rev. D 91, 083531 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  31. A. D. Felice, T. Suyama, and T. Tanaka, Phys. Rev. D 83, 104035 (2011).

    Article  ADS  Google Scholar 

  32. L. Sebastiani, Springer Proc. Phys. 137, 261 (2011).

    Article  MathSciNet  Google Scholar 

  33. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space–Time (Cambridge Univ. Press, Cambridge, 1973).

    Book  MATH  Google Scholar 

  34. M. Visser, Science 276, 88 (1997).

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  37. L. Balart and E. C. Vagenas, Phys. Lett. B 730, 14 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  38. N. M. Garcia, T. Harko, F. S. N. Lobo, and J. P. Mimoso, J. Phys.: Conf. Ser. 314, 012060 (2011).

    ADS  Google Scholar 

  39. K. Atazadeh and F. Darabi, Gen. Rel. Grav. 46, 1664 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  40. R. Kantowski and R. K. Sachs, J. Math. Phys. 7, 443 (1966).

    Article  ADS  MathSciNet  Google Scholar 

  41. C. B. Collins, Phys. Lett. A 60, 397 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  42. K. S. Thorne, Astrophys. J. 148, 51 (1967).

    Article  ADS  Google Scholar 

  43. C. B. Collins and S. W. Hawking, Astrophys. J. 180, 317 (1973).

    Article  ADS  MathSciNet  Google Scholar 

  44. S. R. Roy and S. K. Banerjee, Class. Quantum Grav. 11, 1943 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  45. W. Xing-Xiang, Chin. Phys. Lett. 22, 29 (2005).

    Article  ADS  Google Scholar 

  46. R. Bali and P. Kumawat, Phys. Lett. B 665, 332 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  47. M. Sharif and M. Zubair, Astrophys. Space Sci. 330, 399 (2010).

    Article  ADS  Google Scholar 

  48. S. Nojiri, S. D. Odintsov, and P. V. Tretyakov, Progr. Theor. Phys. Suppl. 172, 81 (2008).

    Article  ADS  Google Scholar 

  49. G. Cognola, M. Gastaldi, and S. Zerbini, Int. J. Theor. Phys. 47, 898 (2008).

    Article  MathSciNet  Google Scholar 

  50. A. D. Felice and S. Tsujikawa, Phys. Lett. B 675, 1 (2009).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. S. Tsujikawa, Lect. Notes Phys. 800, 99 (2010).

    Article  ADS  Google Scholar 

  53. M. F. Shamir, Eur. Phys. J. C 75, 354 (2015).

    Article  ADS  Google Scholar 

  54. M. F. Shamir, Astrophys. Space Sci. 361, 147 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  55. M. Cataldo and S. D. Campo, Phys. Rev. D 61, 128301 (2000).

    Article  ADS  Google Scholar 

  56. J. Hogan, Nature 448, 240 (2007).

    Article  ADS  Google Scholar 

  57. P. S. Corasaniti et al., Phys. Rev. D 70, 083006 (2004).

    Article  ADS  Google Scholar 

  58. J. Weller and A. M. Lewis, Mon. Not. Astron. Soc. 346, 987 (2003).

    Article  ADS  Google Scholar 

  59. W. Kim and M. S. Yoon, J. Korean Phys. Soc. 50, 941 (2007).

    Article  ADS  Google Scholar 

  60. A. A. Starobinsky, Grav. Cosmol. 6, 157 (2000).

    ADS  Google Scholar 

  61. R. R. Caldwell, Phys. Lett. B 545, 23 (2002).

    Article  ADS  Google Scholar 

  62. S. Myrzakul, R. Myrzakulov, and L. Sebastiani, Eur. Phys. J. C 75, 111 (2015).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Sciences and Humanities, National University of Computer and Emerging Sciences Lahore Campus, Islamabad, Pakistan

    M. F. Shamir

Authors
  1. M. F. Shamir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. F. Shamir.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shamir, M.F. Dark-energy cosmological models in f(G) gravity. J. Exp. Theor. Phys. 123, 607–616 (2016). https://doi.org/10.1134/S1063776116110182

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776116110182

Search

Navigation