Skip to main content
Log in

Accelerated expansion of an anisotropic Brans–Dicke cosmology from nonlinear derivative interaction and Gauss–Bonnet invariant

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

The study of Brans–Dicke cosmology has attracted considerable attention in the recent years since it explains most of the important features of the progress of the universe. We discuss in this letter a homogeneous and anisotropic cosmological model in the framework of Brans–Dicke theory including together a non-linear derivative interaction which appears in theory with the Galilean shift symmetry, a Gauss–Bonnet invariant motivated from heterotic string theory which plays an important role in numerous alternatives cosmological frameworks, two scalar fields and their interactions to fit easier with universe history expansion. Several particular cases are studied and the properties related to scaling solutions and asymptotic behaviour are discussed in some details.

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. Sahoo B.K., Singh L.P.: Mod. Phys. Lett. A 17, 2409 (2002)

    Article  MATH  ADS  Google Scholar 

  2. El-Nabulsi A.R.: Mod. Phys. Lett. A 23(6), 40 (2008)

    Article  MathSciNet  Google Scholar 

  3. Nojiri, S., Odintsov, S.D.: IJGMMP4, 115 (2007)

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

    Article  MathSciNet  ADS  Google Scholar 

  5. Sandvik H., Tegmark M., Zaldarriaga M., Waga I.: Phys. Rev. D 69, 123524 (2004)

    Article  ADS  Google Scholar 

  6. El-Nabulsi A.R.: Int. J. Mod. Phys. D 18(2), 289 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. El-Nabulsi A.R.: Int. J. Mod. Phys. D 18(15), 691 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Silva, F.P., Koyama, K.: arXiv: 0909.4538

  9. Dvali G.R., Gabadadze G., Porrati M.: Phys. Lett. B 484, 112 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  10. Dvali G.R., Gabadadze G., Porrati M.: Phys. Lett. B 485, 208 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. El-Nabulsi, A.R.: Gen. Relativ. Gravit. doi:10.1007/s10714-009-0911-x (2009)

  12. Barrow J.D.: Phys. Rep. 85(1), 1 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  13. Bojowald M.: Class. Quantum Grav. 20(13), 2595 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. Damour T., Henneaux M.: Phys. Rev. Lett. 85(5), 920 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Damour T., Henneaux M., Nicolai H.: Class. Quantum Grav. 20, 020 (2003)

    Article  MathSciNet  Google Scholar 

  16. Benini R., Montani G.: Class. Quantum Grav. 24, 387 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. Benini, R.: PhD thesis, Facolta’ di scienze matematiche, Fisiche e naturali, Universita’ Degli Studi di Bologna “Alma Mater Studiorum” (2006)

  18. Demianski M. et al.: Phys. Rev. D 35(4), 1181 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  19. El-Nabulsi, A.R.: Commun. Theor. Phys. (2009, in press)

  20. El-Nabulsi A.R.: Chin. Phys. Lett. 25(8), 2785 (2008)

    Article  ADS  Google Scholar 

  21. El-Nabulsi A.R.: Astrophys. Space Scie. 325(2), 277 (2019)

    Article  ADS  Google Scholar 

  22. El-Nabulsi A.R.: Astrophys. Space Scie. 325(2), 149 (2010)

    Article  MATH  ADS  Google Scholar 

  23. El-Nabulsi A.R.: Astrophys. Space Sci. 324(1), 71 (2009)

    Article  ADS  Google Scholar 

  24. El-Nabulsi, A.R.: Astrophys. Space Sci. doi:10.1007/s10509-009-0259-4

  25. El-Nabulsi, A.R.: Astrophys. Space Sci. doi:10.1007/s10509-009-0262-9

  26. El-Nabulsi A.R.: Fizika B 17(4), 455 (2009)

    Google Scholar 

  27. El-Nabulsi, A.R.: Braz. J. Phys. (in press)

  28. El-Nabulsi A.R.: Chin. Phys. Lett. 25(8), 2785 (2008)

    Article  ADS  Google Scholar 

  29. Nojiri S., Odintsov S.D., Gorbunova O.G.: J. Phys. A 39, 6627 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  30. Bhowmik B.B.: Indian J. Pure Appl. Math. 31(1), 903 (2000)

    MATH  MathSciNet  Google Scholar 

  31. Peebles P.J.E.: Astrophys. J. 325, L17 (1988)

    Article  ADS  Google Scholar 

  32. Ratra B., Peebles P.J.E.: Phys. Rev. D 37, 3406 (1988)

    Article  ADS  Google Scholar 

  33. Wetterich C.: Nucl. Phys. B 302, 668 (1988)

    Article  ADS  Google Scholar 

  34. Zlatev I., Wang L., Steinhardt P.J.: Phys. Rev. Lett. 82, 896 (1999)

    Article  ADS  Google Scholar 

  35. Steinhardt P.J., Wang L., Zlatev I.: Phys. Rev. D 59, 123504 (1999)

    Article  ADS  Google Scholar 

  36. Kassal, H.K.: arXiv:0910.1906

  37. Freedman W.L., Turner M.S.: Rev. Mod. Phys. 75, 1433 (2003)

    Article  ADS  Google Scholar 

  38. Amendola L., Baldi M., Wetterich C.: Phys. Rev. D 78, 023015 (2008)

    Article  ADS  Google Scholar 

  39. Blaschke, D., Dabrowski, M.P.: hep-th/0407078

  40. Ray S., Mukhopadhyay, Ghosh, P.P.: arXiv:0705.1836 and references therein

  41. Koivisto, T., Mota, D.F.: JCAP0806, 0.18 (2008)

  42. Koivisto, T.M.: Formation of structure in dark energy cosmologies, PhD thesis, Helsinki Institute of Physics and Division of Theoretical Physics, University of Helsinki, Finland (2008)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ahmad Rami El-Nabulsi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

El-Nabulsi, A.R. Accelerated expansion of an anisotropic Brans–Dicke cosmology from nonlinear derivative interaction and Gauss–Bonnet invariant. Gen Relativ Gravit 42, 1875–1887 (2010). https://doi.org/10.1007/s10714-010-0966-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-010-0966-8

Keywords

Navigation