Skip to main content
SpringerLink
Log in

New types of f(T) gravity

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

Abstract

Recently f(T) theories based on modifications of teleparallel gravity, where torsion is the geometric object describing gravity instead of curvature, have been proposed to explain the present cosmic accelerating expansion. The field equations are always second order, remarkably simpler than f(R) theories. In analogy to the f(R) theory, we consider here three types of f(T) gravity, and find that all of them can give rise to cosmic acceleration with interesting features, respectively.

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. S.M. Carroll, Living Rev. Relativ. 4, 1 (2001)

    ADS  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. R.-J. Yang, S.N. Zhang, Mon. Not. R. Astron. Soc. 407, 1835 (2010)

    Article  ADS  Google Scholar 

  4. S. Capozziello, M. De Laurentis, arXiv:1108.6266. doi:10.1016/j.physrep.2011.09.003

  5. A. De Felice, S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010)

    ADS  Google Scholar 

  6. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. S. Capozziello, M. Francaviglia, Gen. Relativ. Gravit. 40, 357 (2008)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. A. Silvestri, M. Trodden, Rep. Prog. Phys. 72, 096901 (2009)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. R. Ferraro, F. Fiorini, Phys. Rev. D 78, 124019 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  11. R. Ferraro, F. Fiorini, Phys. Rev. D 75, 084031 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  12. G.R. Bengochea, R. Ferraro, Phys. Rev. D 79, 124019 (2009)

    Article  ADS  Google Scholar 

  13. E.V. Linder, Phys. Rev. D 81, 127301 (2010)

    Article  ADS  Google Scholar 

  14. R. Myrzakulov, Eur. Phys. J. C 71, 1752 (2011)

    Article  ADS  Google Scholar 

  15. K. Bamba, C.-Q. Geng, C.-C. Lee, L.-W. Luo, J. Cosmol. Astropart. Phys. 01, 021 (2011)

    Article  ADS  Google Scholar 

  16. R.-J. Yang, Europhys. Lett. 93, 60001 (2011)

    Article  ADS  Google Scholar 

  17. G.R. Bengochea, Phys. Lett. B 695, 405 (2011)

    Article  ADS  Google Scholar 

  18. P. Wu, H. Yu, Phys. Lett. B 693, 415 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  19. Y. Zhang, H. Li, Y. Gong, Z.-H. Zhu, J. Cosmol. Astropart. Phys. 07, 015 (2011)

    Article  ADS  Google Scholar 

  20. H. Wei, X.-P. Ma, H.-Y. Qi, Phys. Lett. B 703, 74 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. J.B. Dent, S. Dutta, E.N. Saridakis, J. Cosmol. Astropart. Phys. 01, 009 (2011)

    Article  ADS  Google Scholar 

  23. S.-H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Phys. Rev. D 83, 023508 (2011)

    Article  ADS  Google Scholar 

  24. R. Zheng, Q.-G. Huang, J. Cosmol. Astropart. Phys. 03, 002 (2011)

    Article  ADS  Google Scholar 

  25. Y.-F. Cai, S.-H. Chen, J.B. Dent, S. Dutta, E.N. Saridakis, Class. Quantum Gravity 28, 215011 (2011)

    Article  ADS  Google Scholar 

  26. X.-h. Meng, Y.-b. Wang, Phys. Rev. D 84, 024042 (2011)

    Article  ADS  Google Scholar 

  27. T. Wang, arXiv:1102.4410

  28. C. Deliduman, B. Yapiskan, arXiv:1103.2225

  29. S. Capozziello, V.F. Cardone, H. Farajollahi, A. Ravanpak, Phys. Rev. D 84, 043527 (2011)

    Article  ADS  Google Scholar 

  30. B. Li, T.P. Sotiriou, J.D. Barrow, Phys. Rev. D 83, 064035 (2011)

    Article  ADS  Google Scholar 

  31. T.P. Sotiriou, B. Li, J.D. Barrow, Phys. Rev. D 83, 104030 (2011)

    Article  ADS  Google Scholar 

  32. R. Ferraro, F. Fiorini, Phys. Lett. B 702, 75 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  33. A. Saveliev, L. Maccione, G. Sigl, J. Cosmol. Astropart. Phys. 03, 046 (2011)

    Article  ADS  Google Scholar 

  34. A. Einstein, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. K1. 217 (1928); 224 (1928)

  35. A. Einstein, Math. Ann. 102, 685 (1930)

    Article  MathSciNet  Google Scholar 

  36. K. Hayashi, T. Shirafuji, Phys. Rev. D 19, 3524 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  37. J.W. Maluf, J. Math. Phys. 35, 335 (1994)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  38. H. Arcos, J. Pereira, Int. J. Mod. Phys. D 13, 2193 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  39. T. Chiba, Phys. Lett. B 575, 1 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  40. G.J. Olmo, Phys. Rev. Lett. 95, 261102 (2005)

    Article  ADS  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  42. L. Amendola, D. Polarski, S. Tsujikawa, Phys. Rev. Lett. 98, 131302 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  43. S. Nojiri, S.D. Odintsov, Phys. Rev. D 68, 123512 (2003)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  45. A. Melchiorri, L. Pagano, S. Pandolfi, Phys. Rev. D 76, 041301(R) (2007)

    ADS  Google Scholar 

  46. A.A. Starobinsky, JETP Lett. 86, 157 (2007)

    Article  ADS  Google Scholar 

  47. H. Motohashi, A.A. Starobinsky, J. Yokoyama, Int. J. Mod. Phys. D 20, 1347 (2011)

    Article  ADS  Google Scholar 

  48. W. Hu, I. Sawicki, Phys. Rev. D 76, 064004 (2007)

    Article  ADS  Google Scholar 

  49. S. Capozziello, S. Tsujikawa, Phys. Rev. D 77, 107501 (2008)

    Article  ADS  Google Scholar 

  50. S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 41, 2313 (2009)

    Article  MATH  ADS  Google Scholar 

  51. S. Capozziello, R. Cianci, M. De Laurentis, S. Vignolo, Eur. Phys. J. C 70, 34 (2010)

    Article  Google Scholar 

  52. S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov, Phys. Rev. D 79, 124007 (2009)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Physical Science and Technology, Hebei University, Baoding, 071002, China

    Rong-Jia Yang

Authors
  1. Rong-Jia Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rong-Jia Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, RJ. New types of f(T) gravity. Eur. Phys. J. C 71, 1797 (2011). https://doi.org/10.1140/epjc/s10052-011-1797-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-011-1797-9

Keywords

Search

Navigation