Skip to main content
SpringerLink
Log in

Pilgrim dark energy in f(T) gravity

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

Abstract

We discuss the interacting f(T) gravity with pressureless matter in an FRW spacetime. We construct an f(T) model by following the correspondence scheme incorporating a recently developed pilgrim dark energy model and taking the Hubble horizon as the IR cutoff. We use constructed model to discuss the evolution trajectories of the equation-of-state parameter, the ω T -ω′ T phase plane, and state-finder parameters in the evolving universe. It is found that the equation-of-state parameter gives a phantom era of the accelerated universe for some particular range of the pilgrim parameter. The ω T -ω′ T plane represents freezing regions only for an interacting framework, while the ΛCDM limit is attained in the state-finder plane. We also investigate the first and second laws of thermodynamics assuming equal temperatures at and inside the horizon in this scenario. Due to the violation of the first law of thermodynamics in f(T) gravity, we explore the behavior of the entropy production term. The validity of a generalized second law of thermodynamics depends on the present-day value of the Hubble parameter.

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. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, P. G. Castro, S. Deustua, S. Fabbro, A. Goobar, D. E. Groom, I. M. Hook, A. G. Kim, M. Y. Kim, J. C. Lee, N. J. Nunes, R. Pain, C. R. Pennypacker, R. Quimby, C. Lidman, R. S. Ellis, M. Irwin, R. G. McMahon, P. Ruiz-Lapuente, N. Walton, B. Schaefer, B. J. Boyle, A. V. Filippenko, T. Matheson, A. S. Fruchter, N. Panagia, H. J. M. Newberg, W. J. Couch, and The Supernova Cosmology Project, Astrophys. J. 517, 565 (1999); R. R. Caldwell and M. Doran, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 69, 103517 (2004); T. Koivisto and D. F. Mota, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 73, 083502 (2006); S. F. Daniel, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 77, 103513 (2008).

    Article  ADS  Google Scholar 

  2. R. Ferraro and F. Fiorini, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 084031 (2007); G. R. Bengochea and R. Ferraro, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 79, 124019 (2009); E. V. Linder, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 81, 127301 (2010).

    Article  MathSciNet  Google Scholar 

  3. M. Sharif and S. Rani, Phys. Scr. 84, 055005 (2011); M. Sharif and S. Rani, Mod. Phys. Lett. A 26, 1657 (2011); R. J. Yang, Eur. Phys. J. C 71, 1797 (2011); R. Myrzakulov, Eur. Phys. J. C 71, 1752 (2011).

    Article  ADS  Google Scholar 

  4. M. Sharif and S. Rani, Astrophys. Space Sci. 345, 217 (2013).

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. M. Jamil, D. Momeni, R. Myrzakulov, and P. Rudra, J. Phys. Soc. Jpn. 81, 114004 (2012).

    Article  ADS  Google Scholar 

  7. K. Bamba and C. Q. Geng, J. Cosmol. Astropart. Phys. 11, 008 (2011).

    Article  ADS  Google Scholar 

  8. K. Karami and A. Abdolmaleki, J. Cosmol. Astropart. Phys. 04, 007 (2012); K. Bamba, M. Jamil, D. Momeni, and R. Myrzakulov, Astrophys. Space Sci. 344, 259 (2013).

    Article  ADS  Google Scholar 

  9. M. Sharif and S. Rani, Astrophys. Space Sci. 346, 573 (2013).

    Article  ADS  MATH  Google Scholar 

  10. K. Karami and A. Abdolmaleki, Res. Astron. Astrophys. 13, 757 (2013).

    ADS  Google Scholar 

  11. M. H. Daouda, M. E. Rodrigues, and M. J. S. Houndjo, Eur. Phys. J. C 72, 1893 (2012).

    Article  ADS  Google Scholar 

  12. M. U. Farooq, M. Jamil, D. Momeni, and R. Myrzakulov, Can. J. Phys. 91, 703 (2013).

    Article  ADS  Google Scholar 

  13. H. Wei, Classical Quantum Gravity 29, 175008 (2012).

    Article  ADS  Google Scholar 

  14. M. Sharif and A. Jawad, Eur. Phys. J. C 73, 2382 (2013).

    Article  ADS  Google Scholar 

  15. M. Jamil, D. Momeni, and R. Myrzakulov, Eur. Phys. J. C 72, 1959 (2012); M. Jamil, K. Yesmakhanova, D. Momeni, and R. Myrzakulov, Cent. Eur. J. Phys. 10, 1065 (2012).

    Article  ADS  Google Scholar 

  16. C. Feng, B. Wang, E. Abdalla, and R. K. Su, Eur. Phys. J. C 58, 111 (2008).

    Article  Google Scholar 

  17. R. G. Cai and Q. Su, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 81, 103514 (2010).

    Article  Google Scholar 

  18. C.-Y. Sun and R.-H. Yue, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 85, 043010 (2012).

    Article  Google Scholar 

  19. M. Li, Phys. Lett. B 603, 1 (2004).

    Article  ADS  Google Scholar 

  20. A. Cohen, D. Kaplan, and A. Nelson, Phys. Rev. Lett. 82, 4971 (1999).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. C. Gao, X. Chen, and Y. G. Shen, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 79, 043511 (2009); L. Granda and A. Oliveros, Phys. Lett. B 669, 275 (2008); S. Chen and J. Jing, Phys. Lett. B 679, 144 (2009); M. Sharif and A. Jawad, Eur. Phys. J. C 72, 2097 (2012).

    Article  Google Scholar 

  22. E. Babichev, V. Dokuchaev, and Y. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004); P. Martin-Moruno, Phys. Lett. B 659, 40 (2008).

    Article  ADS  Google Scholar 

  23. S. D. H. Hsu, Phys. Lett. B 669, 275 (2008).

    Article  Google Scholar 

  24. A. Sheykhi, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 84, 107302 (2011).

    Article  Google Scholar 

  25. S. Capozziello, V. F. Cardone, H. Farajollahi, and A. Ravanpak, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 84, 043527 (2011).

    Article  Google Scholar 

  26. L. P. Chimento, M. Forte, and M. G. Richarte, Mod. Phys. Lett. A 28, 1250235 (2013).

    Article  ADS  Google Scholar 

  27. R. R. Caldwell and E. V. Linder, Phys. Rev. Lett. 95, 141301 (2005).

    Article  ADS  Google Scholar 

  28. Z. K. Guo, Y. S. Piao, X. M. Zhang, and Y. Z. Zhang, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 74, 127304 (2006).

    Article  Google Scholar 

  29. T. Chiba, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 73, 063501 (2006).

    Article  Google Scholar 

  30. R. J. Scherrer, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 73, 043502 (2006).

    Article  Google Scholar 

  31. M. R. Setare, J. Zhang, and X. Zhang, J. Cosmol. Astropart. Phys. 03, 007 (2007).

    Article  ADS  Google Scholar 

  32. V. Sahni, T. D. Saini, A. A. Starobinsky, and U. Alam, JETP Lett. 77(5), 201 (2003).

    Article  ADS  Google Scholar 

  33. K. Bamba and C. Q. Geng, J. Cosmol. Astropart. Phys. 06, 014 (2010).

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. R. X. Miao, M. Lib, and Y. G. Miaoc, J. Cosmol. Astropart. Phys. 11, 033 (2011).

    Article  ADS  Google Scholar 

  36. R. G. Cai and S. P. Kim, J. High Energy Phys. 02, 050 (2005); J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973); G. W. Gibbons and S. W. Hawking, Phys. Rev. D: Part., Fields 15, 2738 (1977).

    Article  ADS  MathSciNet  Google Scholar 

  37. K. Bamba, C. Q. Geng, and T. Tsujikawa, Phys. Lett. B 688, 101 (2010).

    Article  ADS  Google Scholar 

  38. S. A. Hayward, Classical Quantum Gravity 15, 3147 (1998); R. G. Cai and L. M. Cao, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 064008 (2007).

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan

    M. Sharif & S. Rani

Authors
  1. M. Sharif
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Rani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Sharif.

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

Sharif, M., Rani, S. Pilgrim dark energy in f(T) gravity. J. Exp. Theor. Phys. 119, 75–82 (2014). https://doi.org/10.1134/S1063776114070152

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776114070152

Keywords

Search

Navigation