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Behaviour of f(T) dark energy model in fractal cosmology

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Abstract.

The f(T) modified gravity model is considered in the framework of fractal space-time. Assuming only the time has a fractal profile while the other spatial coordinates have their normal geometrical descriptions, the Hubble parameter, H, the dark energy density, \( \rho\), the deceleration parameter, q, the pressure P, and state finder parameters r and s are reconstructed for our model. It is interesting to mention here that all the results are consistent with the recent present observations.

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References

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

    Article  ADS  Google Scholar 

  2. L. Amendola, S. Tsujikawa, Dark energy theory and observation (Cambridge 2010)

  3. J. Edmund, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  MATH  ADS  Google Scholar 

  4. S. Tsujikawa, Astrophys. Space Sci. 370, 331 (2011)

    Article  Google Scholar 

  5. B. Ratra, P. Peebles, Phys. Rev. D 37, 3406 (1988)

    Article  ADS  Google Scholar 

  6. C.A. Picon, V.F. Mukhanov, P.J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  7. K. Bamba et al., J. Astrophys. Space Sci. 342, 155 (2012)

    Article  ADS  Google Scholar 

  8. Ayman. A. Aly, Eur. Phy. J. Plus 130, 4 (2015)

    Article  Google Scholar 

  9. J.G. Silva, A.F. Santos, Eur. Phys. J. C 73, 2500 (2013)

    Article  ADS  Google Scholar 

  10. R. Myrzakulov, S. Gomez, D. Tureanu, Gen. Relativ. Gravit. 43, 1671 (2011)

    Article  MATH  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. E. Kiritsis, G. Kofinas, Nucl. Phys. B 821, 467 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. K. Bamba, C.-Q. Geng, JCAP 11, 008 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. M. Jamil, D. Momeni, R. Myrzakulov, Eur. Phys. J. C 73, 2267 (2013)

    Article  ADS  Google Scholar 

  19. M. Jamil, D. Momeni, R. Myrzakulov, Gen. Relativ. Gravit. 45, 263 (2013)

    Article  MATH  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. A. Sheykhi, Z. Teimoori, B. Wang, Phys. Lett. B 718, 1203 (2013)

    Article  ADS  Google Scholar 

  22. M. Salti, M. Korunur, I. Acikgoz, Eur. Phys. J. plus 129, 95 (2014)

    Article  Google Scholar 

  23. Gianluca Calcagni, Phys. Rev. Lett. 104, 251301 (2010)

    Article  Google Scholar 

  24. Gianluca Calcagni, Adv. Theor. Math. 16, 549 (2012)

    Article  MATH  Google Scholar 

  25. Gianluca Calcagni, JHEP 01, 065 (2012)

    Article  Google Scholar 

  26. Gianluca Calcagni, JCAP 12, 041 (2013)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Physics department, Faculty of science, Damnhour University, Damnhour, Egypt

    Ayman A. Aly

  2. Theoretical Research Group, Physics department, Faculty of science, Dameitta University, 34517, New Damietta City, Egypt

    M. M. Selim

Authors
  1. Ayman A. Aly
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  2. M. M. Selim
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Correspondence to Ayman A. Aly.

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Aly, A., Selim, M.M. Behaviour of f(T) dark energy model in fractal cosmology. Eur. Phys. J. Plus 130, 164 (2015). https://doi.org/10.1140/epjp/i2015-15164-7

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  • DOI: https://doi.org/10.1140/epjp/i2015-15164-7

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