Document Type : Original Article

Authors

Department of Physics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Mazandaran, Iran

Abstract

In this paper, the model of the new agegraphic is considered as an alternative to the teleparallel modified gravity model. First, we obtain the Friedman equations by taking dark matter and dark energy based on the existence of the bulk viscosity in the flat Friedmann–Robertson–Walker metric. So, we obtain the cosmological parameters and the function f(T) by using the power law of the scale factor and the correspondence between the agegraphic model and teleparallel gravity. By plotting the variety of the dark energy equation of state versus the redshift parameter, we describe the accelerated expansion of the universe. Finally, we investigate the stability condition by using the function of sound speed, finding the energy-weak constraints for free parameters.

Keywords

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

  2. S Perlmutter et al., Astrophys. J. 517 (1999) 565.

  3. D N Spergel et al., [WMAP Collaboration], Astrophys. J. Suppl. 148  (2003) 175.

  4. M Tegmark et al., [SDSS Collaboration], Phys. Rev. D 69 (2004) 103501.

  5. S Weinberg, Rev. Mod. Phys. 61, 1 (1989) 1.

  6. P J E Peebles and B Ratra, Rev. Mod. Phys. 75 (2003) 559.

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

  8. A Kamenshchik, U Moschella, and V Pasquier, Phys. Lett. B 511 (2001) 265.

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

  10. G W Gibbons, Classical and Quantum Gravity 20, 12 (2003) S321.

  11. A Sen, JHEP 0207 (2002) 065.

  12. J S Bagla, H K Jassal and T Padmanabhan, Physical Review D 67, 6 (2003) 063504.

  13. S I Nojiri and S D Odintsov, Phys. Rev. D 74, (2006) 086005.

  14. S I Nojiri and S D Odintsov, Phys. Lett. B 657, (2007) 238.

  15. S M Carroll and et al., PRD 71, 6 (2005) 063513.

  16. S Tsujikawa, In Lectures on Cosmology, Springer, Berlin, Heidelberg (2010) 99.

  17. V Faraoni and S Nadeau, Physical Review D 72, 12 (2005) 124005.

  18. S Ferraro, F Schmidt and W Hu, Physical Review D 83, 6 (2011) 063503.

  19. T Chiba. J. Cosmol. Astropart, Phys. 08 (2008) 004.

  20. J Sadeghi, M R Setare, A R Amani, and S M Noorbakhsh, Phys. Lett. B 685, 4 (2010) 229.

  21. H Wei, Commun. Theor. Phys. 52 (2009) 743.

  22. V Sahni and Y Shtanov, J. Cosmol. Astropart. Phys. 11 (2003) 014.

  23. K Bamba, C Q Geng, C C Lee, and L W Luo, JCAP 01 (2011) 021.

  24. K Karami, M S Khaledian, F Felegary and Z Azarmi, Phys. Lett. B 686, 4 (2010) 216.

  25. X Zhang, F Q Wu, Phys. Rev. D 72 (2005) 043524.

  26. Q G Huang, Y G Gong, JCAP 0408 (2004) 006.

  27. H Wei and R G Cai, Phys. Lett. B 663 (2008) 1.

  28. X Wu, Y Zhang, H Li, R Cai, and Z Zhu, arXiv preprint arXiv:0708.0349 (2007).

  29. J C Fabris, S V B Goncalves, R de Sa Ribeiro, Gen. Relativ. Gravit. 38 (2006) 495.

  30. A Avelino and U Nucamendi, JCAP 04 (2009) 006.

  31. P Kovtun, Journal of Physics A: Mathematical and Theoretical 45, 47 (2012) 473001.

  32. N D J Mohan, A Sasidharan and T K Mathew, The Europ. Physical J. C 77, 12 (2017) 849.

  33. F Karolyhazy, Nuovo Cim. A 42, 390 (1966).

  34. M Maziashvili, Int. J. Mod. Phys. D 16, (2007) 1531 [gr-qc/0612110].

  35. K Bamba and et al., Journal of Cosmology and Astroparticle Physics 2011, 01 (2011) 021.

  36. J Sadeghi and H Farahani, Astrophysics and Space Science 347, 1 (2013) 209.

  37. D Pavon and B Wang, General Relativity and Gravitation, 41, 1 (2009) 1.

  38. S Kumar, Monthly Notices of the Royal Astronomical Society, 422, 3 (2012) 2532.

  39. R Amanullah et al., Astrophys. J. 716 (2010) 712.

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