A study on type I Bianchi model and statefinder diagnostic for ghost dark energy in a fractal cosmology

Author

Sanandaj Branch, Islamic Azad University, Sanandaj, Iran;

Abstract

In this work, we consider the type I Bianchi model in a fractal cosmology and investigate the ghost dark energy model from the statefinder viewpoint. The statefinder diagrams depict the properties of the ghost dark energy and show the discrimination between this scenario, ΛCDM and generalized ghost dark energy models. By using the statefinder parameters r and s, we find out that the studied model can attain the ΛCDM phase of the fractal universe. We also show the behavior of the ghost (generalized ghost) dark energy and quintessence (phantom). Lastly, we show the effect of the anisotropy on the evolution of the universe in the statefinder diagram.

Keywords

References

[1] A. G. Reiss, A.V. Filippenko,P. Challis et al., Astron. J. 116, 1009 (1998).
[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).
[4] S. Tsujikawa., Astrophys. Space Sci. 370, 331 (2011).
[5] B. Ratra,P. Peebles., Phys. Rev. D 37, 3406 (1988).
[6] C. A. Picon,V. F. Mukhanov,P. J. Steinhardt., Phys. Rev. Lett. 85, 4438 (2000).
[7] F. R. Urban and A. R. Zhitnitsky., Phys. Lett. B 688, 9 (2010).
[8] N. Ohta., Phys. Lett. B 695, 41 (2011).
[9] E. Witten., Nucl. Phys. B 156, 269 (1979).
[10] G. Veneziano., Nucl. Phys. B 159, 213 (1979).
[11]P. Nath and R. L. Arnowitt., Phys. Rev. D 23, 473 (1981).
[12] F. Piazza and S. Tsujikawa., JCAP 0407, 004 (2004).
[13] A. R. Zhitnitsky., Phys. Rev. D 86, 045026 (2012).
[14] M. Maggiore., Phys. Rev. D 83, 063514 (2011).
[15] R. G. Cai, Z. L. Tuo,Y. B. Wu,Y. Y. Zhao., Phys. Rev. D 86, 023511 (2012).
[16] A. Sheykhi, E. Ebrahimi,Y. Yosef.i, Can. J. Phys. 91, 662 (2013).
[17] X. Zhang., Phys. Lett. B 648, 1 (2007); A. Sheykhi., Phys. Lett. B 682, 329 (2010); K. Karami, J. Fehri., Phys. Lett. B 684, 61 (2010).
[18] G. Calcagni., Phys. Rev. Lett. 104, 251301 (2010).
[19] G. Calcagni., JHEP 03, 120 (2010).
[20] A. D. Linde., Phys. Lett. B 175, 395 (1986).
[21] J. J. Dickau., Chaos, Solitons, Fractals 41, 2103 (2009).
[22] S. Haldar and S. Chakraborty., arXiv:1508.05090 [gr-qc].
[23] A. Sheykhi, Z. Teimoori, B. Wang., Phys. Lett. B 1204, 718 (2013).
[24] O. A. Lemets and D.A. Yerokhin., arXiv:1202.3457v3; K. Karami, M. Jamil, S. Ghaffari and K. Fahimi., Can. J. Phys. 91, 770 (2013).
[25] M. Salti, M. Korunur and I. Acikgoz., Eur. Phys. J. Plus. 129, 95 (2014); M. Salti and O. Aydogdu., Math. Comput. Appl. 21, 21 (2016); S. Chattopadhyay, A. Pasqua and S. Roy, ISRN High Energy Physics 2013, 6 (2013).
[26] N. Azimi,F. Barati, Int. J. Theor., Phys. 55, 3318 (2016).
[27] H. K. Eriksen et al., Astrophys. J. 605, 1420 (2004).
[28] T. R. Jaffe et al., Astrophys. J. 643, 616 (2006).
[29] T. Singh, A.K. Agrawal., Astrophys. Space Sci. 182, 289 (1991).
[30] M.F. Shamir., Int. J. Theor. Phys. 50, 637 (2011).
[31] D. R. K. Reddy, et al., Int. J. Theor. Phys. 51, 3222 (2012).
[32] D. R. K. Reddy, et al., Int. J. Theor. Phys. 52, 1214 (2013).
[33] A. Aghamohammadi, H. Hossienkhani and Kh. Saaidi, Modern Physics Letters A 33, 13 (2018).
[34] H. Hossienkhani, A. Aghamohammadi and A. Jafari et al., Physics of the Dark Universe 18, 17 (2017).
[35] H. Hossienkhani, Int. J. Theor., Phys. 55, 4924 (2016);V. Fayaz, H. Hossienkhani, Z.Zarei and N. Azimi., Eur. Phys. J. Plus 131, 22 (2016); H. Hossienkhani, A. Najafi and N. Azim.i, Astrophys. Space Sci. 353, 311 (2014).
[36] A. Jawad, S. Rani, I. G. Salako andF. Gulshan., Int. J. Mod. Phys. D 26, 1750049 (2017).
[37] T. M. Davis, E. Mortsell, J. Sollerman et al., Astrophys. J. 666, 716 (2007).
[38] H. A. Borges, S. Carneiro., Gen. Rel. Grav. 37, 1385 (2005).
[39] E. Komatsu et al., Astrophys. J. Suppl. 180, 330 (2009).
[40] E.E.O. Ishida et al., Astropart. Phys, 28, 547 (2008).
[41]V. Sahni et al., JETP Lett. 77, 201 (2003).
[42] U. Alam,V. Sahni, T.D. Saini and A.A. Starobinsky., MNRAS, 344, 1057 (2003).
[43] F. Y. Wang, Z.G. Dai and S. Qi., Astronomy & Astrophysics 507, 53 (2009).
[44] X. Zhang., Phys. Lett. B 611, 1 (2005); X. Zhang., Int. J. Mod. Phys. D 14, 1597 (2005).
[45] S. Chattopadhyay., Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 84, 87 (2014); S. Chattopadhyay., Mod. Phys. Lett. A 31, 1650202 (2016)
[46] F. Barati., Int. J. Theor. Phys. 55, 2189 (2016).
[47]Y. G. Gong, A. Wang., Phys. Rev. 75, 043520 (2006).
[48]Y. S. Myung., Phys. Lett. B 652, 223 (2007); K.Y. Kim, H. W. Lee andY. S. Myung., Phys. Lett. B 660, 118 (2008).
 
Iranian Journal of Astronomy and Astrophysics
Volume 4, Issue 2
ویژه نامه فارسی
October 2017
Pages 172-182

Files

Share

How to cite

Statistics