Stability Analysis of the Viscous Polytropic Dark Energy Model in Einstein Cosmology
Yue-Yi Wang, Ju-Hua Chen** , Yong-Jiu Wang
College of Physics and Information Science, Hunan Normal University, Changsha 410081
Abstract ：The viscous polytropic gas model as one model of dark energy is hot-spot and keystone to the modern cosmology. We study the evolution of the viscous polytropic dark energy model interacting with the dark matter in the Einstein cosmology. Setting the autonomous dynamical system for the interacting viscous polytropic dark energy with dark matter and using the phase space analysis method to investigate the dynamical evolution and its critical stability, we find that the viscosity property of the dark energy creates a benefit for the stable critical dynamical evolution of the interaction model between dark matter and dark energy in the flat Friedmann–Robertson–Walker universe and the viscosity of dark energy will soften the coincidence problem just like the interacting dark energy model.
收稿日期: 2016-07-15
出版日期: 2016-10-27
[1] Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559 [2] Perlmutter S, Aldering G and Goldhaber G 1999 Astrophys. J. 517 565 [3] Chimento L P, Jakubi A S and Pavon D 2003 Phys. Rev. D 67 083513 [4] Hu B and Ling Y 2006 Phys. Rev. D 73 123510 [5] Cai R G and Wang A 2005 J. Cosmol. Astropart. Phys. 2005 002 [6] Chen X, Gong Y and Saridakis E N 2014 Int. J. Theor. Phys. 53 469 [7] Weinberg S 1989 Rev. Mod. Phys. 61 1 [8] Ratra B and Peebles P J E 1988 Phys. Rev. D 37 3406 [9] Zlatev I, Wang L and Steinhardt P J 1999 Phys. Rev. Lett. 82 896 [10] Guo Z K, Piao Y S and Zhang X 2005 Phys. Lett. B 608 177 [11] Nikjou A, Baghbani R and Darvishi M T 2013 Astrophys. Space Sci. 345 421 [12] Caldwell R R A 2002 Phys. Lett. B 545 23 [13] Nesseris S and Perivolaropoulos L 2004 Phys. Rev. D 70 123529 [14] Scherrer R J 2004 Phys. Rev. Lett. 93 011301 [15] Chiba T, Okabe T and Yamaguchi M 2000 Phys. Rev. D 62 023511 [16] Armendariz P C, Mukhanov V and Steinhardt P J 2000 Phys. Rev. Lett. 85 4438 [17] Setare M R and Kamali V 2013 Phys. Rev. D 87 083524 [18] Sen A 2002 J. High Energy Phys. 0204 048 [19] Padmanabhan T 2002 Phys. Rev. D 66 021301 [20] Bellazzini B, Csáki C and Hubisz J 2014 Eur. Phys. J. C 74 2790 [21] Bento M C, Bertolami O and Sen A A 2002 Phys. Rev. D 66 043507 [22] Bili? N, Tupper G B and Viollier R D 2002 Phys. Lett. B 535 17 [23] Karami K, Ghaffari S and Fehri J 2009 Eur. Phys. J. C 64 85 [24] Linder E V 2005 Phys. Rev. D 72 043529 [25] Sahni V and Shtanov Y 2003 J. Cosmol. Astropart. Phys. 0311 014 [26] Talbot M 1991 Holographic Universe (London: HarperCollins Publishers) vol 1 chap 4 p 327 [27] Li M 2004 Phys. Lett. B 603 1 [28] Ho?ava P and Minic D 2000 Phys. Rev. Lett. 85 1610 [29] Wei H and Cai R G 2008 Phys. Lett. B 660 113 [30] Führer F 2016 J. Cosmol. Astropart. Phys. 1602 032 [31] Chatterjee S and Bhui B 1990 Astrophys. Space Sci. 167 61 [32] Banergee A, Bhui B and Chatterjee S 1990 Astrophys. J. 358 23 [33] Singh G P, Deshpande R V and Singh 2004 Pramana 63 937 [34] Murphy G L 1973 Phys. Rev. D 8 4231 [35] Bali R and Dave S 2002 Astrophys. Space Sci. 282 461 [36] Katore S D, Shaikh A Y, Kapse D V and Bhaskar S A 2011 Int. J. Theor. Phys. 50 2644 [37] Saadat H and Pourhassan B 2013 Astrophys. Space Sci. 343 783 [38] Sadeghi J, Khurshudyan M and Hakobyan M 2013 Adv. High Energy Phys. 2013 759804 [39] Cai R G and Kim S P 2005 J. High Energy Phys. 0502 050
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
Gamal G. L. Nashed*. Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity
[15]
M. Sharif**;G. Abbas. Phantom Energy Accretion by a Stringy Charged Black Hole
2016, Vol. 33 
