摘要A new cosmological model based on the de Sitter gravity is investigated by dynamical analysis and numerical discussions. Via some transformations, the evolution equations of this model can form an autonomous system with 8 physical critical points. Among these critical points there exist one positive attractor and one negative attractor. The positive attractor describes the asymptotic behavior of late-time universe, which indicates that the universe will enter the exponential expansion phase, finally. Some numerical calculations are also carried out, which convince us of this conclusion derived from the dynamical analysis.
Abstract：A new cosmological model based on the de Sitter gravity is investigated by dynamical analysis and numerical discussions. Via some transformations, the evolution equations of this model can form an autonomous system with 8 physical critical points. Among these critical points there exist one positive attractor and one negative attractor. The positive attractor describes the asymptotic behavior of late-time universe, which indicates that the universe will enter the exponential expansion phase, finally. Some numerical calculations are also carried out, which convince us of this conclusion derived from the dynamical analysis.
(Mathematical and relativistic aspects of cosmology)
引用本文:
AO Xi-Chen**;LI Xin-Zhou;XI Ping
. Cosmological Dynamics of de Sitter Gravity[J]. 中国物理快报, 2011, 28(4): 40401-040401.
AO Xi-Chen**, LI Xin-Zhou, XI Ping
. Cosmological Dynamics of de Sitter Gravity. Chin. Phys. Lett., 2011, 28(4): 40401-040401.
[1] Peebles P J E 2003 Rev. Mod. Phys. 75 559
[2] Padmanabhan T 2003 Phys. Rep. 380 235
Li X Z, Hao J G and Liu D J 2002 Chin. Phys. Lett. 19 1584
Li X Z and Hao J G 2004 Phys. Rev. D 69 107303
[3] Copeland E J, Sami M and Tsujikawa S 2006 Int. J. Mod. Phys. D 15 1753
Li X Z and Hao J G 2004 Phys. Rev. D 70 043529
Li X Z and Feng C J 2010 Phys. Lett. B 692 152
[4] Kibble T W B 1961 J. Math. Phys. 2 212
Utiyama R 1956 Phys. Rev. 101 1597
Blagojević M 2002 Gravitation and Gauge Symmetries (Bristol: IoP Publishing)
[5] Shie K F, Nester J M and Yo H J 2008 Phys. Rev. D 78 023522
Baekler P, Hehl F W and Nester J M Phys. Rev. D 83 024001
[6] Li X Z, Sun C B and Xi P 2009 Phys. Rev. D 79 027301
Li X Z, Sun C B and Xi P 2009 J. Cosmol. Astropart. Phys. 0904 015
Ao X C, Xi P and Li X Z 2010 Phys. Lett. B 694 186
[7] Guo H Y, Huang C G, Xu Z and Zhou B 2004 Mod. Phys. Lett. A 19 1701
Guo H Y, Huang C G, Xu Z and Zhou B 2004 Phys. Lett. A 331 1
Guo H Y, Huang C G, Xu Z and Zhou B 2005 Chin. Phys. Lett. 22 2477
Guo H Y, Huang C G, Xu Z, Tian Y and Zhou B 2005 Acta Phys. Sin. 54 2494 (in Chinese)
Guo H Y, Huang C G and Zhou B 2005 Europhys. Lett. 72 1045
[8] Huang C G, Zhang H Q and Guo H Y 2008 J. Cosmol. Astropart. Phys. 0810 010
2011, Vol. 28 
