GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS: Dynamical Stability and Attractor of the Variable Generalized Chaplygin Gas Model

Details GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS: Dynamical Stability and Attractor of the Variable Generalized Chaplygin Gas Model GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS: Dynamical Stability and Attractor of the Variable Generalized Chaplygin Gas Model

Jun 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009chphl..26f9801f&link_type=abstract

Chinese Physics Letters, Volume 26, Issue 6, pp. 069801 (2009).

Physics

Scientific paper

For the variable generalized Chaplygin gas (VGCG) as a dynamical system, its stability is analyzed and the related dynamical attractors are investigated. By analysis it is shown that there are two critical points corresponding to the matter-dominated phase and the VGCG dark energy-dominated phase, respectively. Moreover, when the parameters n, α and γ take some fixed values, the phase with ωVGCG = -0.92 is a dynamical attractor and the equation of state of VGCG reaches it from either ωVGCG > -1 or ωVGCG < -1, independent of the initial values of the dynamical system. This shows a satisfactory cosmological model: the early matter-dominated era, followed by the dark energy-dominated era. Meanwhile, the evolutions of density parameters Ωγ and ΩVGCG are quite different from each other. For different initial values of x and y, Ωγ decreases and ΩVGCG increases as the time grows, they will eventually approach Ωγ = 0 and ΩVGCG = 1. Furthermore, since different values of n or α may lead to different equation-of-state parameters ωVGCG, we also discuss the constraints on the parameters n and α by the observation data.

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