Asymptotic behavior of Cardassian cosmologies with exponential potentials

Details Asymptotic behavior of Cardassian cosmologies with exponential potentials Asymptotic behavior of Cardassian cosmologies with exponential potentials

2005-03-22

arxiv.org/abs/astro-ph/0503478v1

Phys.Rev. D71 (2005) 123516

Astronomy and Astrophysics

Astrophysics

9 pages, 8 figures, revtex4

Scientific paper

10.1103/PhysRevD.71.123516

In this paper we analyze the asymptotic behavior of Cardassian cosmological models filled with a perfect fluid and a scalar field with an exponential potential. Cardassian cosmologies arise from modifications of the Friedmann equation, and among the different proposals within that framework we will choose those of the form $3H^2-\rho\propto \rho^n$ with $n<1$. We construct two three dimensional dynamical systems arising from the evolution equations, respectively adapted for studying the high and low energy limits. Using standard dynamical systems techniques we find the fixed points and characterize the solutions they represent. We pay especial attention to the properties inherent to the modifications and compare with the (standard) unmodified scenario. Among other interesting results, we find there are no late-time tracking attractors.

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