Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-10-08
Astronomy and Astrophysics
Astrophysics
24 pages, 4 figure, Latex
Scientific paper
Whether our universe with present day acceleration can eventually collapse is very interesting problem. We are also interesting in such problems, whether the universe is closed? Why it is so flat? How long to expend a period for a cycle of the universe? In this paper a simple ``slow-fast'' type of the quintessence potential is designed for the closed universe to realize the present acceleration of our universe and its eventual big collapse. A detail numerical simulation of the universe evolution demonstrates that it divides the seven stages, a very rich story. It is unexpected that the quintessential kinetic energy is dominated in the shrink stage of the universe with very rapid velocity of the energy increasing. A complete analytic analysis is given for each stage. Some very interesting new problems brought by this collapse are discussed. Therefore our model avoids naturally the future event horizon problem of the present accelerative expanding universe and maybe realize the infinite cycles of the universe, which supplies a mechanism to use naturally the anthropic principle. This paper shows that the understanding on the essence of the cosmological constant should contain a richer content.
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