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The Eventual Quintessential Big Collapse of the Closed Universe with the Present Accelerative Phase

2001/10/08 by Dehai Zhang, De-Hai Zhang, Zhang, De-Hai
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics (astro-ph) #Computational Physics and Python Applications #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.astro-ph/0110193

24 pages, 4 figure, Latex

arxiv created 2001/10/08 · openalex publication_date 2001/10/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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