Dynamic Behavior and Topological Structure of the Universe with Dark Energy

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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9 pages, 2 figures

Scientific paper

The topology of the space-time has intimate relationship with the dynamical behavior of the Universe. Via qualitatively analyzing the relationship, this letter shows that, the noncyclic, flat and hyperbolic cosmological models might lead to some nonphysical effects. Therefore only the cyclic and compact cosmological model with a tiny or vanishing cosmological constant is most natural and acceptable in physics. Obviously, if such constraints can be verified by observation, they would be much helpful for the researches on the properties of dark matter and dark energy in cosmology.

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