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Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology

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arxiv 1203.3401 v3 pith:UFU3RNN7 submitted 2012-03-15 gr-qc

Kazuharu Bamba , Kuralay Yesmakhanova , Koblandy Yerzhanov , Ratbay Myrzakulov This is my paper
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keywords cyclicuniversesequationhomogeneousisotropicmodelsstateuniverse
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We study the cosmological evolutions of the equation of state (EoS) for the universe in the homogeneous and isotropic Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) space-time. In particular, we reconstruct the cyclic universes by using the Weierstrass and Jacobian elliptic functions. It is explicitly illustrated that in several models the universe always stays in the non-phantom (quintessence) phase, whereas there also exist models in which the crossing of the phantom divide can be realized in the reconstructed cyclic universes.

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