Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology
arXiv:1203.3401 · doi:10.2478/s11534-013-0187-3
Abstract
We study the cosmological evolutions of the equation of state (EoS) for the universe in the homogeneous and isotropic Friedmann-Lemaître-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.
29 pages, 8 figures, version accepted for publication in Central European Journal of Physics