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

2012/03/31 by Kazuharu Bamba, Kuralay Yesmakhanova, Koblandy Yerzhanov +1 · 8 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Elliptic function #Equation of state #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Homogeneous #Imaging phantom #Isotropy #Jacobian matrix and determinant #Mathematical analysis #Mathematical physics #Mathematics #Optics #Phase space #Physics #Quantum mechanics #Quintessence #Statistical physics #Theoretical physics #Universe #gr-qc

paper · pdf · doi:10.2478/s11534-013-0187-3

published in Open Physics 11(4), 397-411 (De Gruyter Open) · 29 pages, 8 figures, version accepted for publication in Central European Journal of Physics

arxiv created 2013/02/14 · openalex publication_date 2013/03/20 · arxiv updated 2014/01/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

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