Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 56, p. 15-18 (2017)

Hydrodynamic cosmological model and the “cosmic doomsday”

Zhdanov, Dr. Sci., Prof.,
Astronomical Observatory of Taras Shevchenko National University of Kyiv, Kyiv
S. Dylda, stud. phys. fac.
Taras Shevchnko national university of Kyiv


We discuss the well-known “Big Rip” cosmological solutions in connection with a correspondence between hydrodynamic (H) and scalar field (SF) models of the dynamical dark energy. Namely, we compare a minimally coupled self-interacting SF and the H-model with a barotropic equation of state in the homogeneous isotropic Universe. In general case these models are not fully equivalent, though for some SF potentials and some regimes of expansion they yield the same evolution of the energy density and the scale factor as functions of time. We consider examples of the SF potentials, that provide such a restricted equivalence in case of linear H-model equations of state; however, we show that in case of the canonical SF Lagrangians (with the standard kinetic term) there is no room for the Big Rip.

Key words
“Big Rip” cosmological solutions.

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DOI: https://doi.org/10.17721/BTSNUA.2017.56.15-18