Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 54, p. 14-17 (2016)

Qualitative analysis of a cosmological evolution in a hydrodynamical model with a barotropic equation of state

V. Zhdanov, Dr. Sci., Prof.,
S. Dylda, stud. phys. fac.,
Taras Shevchenko National University of Kyiv

We study a qualitative behavior of the scale factor and energy density in a hydrodynamical model of a homogeneous isotropic Universe with a general barotropic equation of state (EOS). We relax conditions on EOS as compared with the paper by Jenkovszky et al., [Phys. Rev. D 90, 023529 (2014)] and to include the cases of two or more points of zero specific enthalpy. We present a classification of possible scenarios with an asymptotically exponential inflation, analogs of the Big Rip in the future and in the past, singularity free bouncing solutions and oscillating Universes.

Cosmological evolution

Yatskiv, Ia.S., Aleksandrov, O.M., Vavylova, I.B. Zahalna teoriia vidnosnosti: vyprobuvannia chasom.– Kyiv: HAO NAN Ukrainy, 2005
Iatskiv, Ia.S., Aleksandrov, O.M., Vavylova, I.B. Zahalna teoriia vidnosnosti: horyzonty vyprobuvan. – Kyiv: VAITE, 2013
Aleksandrov, A.N., Vavylova, Y.B., Zhdanov, V.Y. Obshchaia teoryia otnosytelnosty: pryznanye vremenem. – K.: Naukova Dumka, 2015
Novosyadlyi, B., Pelykh, V., Shtanov, Yu., Zhuk, A. Dark energy and dark matter of the universe: in three volumes / Ed. V. Shulga. – Vol. 1: Dark matter: Observational evidence and theoretical models. K.: Akademperiodyka,  2013
Nojiri, S., Odintsov, S.D. , Tsujikawa, S. 2005, Phys.Rev.D71:063004
Nojiri, S., Odintsov, S.D. 2003, Phys.Rev.D68:123512
Bamba, K., Odintsov, S.D . 2014, arXiv:1402.7114 [hep-th]
Jenkovszky, L.L., Zhdanov, V.I., Stukalo, E.J. 2014, Cosmological model with variable vacuum pressure. Phys.Rev.D90, 023529
Caldwell, R.R., Kamionkowski, M., Weinberg, N.N. 2003, Phantom Energy: Dark Energy with w<-1 Causes a Cosmic Doomsday. Phys.Rev.Lett., vol. 91, Issue 7, id. 071301

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