Dynamics of expansion of the Universe in the models with non-minimally coupled dark energy
|1Neomenko, R, 2Novosyadlyi, B |
1Ivan Franko National University of Lviv, Lviv, Ukraine
2Astronomical Observatory of Ivan Franko National University of Lviv, Lviv, Ukraine
|Kinemat. fiz. nebesnyh tel (Online) 2016, 32(4):3-22|
|Start Page: Problems of Astronomy|
The dark energy model with barotropic equation of state, which interacts with dark matter by gravitation and by other force, which causes the energy-momentum exchange between them is considered. Both components are described by approximation of ideal fluid, parameters of which are parameter of density, parameter of equation of state effective sound speed. The three types of interactions between them are considered: interaction independent from densities of dark components, interaction proportional to energy density of dark energy and interaction proportional to energy density of dark matter. Based on the general covariant conservation equations and Einstein’s equations the equations which describe the dynamics of expansion of the homogeneous isotropic Universe and evolution of densities of both components for different values of interaction parameter. For these three kinds of interactions was shown that exist regions in values of parameters of dark energy and force of interaction for which the densities of and their total density can take negative values. The conditions of positivity of energy density of dark energy and dark matter were found. From these conditions the constraints on value of parameter of interaction were derived. The dynamics of expansion of the Universe with these interactions was analyzed.
|Keywords: dark energy, dark matter, dynamics of the Universe, Einstein’s equations|
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