Gravitational stability of dark energy in galaxies and clusters of galaxies

1Novosyadlyi, B, 1Tsizh, M, 1Kulinich, Y
1Astronomical Observatory of Ivan Franko National University of Lviv, Lviv, Ukraine
Kinemat. fiz. nebesnyh tel (Online) 2014, 30(2):3-15
Start Page: Problems of Astronomy
Language: Ukrainian
Abstract: 

We analyzed the behaviour of the scalar field as dark energy of the Universe in a static world of galaxies and clusters of galaxies. We find the analytical solutions of evolution equations for the density and velocity perturbations and of dark matter and dark energy, which interact only gravitationally, along with the metric perturbations in the static world with the background Minkowski metric. Usin them it was shown that the quintessential and phantom dark energy in the static world of galaxies and clusters of galaxies is gravitationally stable and can only oscillate by the influence of self-gravity. In the gravitational field of the dark matter perturbations it is able to condense monotonically, but the amplitudeson all scales remain small. It was illustrated also, that the “accretion” of phantom dark energy in the region of dark matter overdensities causes formation of dark energy underdensities — the regions with negative amplitude of density perturbations of dark energy.

Keywords: dark energy, gravitational fields
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