The brief modern review of the Universe rotation problem is given. Also it was argued the vacuum concept of the Universe rotation, found the galactic coordinates of the Universe rotation axis, based theoretically the concept of the decaleration parameter anisotropy.

Abstract:
We argued that the standard field scalar potential couldn’t be widely used for getting the adequate galaxies’ curve lines and determining the profiles of dark matter their halo. For discovering the global properties of scalar fields that can describe the observable characteristics of dark matter on the cosmological space and time scales, we propose the simplest form of central symmetric potential celestial-mechanical type, i.e. U(φ) = –μ/φ. It was shown that this potential allows get rather satisfactorily dark matter profiles and rotational curves lines for dwarf galaxies. The good agreement with some previous results, based on the N-body simulation method, was pointed out. A new possibility of dwarf galaxies’ masses estimation was given, also.

Abstract:
Article devoted to searching the parameters of dark matter halos on the base of dwarf galaxies’ dynamics (Messier 32 and Leo I). For doing this, we propose the new approach founded on construction the coupled elliptical trajectory for a probe body in the gravitational fields of Newtonian potential and potential of dark matter’s halo. This allows more accuracy estimate its central density for the Navarro-Frenk-White profile and free parameter for the Einasto profile . Our result is in good correlation with results of other authors that are got by different numerical methods.

Abstract:
A new version of the forming Universe large-scale structures is proposed, based on the refuse of analyses of only the gravitational instability of the cosmological substrate, Vacuum, i.e. the dominant nonbaryonic matter in the Universe, creates the antigravitational instability of the baryonic cosmic substrate itself and causes the formation of galaxies.

Abstract:
For the case of tension tensor containing nonlinear terms in $l^{\alpha}$, we give generalization of Vilenkin metrics and equations of motion of cosmic string. Dynamics of nonlinear string in (1+1)-dimensional universe is discussed.

Abstract:
We briefly review the equations of motion and the space-time interval due to the nonlinear cosmic string that have been derived in ref. [3] for the first time. The different types of isotropic and nonisotropic geodesic lines in the gravitational field of nonlinear cosmic string have been analyzed in detail.

Abstract:
The book examines some of the questions of modern cosmology, the physics of atmospheric phenomena, the physics of quasi-particles and atomic nuclei in the Universe. It consists of three parts, each discusses the theoretical problems of various subjects of cosmic physics. The first part examines the physics of the expanding Universe, with emphasis on the content of the latest revolution in cosmology. It is today well established that the universe is dominated by a vacuum that exceeds the density of baryonic forms of cosmic matter, that the dynamics of the cosmic expansion controls the vacuum antigravity and, finally, that the cosmological expansion is accelerating. In the second part we investigate the processes leading to the electrization of gas fluxes in the solar atmosphere and the generation of neutrons in the active regions of its atmosphere, issues of electrization of thunderstorm clouds in the troposphere of the Earth, the formation and development of noctilucent clouds in the area of the mesosphere. In the third part the methods of calculating the wave functions of cluster systems in continuous and discrete spectrum for a given intercluster interaction are proposed. It presents the theoretical study of astrophysical S-factors in the photonuclear reactions, which are part of the helium thermonuclear processes cycle which determine the bulk of the energy yield in stellar systems. Although the book is written in Russian, it might have some interest.

Abstract:
Purpose.Thetheoretical description of Hubble’s diagrams asymmetry of and calculating the anisotropy of the deceleration parameter phenomenon, that was recently found by R.-G.Cai and Z.-L.Tuo.Method. For doing this the concepts of Universe rotation and its two-component model were attracted.Result.Our result is in good correlation (case of the upper magnitude index) with the value that was got in [1].Significance. The result of article gives new basing of the Universe rotation axis existence.

The effect of light refraction
in a galaxy’s halo of dark matter, described by profiles of Navarro-Frenk-White
and Burkert, was considered. Powers of the Cherenkov radiation for the refractive
indexes of gravitational fields with these profiles were calculated. It was
shown that correspondent radiation temperature in the X-rays diapason have the
magnitude about T~10^{-6}K . It was
also marked that its detection may be the criteria on choosing the preferable
dark matter density distribution in a galaxy.

Abstract:
The generalization of
Jeans equation in expanding and rotating Universe is given. We found the
generalized frequency of baryonic substrate oscillations in the rotating
Universe. In doing this, two cases were considered: the generalized wave vector
coincides with the Jeans wave vector and second case, when the generalized wave
vector tends to zero.