Evolution of Large-Scale Cosmic Structures in a Rotating Universe

1. Чечин Л.М.(АФИ им. В.Г.Фесенкова, Казахстан)Об эволюции крупномасштабных космических структур во вращающейся Вселенной Всероссийская конференция «Современная звёздная астрономия-2016» (8-10 июня 2016, КГО ГАИШ, г. Кисловодск)

2. On the Universe rotation problem • It seems to consider the Universe rotation as one of its main global parameters. Therefore, the initial torque of the Universe during its evolution should be decreased and redistributed among its large-scale objects (type of galaxies). Such phenomenon therefore has some analogy with thermodynamic adiabatic process, in which the system performs work and modifying its internal energy, hence. In doing this dark energy (for example, the cosmic vacuum) becomes the driving force of Universe evolution. • Now the question arises - whether the Universe torque is fully transfer to its internal objects, and thereby transforms it into a non-rotating one? Such situation is possible in the case when vacuum completes its work under the Universe, which is equivalent to choice of the closed Universe model. However, it is well known that entire set of the observational data suggest the favor of flat Universe. So, the vacuum continues its work up to the present time and the Universe, therefore, still has, although very small, but the non-zero angular momentum.

3. The rotating very early Universe Summing number of articles (cited above) and contained in these arguments, it is reasonable to assume that any quantum cell, born after the Big Bang, initially has a spin and corresponds to the spinning particle. In other words, the very early Universe expediently describe by the Dirac equation. But in the classical (quasi-classical) limit the Dirac equation reduce to the Papapetrou equation. This statement in general covariant form has been argued in the monograph (A.K.Gorbatzevich. Quantum mechanics in general relativity, Minsk, 1985). So, the early Universe can be described by the well-known Papapetrou equations for spinning particles (L.M.Chechin. Astronomy Reports, 2016, v. 60, 535 – 541).

4. Brownian motion of the Universe’s axis of rotation Consider the case of spin wandering along the surface of sphere of unite radius , when the orientation of particle describes by two angles (the polar angle and azimuth angle) , the Fokker-Planck equation will be written as Its solution is

5. Thermal diffusion accounting • From the above it is clear that the Universe evolution is characterized by two important regimes - isotropic (the epoch of very early Universe) and anisotropic (the epoch of our Universe). Therefore, for example, the cosmic microwave background radiation as the result of hot stage of the Universe evolution really should be isotropic, and the alignment directions of galaxies rotation in our Universe is consequence of its anisotropy caused by the rotation of entire Universe. In doing this must be kept in mind that the alignment process is accumulated over time, i.e. it is the secular one.

6. Jeans equation generalization for the rotating Universe. 1

7. Jeans equation generalization for the rotating Universe. 2

8. Jeans equation generalization for the rotating Universe. 3 Rotation of the Universe, as it clear from general physical considerations, is an external factor that can produce the wave disturbances in protogalactic substrate. However, in some cases the rotation doesn’t lead to such wave existence (see standard expression (4). Unfortunately, but just such types of astronomical observations based on the well-known deep sky surveys (HDF, CDF, GOODS, etc) do not give the possibility of this effect (5) detection.

9. Zel’dovich-Harrison spectrum for the rotating Universe • We know that the Harrison-Zel'dovich spectrum allows to explore the formation of large-scale cosmic structures such as galaxies and their clusters. They arise at a certain stage of evolution of the Universe, which roughly corresponds to the redshift • This means, that the angular velocity of the Universe of this period can be approximately regarded as a fixed value.

10. Thank you for attention!