Turinov A. Models of relativity configurations bases on the of exact solutions of the common theory of relativity

The subject of our investigation is relativistic spherically symmetrical configurations with pressure anisotropy and non-static cosmological objects, i.e. "voids". The objective of the theses is investigation of static two-layers models of relative configuration build on the basis of precise solutions of the equations of general theory of relativity with the pressure anisotropy and investigation of "voids" in the modern large-scale Universe structure. Methodology is mathematical simulation of physical properties and cosmological and astrophysical objects evolution. In the these a method of precise solution of the general theory of relativity equations for a case of spherically symmetrical distribution of a substance with the anisotropy pressure is generalized. For the first time precise solutions with a linear dependence between pressure components of four classes are obtained and models of two-layer relativity configurations are built on their basis matching conditions of Lichnerovich-Darmour being used. On the basis of Tolman and Friedman precise solutions models of "voids" in the mass function formality are built. Correspondence of basic "voids" parameters to the newest astronomical data with respect to the density energy sizes of such objects in the Universe is the main characteristic feature of the obtained models. Also for the first time models of "mini-voids" which have not been observed yet are worked out. The sphere of application of the results obtain in the thesis is theoretical investigation of substance behavior in strong gravitational fields and a large scale structure of the Universe.