**Spacetime & Substance**

International Physical Journal

**CONTENTS of No. 5(10)-2001**

N.A.Zhuck, V.V.Moroz, A.M.Varaksin.QUASARS AND THE LARGE-SCALE STRUCTURE OF THE UNIVERSE (193)

Yu.M.Galaev.ETHERAL WIND IN EXPERIENCE OF MILLIMETRIC RADIOWAVES PROPAGATION (211)

Alexandre Baranov and Michael Lukonenko.BROAD STATIC STARS CLASS MODELLING WITHIN ONE APPROACH (226)

Alexandre Baranov and Sergei Tegai.ON FIXED SINGULARITIES IN KERR-SCHILD SPACES (230)

Alexandre Baranov and Nikolai Bardushko.ALGEBRAIC CLASSIFICATION OF 5D KRISHNA RAO WAVE SOLUTION (233)

Spacetime&Substance Journal.Contents of issues for 2000--2001 years (236)

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Regularity in quasars allocation earlier unknown revealing that the quasars are grouped in thin walls of meshes with the medial size about 100 megaparsecs which like a foam homogeneously fill all apparent part of the Universe is determined. For investigation the database on 23760 quasars was used, in which two angular coordinates ($\Theta, \varphi$) and redshift of radiation spectrum ($z$) for each quasar are submitted. Distance up to each quasar by redshift was determined by formula $r = R_0 {\rm ln}\,(1 + z)$, where $R_0$ is constanttypical for the Universe about $10^{-26}$ m. Next, investigation of quasars spatial distribution in spherical and Cartesian co-ordinates is carried out. The Universe part most explored with the help of telescopes and radio telescopes were chosen for this purpose. Delone triangulation is carried out for laminas which thickness is appreciably less than the revealed meshes of large-scale quasar structure (the multitude of lines pairing each quasar to its nearest neighbors without their mutual crossing is constructed). The statistical processing, correlation and spectrum analysis of the finding distances between quasars is executed. The investigations have shown, that at the first method of distances definition: for big distances (noticeably are more than 100 megaparsecs) quasars in the chosen part of the Universe without dependence from distances and angular standing in space have averages of distribution, root-mean-square diversion and correlation factors, typical for a uniform distribution of random quantities; in smaller gauges the quasars are grouped in thin walls of meshes (size about 100 megaparsecs), reminding the lather; the quasars allocation in meshes correlates with galaxies allocation; the Universe has no precise boundaries even on distance in 30-35 billions light years. General scientific and weltanschauung significance of discovery is that, it cardinally changes our representation about global structure and development dynamics of the Universe as a single whole to confirm the concept of the stationary inconvertible Universe and to reject concept dynamic dilating Universe which erroneously formed in the XXth century and taking the beginning from a so-called the Big Bang, which ostensibly has taken place of 10-20 billions years ago.

The phase method of anisotropic media parameters measurement of electromagnetic waves propagation is proposed. The experimental hypothesis check about the existence of such material medium of a radiowaves propagation in the nature, as Aether is executed in eight millimeter radiowaves range. The ethereal wind speed and this speed vertical gradient near the Eath's surface have been measured. The systematic measurement results do not contradict the initial hypothesis rules and can be considered, as experimental imagination confirmation about the Aether existence, as material medium, in the nature.

A class of static spherical stars is considered. The Einstein equations with energy-momentum tensor in perfect fluid approximation and with the mass density distribution $\mu(x)={\mu}_{0}{(1-{x}^{2\nu})}^{n}$ are solved ($\,\mu_0\,$ is a center density, $x = r/R,\, R$ is the radius of star). By means a method of successive approximations with a small compactness parameter $\eta=2M/R$ ($M$ is mass of star) the analytical solution of approximative Einstein's equations for integer value of {\it n} parameter is received. Models of three fundamentally different astrophysical objects are considered. These are a neutron star (${\it n}=1$, $\nu=1$, $\eta=0.147$), the white dwarf Sirius B (${\it n}=5$, $\nu=1$, $\eta=1.3\cdot{10}^{-4}$), stars of main sequence such as the Sun (${\it n}=1$, $\nu=1$, $\eta=4.2\cdot{10}^{-6}$). Analysis of stability given models is conducted. Such critical parameters of considered star models as greatly possible mass, minimum star radius, greatly possible compactness is determined. Results of calculations with known observational data were correlated.

Kerr theorem is used to obtain possible kinds of fixed singularities in Kerr-Schild spaces with geodesic and shear-free null congruence. Function $F(G, \tau_1, \tau_2)$ determining implicitly the null congruence is choosen in the general form of squre polinomial. The discriminant of the polinomial describes common singularities of the electromagnetic and gravitational fields. It is shown that all fixed singularities are intersections of two second order sufaces. For example the ring singularity of Kerr-Newman solution is an intersection of a sphere and a plane passing through the center of the sphere. With the square form of function $F$ the Kerr-Newman solution is the only one with fixed singularity finite in the three-space.

The Krishna Rao 5D genaralized solution's wave properties by means of the Weyl curvature tensor algebraic classification which was introduced earlier by one of authors are investigated. It was shown that 5D metric belongs to the algebraic class similar to Petrov's type II of 4D space-time algebraic classification while the initial 4D metric is type N.

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