**Spacetime & Substance**

International Physical Journal

**CONTENTS of No. 3(28)-2005**

P.I.Danylchenko.THE NATURE OF RELATIVISTIC LENGTH SHRINKAGE (109)

Anirudh Pradhan and Purnima Pandey, G.P.Singh, R.V.Deshpandey.CAUSAL BULK VISCOUS LRS BIANCHI I MODELS WITH VARIABLE GRAVITATIONAL AND COSMOLOGICAL CONSTANT (116)

Dumitru Pricopi.THERMAL VARIATION IN THE EXTERNED ONE-ZONE RR LYRAE MODEL. II NON LINEAR RESULTS (121)

Miroslav Sukenik and Jozef Sima.ON THE CONSTANCY OF NATURAL CONSTANTS (124)

Sushil Kumar Singh and Subhash Kumar.LINEAR WAWES IN AN IMPERFECT ANISOTROPIC MHD FLUID IN RELATIVISTIC FORMALISM (128)

Dumitru Pricopi.THERMAL VARIATION IN THE EXTERNED ONE-ZONE RR LYRAE MODEL. II NON LINEAR RESULTS (132)

V.R.Terrovere.EXPLANATION AND MORE PRECISE DEFINITION OF MOTION OF MERCURYS PERIHELION WITHOUT USE OF GENERAL RELATIVITY (140)

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It is shown here, that relativistic shrinkage of the length of moving body is realizing strongly synchronously with the change of its velocity and is continuously self-sustaining without the effect of any forces. This shrinkage is caused by inertial isobaric self-contraction of body matter and by propagation of changes of the strengths of inertia forces field together with the front of body intrinsic time. A mechanism of kinetic energy filling (accumulation) of a body is considered and propagation of the phase waves of perturbation of gravitational field at supraluminal velocity is substantiated here.

In this paper we have investigated an LRS Bianchi I anisotropic cosmological model of the universe by taking time varying $G$ and $\Lambda$ in the presence of bulk viscous fluid source described by full causal non-equilibrium thermodynamics. We obtain a cosmological constant as a decreasing function of time and for $m, n > 0$, the value of cosmological ``constant'' for this model is found to be small and positive which is supported by the results from recent supernovae observations.

The extended one-zone stellar pulsation model is proposed as a tool to investigate the factors affecting thermal variation of pulsating stars. Linear analyse of the resulting equations is described. The results are in very good agreement with the detailed calculations.

Three kinds of ``constants'' are applied in natural sciences, namely the products of definition (e.g. Avogardo number), time independent constants (e.g. light velocity) and time evolving constants (the Universe critical density). In many cases dimensionless constants have been introduced into natural sciences. Individual kinds of constants are discussed and exemplified. A profound relationship between the ENU (Expansive Nondecelerative Universe) and dimensionless constants of the fundamental physical interactions is presented. The contribution provides an alternative to the Dirac presumption on a time decrease of the gravitational constant $G$. Using simple relations the contribution precises the values of the vector bosons $x$ and $y$.

Imperfect fluids are characterised by dissipative effects like bulk viscosity, shear and thermal conduction. They are present right from the terestrial plasma to the depth of time in the early universe. Isotropic fluid with finite dissipation was studied by S. Wienberg for its astrophysical implications. On the other extreme, propagation of linear waves have been under constant investigation for relativistic anisotropic magnetohydrodynamic plasmas. However anisotropic fluid with dissipative effects have not been given due consideration especially for plasmas inside a magnetic field. Here we intend to carry out studies for plasma with finite bulk viscosity. Conditions for growth and decay of linear waves are obtained in special cases of isotropy and Chew-Goldberger-Low (CGL) state while giving indicative results for general scenario.

We use the extended one-zone stellar pulsation model to investigate the factors affecting thermal variation of pulsating stars. Non-linear analyses of the resulting equations are described. The results are in very good agreement with the detailed calculations.

It is implemented a Calculation of the Planets' Perihelion on the Ground of the Gravitation's Theory, that takes into account a Relative Speed of Gravitating Bodies. It is take into Consideration an Influence of Solar Photons and their Screening by an Planets' Atmosphere. It is showed that a Constant of Gravitation for Sun is a Variable Quantity and at Present in Vacuum it is equal to $5.026\cdot10^{-8} sm^3/g\cdot{sec^2}$.

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