[en] A problem of determination of a gravitational field created by matter distribution is solved. The Fock harmonicity condition was used while solving the problem. The Schwarzschild solution procedure in harmonic coordinates for static substance distribution, when its equilibrium is provided by pressure forces, is considered. The internal and external solutions are joined together. 4 refs

[en] Physical conditions of the magnetosphere of pulsars have been investigated. For the P 0531 object the temperature of magnetosphere is 5x10⁴K, and for other pulsars it varies from 10⁴ to 10⁷K at the end of magnetosphere. For the P 0531 a magnetospheric plasma is sustained in such a hot state by the Joule heat arising from drift currents. In the case of other pulsars the initial part of the magnetosphere is heated by star radiation, and the remaining major portion - by drift currents

[en] It is shown that the model for magnetosphere of baryon stars, elaborated by the authors earlier, makes it possible to explain the observed optical emission of the pulsar in the Crab Nebula. The lifetime of the magnetosphere appears to be inadmissibly small. To overcome this obstacle the possibility is considered that particles in the magnetosphere are produced at the expense of substance ejection from the central body

[en] A new mechanism of cosmic ray generation in the pulsar magnetosphere is proposed. The formulas are obtained for the total number of particles in the magnetosphere, for the rates of reduction in this number with time, and for the second derivative of the period with respect to time. The total number of pulsars in the Galaxy, as well as their distribution over the periods (it is assumed that cosmic rays are largely generated by pulsars), is estimated on the basis of the observed cosmic ray flux

[en] The gravitational field set up by the homogeneous plane layer was investigated. Components of a metric tensor and the pressure distribution were found inside the configuration. Sewing together with Taub's external solution is accomplished. An approximate analytical expression was found and the physical meaning of the constant in the external solution was clarified for low central pressures

[en] Recently discovered accelerating expansion of the Universe is of current importance in the theoretical investigation of the Universe evolution. Presumably the reason of such a behavior is the presence of dark energy which by certain estimates constitutes 70 per cent of the Universe content and generates 'repulsive forces'. In the present work the construction of the cosmological model which takes into account the presence of dark energy is realized within the framework of Jordan-Brans-Dicke tensor-scalar theory with dominating non-minimally coupled scalar field in the presence of the cosmological scalar. The radiation dominated epoch is considered

[en] Full text: (author)The polarization operator of fermions with the 1/2 spin is found in the external electromagnetic fields: crossed field, plane wave field, the Redmond configuration field. The relativistic invariant solution for the Klein-Gordon and Dirac equations is adduced. The possibility of electron, positron radiation self-polarization is calculated

[en] Based on basis of the coherent states the density matrix of harmonic oscillator in thermostat is obtained. This method is mathematically refined and physically transparent for the interpretation of quantum phenomena in classical language. Such an approach gives an opportunity to easily find the density matrix in the multi-dimensional case