arXiv subjects
Publications and source records attributed to S. S. Gershtein.
It is shown that a gravitational compression of a spherical body results in an infinite growth of the energy of a body as its radius comes close to $GM/c^2$. This gives rise to a negative defect of mass and, due to an instability, to an expansion or to an explosion. A rigorous proof of the above statement can be obtained within the General Relativity in the harmonic coordinates.
It is shown that, in the framework of Relativistic Theory of Gravitation with massive graviton, gravitational waves, due to the causality condition, do not bear negative energy flows.
We discuss exotic states X(3872) and $Z^+(4430)$, observed recently in experiment Belle. The QCD-string based explanation is suggested.
We discuss the possibility for observing $B_c$ mesons in decay channels with $B_s$ in final state.
It is shown that the slowing down of the rate of time referencing to the inertial time leads in the field theory of gravitation to arising of repulsive forces which remove the cosmological singularity in the evolution of a homogeneous and isotropic universe and stop the collapse of large masses.
It is shown that the gravitational field, as a physical field developing in the Minkowsky space, does not lead to unlimited gravitational collapse of massive bodies and, hence, excludes a possibility of the formation of the ``black holes''.
A definition of the gravitational flow and a short description of the recipe of its calculation are presented.
In this paper we show that heavy quarckonium states, similar to light mesons, form Regge trajectories in $(n,M^2)$ and $(M^2,J)$ planes and the slope of these trajectories is independent on the quantum numbers of the mesons. This fact can be useful for the prediction of the masses of heavy quarkonia and the determination of the quantum numbers of the newly discovered states.
It is shown in the article that according to the Relativistic Theory of Gravitation the gravitational field providing slowing down of the time rate nevertheless stops itself this slowing down in strong fields. So a physical tendency of this field to self-restriction of the gravitational potential is demonstrated. This property of the field leads to a stopping of the collapse of massive bodies and to the cyclic evolution of the homogeneous and isotropic Universe.
It is shown that there exists, in the field theory of gravitation, contrary to the General Theory of Relativity (GTR), a bound for admissible time slowing down by the gravitational field which excludes a possibility of unbounded compression of matter by the gravity forces.
It is shown that the internal solution of the Schwarzschild type in the Relativistic Theory of Gravitation does not lead to an {infinite pressure} inside a body as it holds in the General Theory of Relativity. This happens due to the graviton rest mass, because of the stopping of the time slowing down.
It is shown in this work that all free physical fields should have a nonzero rest mass according to the field theory of gravitation.
It is shown that the universal property of gravitational field to slow down the rate of time leads in the field theory to a fundamental property -- generation of effective forces of repulsion.
It is shown that using the relativistic field theory of gravity (RTG) and measured value of $Ω_{tot}$ one can obtain the upper limit on the graviton mass with 95%C.L.: $m\leq 1.6\cdot 10^{-66}$ [g]; within the $(1σ)$ range its probable value is $m_{g}= 1.3\cdot 10^{-66}$ [g]. It is pointed out that according to RTG the presence of the quintessence is necessary to explain the Universe accelerated expansion. Experimental data on the Universe age and dark matter density allow one to determine the range of possible values of the $ν$ parameter in the equation of quintessence state and indicate characteristic time, which corresponds to the beginning and cessation of the accelerated expansion epoch, as well as the time period of the maximal expansion, which corresponds to the half-period of the oscillatory evolution of the Universe.
It is noticed that the total relative density of mass in the Universe Omega_tot should exceed 1, i.e. Omega_tot=1+f^2/6 according to the field relativistic theory of gravity (RTG), which is free of the cosmological singularity and which provides the Euclidean character for the 3-dimensional space. Here f is the ratio of the graviton mass m_g to the contemporary value of the ``Hubble mass'' m^0_H=\hbar H_0/c^2\simeq 3,8\cdot 10^{-66}h(g) (h=0,71\pm0,07). Applying results of the experimental data processing presented in [1] an upper limit for the graviton mass is established as m_g\leq 3,2\cdot 10^{-66}g at the 95% confidence level.
It is shown that the RTG predicts an opportunity of the intensive production of gravitons at the early stage of evolution of the homogeneous isotropic Universe. A hypothesis is suggested that the produced gas of gravitons could be just the ``dark matter'' which presently manifests itself as a ``missing mass'' in our Universe.
It is shown that due to the smallness of the inelastic cross-section of the $dμ$-atoms scattering in the crystal lattice at sufficiently low temperatures the $ddμ$-mesomolecules formation from the upper state of the hyperfine structure $dμ(F=3/2)$ starts earlier than the mesoatoms thermolization. It explains an approximate constancy of the $ddμ$-mesomolecule formation rate in solid deuterium.
As it is well-known that the hydrodinamic collapse of the massive star iron core should lead to the production of a hot neutron star. The assumption is made that the thermonuclear burning of the envelope matter, accreting onto the hot neutron star, can proceed in the oscillatoric regime (analogously to that happens during heat explosion of the carbon-oxigene cores of stars with smaller masses). Local density oscillations in the vicinity of the neutron star surface can generate shock waves, in which the stratification of the electron-positron plasma from the rest of the matter can happen due to the light preasure. In the case of the spherically symmetric collapse of the compact star it can lead to the production of the expanding relativistic fireball shells with characteristic oscillation time of ~ 10^{-2} s, observed in the cosmological γ-bursts (GRB), can occur. It is pointed out that nonrotating massive Wolf-Rayet's (WR) stars could be the source for the GRB, whose collapses, according to a number of observations, can happen without any noticeable ejection of the envelope.