L. A. Sukhanova

Throats as macroparticles on the basis of spherically symmetric solutions to the Einstein-Maxwell equations

Exact spherically symmetric solutions to the equations of general relativity for dust, the electromagnetic field and electrically charged dustlike matter, containing throats, are used for a gravitational description of macro- and microobjects like a universe, pinch plasmoids, and atomic nuclei. The observed universe is shown to be possibly a maximon. The nature of plasmoids forming in experiments with high-voltage discharges can be gravitational. A good agreement is observed between the estimated radii of atomic nuclei with high mass numbers based on the gravitational interaction and the empirical ones.

Solution of a set of Maxwell-Lorentz equations for a ring relativistic electron beam

Nonlinear solutions to a set of Maxwell’s equations and the relativistic equations of electron motion are obtained that describe the equilibrium of a high-power ring relativistic electron beam against the background of immobile ions. By transforming the basic equations, a set of equations for a three-component vortex vector field is derived that describes ring beam configurations for plasma confinement. An example of a numerical calculation of the steady state of a compact beam torus of immobile ions and relativistic electrons is presented.