A relativistic statistical system of particles interactine via a massive Prock vector field on a Schwarzschild gravitational field background, is considered. It is shown that in the case of attraction of like charges, an ...
The self-consistent system of Einstein-Vlasov equations is investigated in a class of homogeneous spaces. The Bianchi Type I anisotropic cosmological model with orthogonal Killing vectors is considered in detail. It is ...
The structure of the Boltzmann and Vlasov Kinetic equations is considered for spatially uniform cosmological models taking into account the Einstein equations. A successive approximation technique is proposed for solving ...
Exact solutions corresponding to the stable charged vacuum are obtained for cosmological Friedman models with a charged scalar field. It is demonstrated that the presence of a massive vector field for the vacuum changes ...
Using the algebra of anticommuting variables, we formulate the Liouville equation for a system of supersymmetric Dirac particles acted upon by gravitational and electromagnetic fields. A macroscopic equation is obtained ...
On the basis of a generally covariant Liouville-Vlasov equation, relativistic statistical systems of particles interacting by means of chiral of other nonlinear fields are considered. A functional arbitrariness in description ...
For a self-gravitating massless conformally invariant scalar field a solution is obtained to the Einstein equations for which the geometry of space-time remains arbitrary. For a scalar field with cubic nonlinearity, a ...
On the basis of an investigation of the Einstein-Vlasov self-consistent system of equations, a classification is given of the gravitational fields due to a collisionless gravitating gas, using the groups of the motions. ...