Short description of important scientific result: Construction of kinetic theory of nonequilibrium processes in relativistic gravitational fields, the development of group-invariant methods of the theory and application of the theory to the problems of statistical equilibrium self-gravitating systems, gravitational waves and cosmology of the early universe. Construction of mathematical models of non-equilibrium of the universe and the proof of the fact of the impossibility of achieving thermodynamic equilibrium in an accelerated universe. The development of the statistical theory of macroscopic gravity. The results of the qualitative and numerical analysis of the standard cosmological model and cosmological model based on phantom scalar fields. Construction of a theory of the formation of supermassive black holes using the mechanism of scalar-gravitational instability.
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