Quantum hydrodynamics of self-gravitating matter

The nonequilibrium statistical operator method is used on a dynamical basis to construct the nonlinear quantum hydrodynamics (thermodynamics, transport relations, hydrodynamic equations) of self-gravitating matter without the assumption that the state of the system is near equilibrium. The construction is made both on the basis of the complete hydrodynamic description using generally covariant conservation laws as well as on the basis of various methods of reduced description based on rigorous conservation laws.