A gravitating rapidly rotating superdense configuration with realistic state equations

A mathematical model of a gravitating, rapidly rotating, superdense configuration has been constructed using Bethe–Johnson's, Oppenheimer–Volkov's and Raid's equations for a nuclear matter state. An existence of critical solutions of the equation for hydrostatic equilibrium of the stationary rotating, gravitating, superdense configuration is demonstrated by analytical and numerical calculations. In the bifurcation points with respect to the $\epsilon$ and $e$ model parameters, a derivation of the solutions for dense distribution takes place which are asymmetric with respect to rotation axis. The investigation of these solutions has been performed.