Maria Lecian

The analytical General-Relativistic theory of generic gravitating transonic viscous accretion objects is newly written in spherically-symmetric non-ratating spacetimes in the reappraisal of the pioneering work of Shakura and Sunayev for cylindrical objects. The non-linearized theory of instabilities is newly analyzed and resolved.The luminosity of the accretion objects is newly calculated after the determination of the available cross sections.The transonic behaviour of the accretion objects onto the celestial bodies is newly exactly analytically determined. The gravitational potential of the accretion objects is newly determined after the solution of the complete General-Relativistic radial equation. The accretion objects onto the celestial bodies are thus newly fully schematized. The theory applies to the accretion objects onto blackholes, neutron stars, dwarf novae, quasars, active galactic nuclei and objects from binary systems.The paradigm is ready also for implementation of vonNeumann-Richtmyer theory.