The 22nd RAGtime workshop (October 19-23, 2020) was held online due to Covid-19 limitations. A number of annual RAGtime workshops have been organized at the Institute by the Group of Relativistic Astrophysics (RAG) since 1999. Its scientific scope is devoted to current issues of relativistic astrophysics focused mainly on the physics of black holes and neutron stars. The workshop is attended by several experts in the field and allows for many valuable discussions and interactions between participants. This year's workshop was mainly dedicated to Professor Zdeněk Stuchlík and his work as a celebration of his 70th birthday. The scientific focus of the seminar has traditionally been devoted mainly to the problems of relativistic physics of black holes and neutron or quark stars. Great attention was paid to the confrontation of theoretical models with current observations available into space through electromagnetic and gravitational wave windows. Special attention was paid to the modeling of astrophysical phenomena in the combination of strong gravity and the corresponding external magnetic fields. Current problems in the theory of accretion have been investigated. We were also an attempt to solve problems related to cosmology, mathematical aspects of the theory of relativity and alternative theories of gravity. In addition, new methods for generating complex general relativistic solutions containing a black hole have been discovered. We also focused on national and international cooperation on current and future space X-ray missions.