Introduction to the general theory of relativity, its modern development and applications. Tutorial

The foundations of the general theory of relativity are presented, the introduction to its modern development and state is given. Full enough, but without overloading the necessary mathematical apparatus is presented with details. The basic principles and consequences of the theory, its experimental and observation status are discussed. The idea of ​​the current state of the general theory of relativity and its applications to astrophysics, physics of black holes, and cosmology is given. Possible extensions of the theory and methods of their experimental verification are discussed.
For students specializing in theoretical physics, astrophysics and astronomy, graduate students, young teachers, as well as for everyone who is interested in the problems and achievements of the theory of gravity