Introduction into General Theory of Relativity

General Theory of Relativity or the theory of relativistic gravitation is the one which describes black holes, gravitational waves, and expanding Universe. The goal of the course is to introduce you to this theory. The introduction is based on the consideration of many practical generic examples in various scopes of the General Relativity. After the completion of the course, you will be able to solve the basic standard problems of this theory. We assume that you are familiar with the Special Theory of Relativity and Classical Electrodynamics. However, as an aid, we have recorded several complementary materials that are supposed to help you understand some of the aspects of the Special Theory of Relativity and Classical Electrodynamics and some of the calculational tools that are used in our course. Also as a complementary material, we provide the written form of the lectures at the website: https://math.hse.ru/generalrelativity2015