This book is written by a. Lightman, W. Press, R. Price and C. Tkolski, is a collection of problems with solutions to the general theory of relativity and gravitation. It is unique in breadth of coverage and overall design. Almost 500 problems introduce the reader to the modern mathematical apparatus and methods used in this field of physics. The problems presented in the collection are borrowed from the latest original works on topical problems of the general theory of relativity and gravitation (solution of the equations of gravitation , The physics of curved space-time , black holes, Gravitational radiation , cosmological aspects of general relativity and its experimental verification). The book is designed for a wide range of researchers, teachers, graduate students and students of physical and mathematical specialties .