General relativity theory

Proceeding from the fundamentals of the Riemann geometry and tensor calculus, the physical laws in the Riemann space are formulated and evaluated. Subsequently, Einstein field equations are derived and all important applications of the theory, including topical problems, are dealt with, especially the Schwarzschild metric, gravitational waves, gravitational collapse, black holes, and cosmological models. Relevant fundamental physical problems are discussed in detail, whereas results based on complex mathematical derivations are merely presented. Connections are made with observations and latest numerical data obtained therefrom. In some more demanding chapters on special vector fields, motion groups, and the Petrov classification, methods particularly fruitful in modern research are considered