Wald Robert M. General Relativity

Chicago and London: The University of Chicago Press 1984. — 494 p.Introduction, Manifolds and Tensor Fields, Curvature, Einstein's Equations, Homogeneous Isotropic Cosmology, The Schwarzschild solution.
Methods for solving Einstein's equations, Causal Structure, Singularities, The Initial Value Formulation, Asymptotic Flatness, Black Holes, Spinors, Quantum Effect in Strong Gravitational Fields.