Wald R.M. General relativity

Monograph. — Chicago: The University of Chicago Press, 1984. — 473 p.Notation and Conventions
FundamentalsSpace and Time in Prerelativity Physics and in Special Relativity
The Spacetime Metric
General Relativity
Manifolds and Tensor Fields
Manifolds
Vectors
Tensors; the Metric Tensor
The Abstract Index Notation
Curvature
Derivative Operators and Parallel Transport
Curvature
Geodesics
Methods for Computing Curvature
Einstein's Equation
The Geometry of Space in Prerelativity Physics; General and Special Covariance
Special Relativity
General Relativity
Linearized Gravity: The Newtonian Limit and Gravitational Radiation
Inhomogeneous, Isotropic Cosmology
Homogeneity and Isotropy
Dynamics of a Homogeneous, Isotropic Universe
The Cosmological Redshift; Horizons
The Evolution of Our Universe
The Schwarzschild Solution
Derivation of the Schwarzschild Solution
Interior Solutions
Geodesics of Schwarzschild: Gravitational Redshift, Perihelion Precession, Bending of Light, and Time Delay
The Kruskal Extension
Advanced Topics
Methods for Solving Einstein's Equation
Stationary, Axisymmetric Solutions
Spatially Homogeneous Cosmologies
Algebraically Special Solutions
Methods for Generating Solutions
Perturbations
Causal Structure
Futures and Pasts: Basic Definitions and Results
Causality Conditions
Domains of Dependence; Global Hyperbolicity
Singularities
What Is a Singularity?
Timelike and Null Geodesic Congruences
Conjugate Points
Existence of Maximum Length Curves
Singularity Theorems
The Initial Value Formulation
Initial Value Formulation for Particles and Fields
Initial Value Formulation of General Relativity
Asymptotic Flatness
Conformal Infinity
Energy
Black Holes
Black Holes and the Cosmic Censor Conjecture
Goneral Properties of Black Holes
The Charged Kerr Black Holes
Energy Extraction from Black Holes
Black Holes and Thermodynamics
Spinors
Spinors in Minkowski Spacetime
Spinors in Curved Spacetime
Quantum Effects in Strong Gravitational Fields
Quantum Gravity
Quantum Fields in Curved Spacetime
Particle Creation near Black Holes
Black Hole Thermodynamics
Appendices
Topological Spaces
Differential Forms, Integration, and Frobenius's Theorem
Differential Forms
Integration
Frobenius's Theorem
Maps of Manifolds, Lie Derivatives, and Killing Fields
Maps of Manifolds
Lie Derivatives
Killing Vector Fields
Conformal Transformations
Lagrangian and Hamiltonian Formulations of Einstein's Equation
Lagrangian Formulation
HamiltonJan Formulation
Units and Dimensions