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Put as simply as possible, this is a book on Einstein's theory of gravity (general relativity). It is the first textbook on the subject that uses throughout the modern formalism and notation of differential geometry, and it is the first book to document in full the revolutionary techniques developed during the past decade to test the theory of general relativity.

Tabla de contenidos provista por Syndetics

• Part I Spacetime Physics
• 1 Geometrodynamics in Brief
• Part II Physics in Flat Spacetime
• 2 Foundations of Special Relativity
• 3 The Electromagnetic Field
• 4 Electromagnetism and Differential Forms
• 5 Stress-Energy Tensor and Conservation Laws
• 6 Accelerated Observers
• 7 Incompatibility of Gravity and Special Relativity
• Part III The Mathematics of Curved Spacetime
• 8 Differential Geometry: An Overview
• 9 Differential Topology
• 10 Affine Geometry: Geodesics, Parallel Transport and Covariant Derivatives
• 11 Geodesic Deviation and Spacetime Curvature
• 12 Newtonian Gravity in the Language of Curved Spacetime
• 13 Riemannian Geometry: Metric as Foundation of All
• 14 Calculation of Curvature
• 15 Bianchi Identities and the Boundary of a Boundary
• Part IV Einstein's Geometric Theory of Gravity
• 16 Equivalence Principle and Measuremetn of the "Gravitational Field"
• 17 How Mass-Energy Generates Curvature
• 18 Weak Gravitational Fields
• 19 Mass and Angular Momentum of a Gravititing System
• 20 Conservation Laws for 4-Momentum and Angular Momentum
• 21 Variation Principle and Initial-Value Data
• 22 Thermodynamics, Hydrodynamics, Electrodynamics, Geometric Optics, and Kinetic Theory
• Part V Relativistic Stars
• 23 Spherical Stars
• 24 Pulsars and Neutron Stars: Quasars and Supermassive Stars
• 25 The "Pit in the Potential" as the Central New Feature of Motion in Schwarzschild Geometry
• 26 Stellar Pulsations
• Part VI The Universe
• 27 Idealized Cosmologies
• 28 Evolution of the Universe into Its Present State
• 29 Present State and Future Evolution of the Universe
• 30 Anisotropic and Inhomogeneous Cosmologies
• Part VII Gravitational Collapse and Black Holes
• 31 Schwarzschild Geometry
• 32 Gravitational Collapse
• 33 Black Holes
• 34 Global Techniques, Horizons, and Singularity Theorems
• Part VIII Gravitational Waves
• 35 Propagation of Gravitational Waves
• 36 Generation of Gravitational Waves
• 37 Detection of Gravitational Waves
• Part IX Experimental Tests of General Relativity
• 38 Testing the Foundations of Relativity
• 39 Other Theories of Gravity and the Post-Newtonian Approximation
• 40 Solar-System Experiment
• Part X Frontiers
• 41 Spinors
• 42 Regge Calculus
• 43 Superspace: Arena for the Dynamics of Geometry
• 44 Beyond the End of Time