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Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.

Gravitational fields --- General relativity (Physics) --- Champs gravitationnels --- Relativité générale (Physique) --- Gravitational fields. --- Relativité générale (Physique) --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Fields, Gravitational --- Field theory (Physics) --- Gravitation --- Gravity --- Relativistic theory of gravitation --- Relativity theory, General --- Physics --- Relativity (Physics) --- Theory of relativity. Unified field theory --- General relativity (Physics).

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Partial differential equations --- 514.8 --- Geometric study of objects of mechanics and physics --- 514.8 Geometric study of objects of mechanics and physics --- Conservation laws (Physics) --- Einstein field equations. --- Shock waves. --- Singularities (Mathematics) --- General relativity (Physics) --- Lois de conservation (physique) --- Einstein, Équations du champ d' --- Ondes de choc --- Singularités (mathématiques) --- Relativité générale (physique) --- Einstein field equations --- Shock waves --- Geometry, Algebraic --- Shock (Mechanics) --- Waves --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics) --- Einstein's field equations --- Einstein's gravitational field equations --- Einstein's law of gravitation --- Field equations, Einstein --- Differential equations --- Field theory (Physics) --- Gravitational fields --- Physical laws --- Einstein, Équations du champ d'. --- Ondes de choc.