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General relativity (Physics) --- Relativistic astrophysics

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Relativity (Physics). --- Spaces of constant curvature. --- Symmetric spaces. --- Symmetry (Physics).

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Theory of relativity. Unified field theory --- General relativity (Physics) --- Relativité générale (Physique) --- Relativité générale (Physique) --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics)

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This book provides a thorough introduction to Einstein's special theory of relativity, suitable for anyone with a minimum of one year's university physics with calculus. It is divided into fundamental and advanced topics. The first section starts by recalling the Pythagorean rule and its relation to the geometry of space, then covers every aspect of special relativity, including the history. The second section covers the impact of relativity in quantum theory, with an introduction to relativistic quantum mechanics and quantum field theory. It also goes over the group theory of the Lorentz group, a simple introduction to supersymmetry, and ends with cutting-edge topics such as general relativity, the standard model of elementary particles and its extensions, superstring theory, and a survey of important unsolved problems. Each chapter comes with a set of exercises. The book is accompanied by a CD-ROM illustrating, through interactive animation, classic problems in relativity involving motion.

Special relativity (Physics) --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Ether drift --- Mass energy relations --- Relativity theory, Special --- Restricted theory of relativity --- Special theory of relativity --- Relativity (Physics) --- Theory of relativity. Unified field theory --- Special relativity (Physics). --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time

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This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.

Black holes (Astronomy) --- General relativity (Physics) --- Mathematical physics --- 524.88 --- 524.88 Special hypotheses. Black holes. Antimatter --- Special hypotheses. Black holes. Antimatter --- Physical mathematics --- Physics --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Relativity (Physics) --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Mathematics --- Mathematical physics. --- Mathematics. --- General relativity (Physics).