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Gravitation --- Modeles mathematiques

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Cosmology --- Gravitation. --- General relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Gravitation --- Properties

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This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.

Geometry, Differential --- Space and time --- General relativity (Physics) --- General relativity (Physics). --- Geometry, Differential. --- Space and time. --- Theory of relativity. Unified field theory --- Differential geometry. Global analysis --- Astrophysics. --- Gravitation. --- Astronomy. --- Physics. --- Differential geometry. --- Astrophysics and Astroparticles. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Astrophysics and Cosmology. --- Mathematical Methods in Physics. --- Differential Geometry. --- Differential geometry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Astronomical physics --- Astronomy --- Cosmic physics --- Properties --- Data processing. --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace

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A complete account of the fundamental techniques of general relativity and their application to cosmology. The book includes reviews of the different cosmological models and their classification, including such topics as causality and horizons, the cosmological parameters, observational tests and constraints of cosmology, symmetries and the large scale topology of space and space-time, and the use of supernovas as cosmological indicators. The perturbations to the cosmological models are discussed throughout the volume. The cosmic microwave background is presented, with an emphasis in secondary distortions in relation to cosmological models and large scale structures. Recent results on dark matter are summarised. A general review of primordial nucleosynthesis is given. Gravitational lensing is discussed in great detail. Most contributions show a balance between theory and observation. Readership: A solid background for students and researchers intending to work in the field of theoretical and observational cosmology.

Cosmology --- Congresses --- Cosmologie. --- Cosmology. --- Gravitation. --- Astrophysics. --- Observations, Astronomical. --- Astronomy—Observations. --- Mathematical physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Astrophysics and Astroparticles. --- Astronomy, Observations and Techniques. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Astronomical observations --- Observations, Astronomical --- Astronomical physics --- Astronomy --- Cosmic physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Deism --- Metaphysics --- Mathematics --- Properties

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The Proceedings of the tenth Advanced Study Institute (ASI) on Tech­ niques and Concepts of High Energy Physics are dedicated to Jane and Bob Wilson. Jane joined Bob at St. Croix for the first session of this Institute, after Bob had stepped down as director of Fermilab, and was scheming to build a modest charm factory in the parking lot of Columbia University's Nevis Laboratory. Through the years, Bob has been a great friend of the School, and much of its success and flavor can be attributed to his guidance and support. The 1998 meeting was held once again at the Hotel on the Cay, and, as before, the work and the fun went on very enjoyably. We had a to­ tal of 76 participants from 23 countries, with the main financial support for the meeting provided by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was co-sponsored by the U. S. Department of Energy, by the Fermi National Accelerator Laboratory (Fermilab), by the U.S. National Science Foundation, and by the University of Rochester. As in the case of the previous ASIs, the scientific program was designed for advanced graduate students and recent PhD recipients in experimental particle physics. The present volume of lectures should complement and update the material published (by Plenum) for the first nine ASIs and prove to be of value to a wider audience of physicists.

Physics --- Physical Sciences & Mathematics --- Electricity & Magnetism --- Nuclear Physics --- Particles (Nuclear physics) --- Technique --- Congresses --- Nuclear physics. --- Heavy ions. --- Observations, Astronomical. --- Astronomy—Observations. --- Electrical engineering. --- Gravitation. --- Particle and Nuclear Physics. --- Nuclear Physics, Heavy Ions, Hadrons. --- Astronomy, Observations and Techniques. --- Electrical Engineering. --- Classical and Quantum Gravitation, Relativity Theory. --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Electric engineering --- Engineering --- Astronomical observations --- Observations, Astronomical --- Ions --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Properties