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Relativité (Physique) --- Relativité générale (Physique)

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Conférences données au Collège de la Cité des sciences et de l'industrie, 2004

Matter --- Matière --- Congresses. --- Congrès --- Matière --- Congrès --- Matter - Congresses. --- Matière (philosophie) --- Physique --- Théorie quantique --- Relativité (physique) --- Structure --- 20e siècle

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Space and time --- Relativity (Physics) --- Time --- Espace et temps --- Relativité (Physique) --- Temps --- Systems and standards --- Systems and standards --- Einstein, Albert, --- Poincaré, Henri,

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Today, general relativity rates among the most accurately tested fundamental theories in all of physics. However, deficiencies in our mathematical and conceptual understanding still exist, and these partly hamper further progress. For this reason alone, but no less important from the point of view that a theory-based prediction should be regarded as no better than one's own structural understanding of the underlying theory, one should undertake serious investigations into the corresponding mathematical issues. This book contains a representative collection of surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods. This book addresses graduate students and specialist researchers alike.

Relativity (Physics) --- Mathematical physics. --- Relativité (Physique) --- Physique mathématique --- Mathematics --- Mathématiques --- Mathematical physics --- Physics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Atomic Physics --- Astrophysics --- Mathematics. --- Physical mathematics --- Physics. --- Differential geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Gravitation. --- Classical and Quantum Gravitation, Relativity Theory. --- Mathematical Methods in Physics. --- Differential Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Numerical and Computational Physics. --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Global differential geometry. --- Cell aggregation --- Numerical and Computational Physics, Simulation. --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Geometry, Differential --- Analytic spaces --- Manifolds (Mathematics) --- Topology --- Differential geometry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties