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Ce livre est une invitation à découvrir le lien profond qui unit la relativité générale (la théorie de la gravitation d'Einstein) et la géométrie différentielle, branche de la géométrie issue de la découverte des géométries non-euclidiennes par Gauss et Riemann au XIXe siècle. En abordant la relativité par ses aspects géométriques, ce livre montre que les phénomènes surprenants de la relativité, tels que le paradoxe des jumeaux, les boucles temporelles, les trous noirs, les trous de ver, ne sont que des conséquences de la géométrie de l'espace-temps. Le livre explore également la fascinante relation entre les mathématiques et la physique à travers une des théories les plus passionnantes de notre siècle, la relativité générale, sujet particulièrement d'actualité depuis les récentes observations des ondes gravitationnelles et les observations de plus en plus directes des trous noirs. Il montre ainsi que les mathématiques, loin d'être simplement un « outil », sont une des sources d'inspiration les plus fécondes des physiciens théoriciens. Ce livre offrira une introduction plaisante aux mathématiques de la relativité, autant à l'étudiant en sciences qu'au lecteur curieux et motivé par les découvertes scientifiques les plus fascinantes de notre époque.

Black holes (Astronomy) --- Mathematical physics. --- Relativity (Physics) --- Physical mathematics --- Physics --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Frozen stars --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Mathematics --- Geometry, Differential. --- Cosmology. --- Relativité (physique) --- Géométrie différentielle. --- Trous noirs (astronomie) --- Physique mathématique. --- Cosmologie. --- Relativité (physique) --- Géométrie différentielle. --- Physique mathématique.

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"Relativistic Astrophysics and Cosmology" have developed into important and fruitful research areas with a hitherto unprecented public interest. The year 2005, which marked the 100th anniversary of the 'annus mirabilis', that year in which Albert Einstein published three of his most important scientific papers, was the perfect opportunity to review and to present the current scientific understanding of relativistic topics including cosmological models, cosmology related measurements, the large scale properties of the Universe, dark matter and dark energy, the theory of gravity, black holes, theory and measurements, active galactic nuclei, clusters of galaxies, jets. Each of these subjects is addressed and the book represents a useful reference tool both for the expert and the new-comer in these fields.

Relativistic astrophysics --- Cosmology --- Relativity (Physics) --- Astrophysique relativiste --- Cosmologie --- Relativité (Physique) --- Congresses. --- Congrès --- Cosmology. --- Relativistic astrophysics. --- Relativity (Physics). --- Astrophysics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Physics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Astrophysics and Cosmology.

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"Acta physica Polonica B covers the following areas of physics: general and mathematical physics ; particle physics and field theory ; nuclear physics ; theory of relativity and astrophysics ; statistical physics. Note that a sister journal, Acta Physica Polonica A, published by the Institute of Physics, Polish Academy of Sciences, covers all other areas of physics"--Home page.

nuclear physics --- Nuclear physics --- Quantum field theory --- Relativity (Physics) --- Physique nucléaire --- Théorie quantique des champs --- Relativité (Physique) --- Periodicals --- Périodiques --- Physics --- #ANTIL9610 --- Mathematical Sciences --- Mathematical Physics --- Astrophysics --- Nuclear Physics --- Particle Physics --- General and Others --- Mathematical Sciences. --- Particle Physics. --- Physics. --- Physique nucléaire --- Théorie quantique des champs --- Relativité (Physique) --- Périodiques --- DOAJ-E EJPHYSI EPUB-ALPHA-A EPUB-PER-FT --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Kernfysica --- kernfysica --- Física

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This book is primarily intended for Mathematicians, but students in the physical sciences will find here information not usually available in physics texts.The main aim of this book is to provide a unified mathematical account of the conceptual foundations of 20th-Century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas.

Mathematical physics --- Physics --- Relativity (Physics) --- Quantum theory --- Physique mathématique --- Physique --- Relativité (Physique) --- Théorie quantique --- ELSEVIER-B EPUB-LIV-FT --- Mathematical physics. --- Physics. --- Quantum theory. --- 514.7 --- 53 --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Physical mathematics --- Mathematics

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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