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General relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics)

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La relativité générale a entraîné une mutation en physique. Il existe de bons ouvrages de cours mais des calculs mathématiques délicats sont souvent nécessaires pour s’approprier la physique sous-jacente. Le pari est ici de proposer un apprentissage par la pratique à la fois du raisonnement et du calcul. Sont ainsi proposées de nombreuses démonstrations, certaines classiques et d’autres moins courantes. Le livre couvre les bases habituelles (géométrie différentielle, calcul tensoriel, espace-temps) avec des exemples de la métrique de Schwarzschild (les trous noirs), l’espace-temps de Kerr, les ondes gravitationnelles, les modèles de matière et les bases de l’électromagnétisme… On notera également quelques sujets plus avancés (dualité de Hodge, formalisme 3 +1…). Les solutions proposées sont très détaillées tant sur le plan des techniques de calcul que sur l’interprétation physique. Elles permettent ainsi d’acquérir une réelle autonomie pour comprendre les concepts de base et être en mesure de résoudre les problèmes. Cet ouvrage est le complément indispensable des livres de cours existants. Le public cible est constitué des étudiants (CPGE, du L3 au doctorat), des enseignants, universitaires, chercheurs en physique, astrophysique et mathématiques.

General relativity (Physics) --- Astrophysics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Relativity (Physics)

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A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he provides an overview of general relativity and its modern ramifications. The book contains chapters on gravitational radiation, cosmology, and connections between general relativity and the fundamental physics of the microworld. It explains the geometry of curved spaces and contains key solutions of Einstein's equations - the Schwarzschild and Kerr solutions. Mathematical calculations are worked out in detail, so students can develop an intuitive understanding of the subject, as well as learn how to perform calculations. The book also includes topics concerned with the relation between general relativity and other areas of fundamental physics. Password protected solutions for instructors are available at www.cambridge.org/9780521845632.

General relativity (Physics) --- Relativity (Physics) --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Relativistic theory of gravitation --- Relativity theory, General --- Physics

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General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this 2006 book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

General relativity (Physics) --- Quantum cosmology --- Quantum cosmology. --- General relativity (Physics). --- Cosmology --- Quantum theory --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics)

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Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

General relativity (Physics). --- Mechanics. --- General relativity (Physics) --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Relativity (Physics)