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A first course in general relativity / par Schutz, Bernard F. Publication : Cambridge ; | New York : Cambridge University Press, 2009 . xv, 393 pages : 24 cm Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

˜The œgalactic black hole : lectures on general relativity and astrophysics / par Falcke,, H. Publication : [S.l.] : Institute of Physics Publishing, 2002 . 353 p. ; , BrochØ. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

˜The œmathematical theory of cosmic strings : cosmic strings in the wire approximation / par Anderson,, Malcolm. Publication : [S.l.] : Institute of Physics Publishing, 2002 . 380 p. ; , ReliØ. 24 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

Advanced mechanics and general relativity par Franklin, Joel Publication : Cambridge | New York Cambridge University Press 2010 . xviii, 367 pages , "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 homogenous 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"-- 26 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Advanced Quantum Mechanics par Dyson,, Freeman. Publication : [S.l.] World Scientific Publishing Company 2007 . 236 p. , Renowned physicist and mathematician Freeman Dyson is famous for his work in quantum mechanics, nuclear weapons policy and bold visions for the future of humanity. In the 1940s, he was responsible for demonstrating the equivalence of the two formulations of quantum electrodynamics Richard Feynman's diagrammatic path integral formulation and the variational methods developed by Julian Schwinger and Sin-Itiro Tomonoga showing the mathematical consistency of QED. This invaluable volume comprises the legendary, never-before-published, lectures on quantum electrodynamics first given by Dyson at Cornell University in 1951. The late theorist Edwin Thompson Jaynes once remarked "For a generation of physicists they were the happy medium: clearer and motivated than Feynman, and getting to the point faster than Schwinger . Future generations of physicists are bound to read these lectures with pleasure, benefiting from the lucid style that is so characteristic of Dyson's exposition. 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

An introduction to relativity par Narlikar, Jayant Vishnu Publication : Cambridge | New York Cambridge University Press 2010 . viii, 363 pages , "General relativity is now an essential part of undergraduate and graduate courses in physics, astrophysics and applied mathematics. This simple, user-friendly introduction to relativity is ideal for a first course in the subject. Beginning with a comprehensive but simple review of special relativity, the book creates a framework from which to launch the ideas of general relativity. After describing the basic theory, it moves on to describe important applications to astrophysics, black hole physics, and cosmology. Several worked examples, and numerous figures and images, help students appreciate the underlying concepts. There are also 180 exercises which test and develop students' understanding of the subject. The textbook presents all the necessary information and discussion for an elementary approach to relativity. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521735612"--Provided by publisher. 26 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Canonical gravity and applications cosmology, black holes, quantum gravity par Bojowald, Martin. Publication : Cambridge, UK | New York Cambridge University Press 2011 . vi, 305 pages , "Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity"-- | "Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black-hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black-hole physics, theoretical cosmology or quantum gravity"-- 26 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Classical measurements in curved space-times par De Felice, F., Publication : Cambridge | New York Cambridge University Press 2010 . xvi, 309 pages 25 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Classical mechanics:point particles and relativity par Greiner, Walter Publication : New York Springer 2004 . xviii, 488 p. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Dynamics and relativity par McComb,, W. D. Publication : [S.l.] Oxford University Press, USA 2000 . 392 p. , Dynamics and Relativity provides undergraduates in physics with an unusually accessible introduction to special relativity by emphasizing the connections between relativity and classical mechanics. The book begins by developing classical mechanics in a form that the author calls "Galilean Relativity," which emphasizes frames of reference. The author shows how a problem formulated in one frame of reference can then solved in another where the problem takes a simpler form. After applying this strategy to a number of classical problems, the author discusses the limitations of Galilean Relativity, particularly for handling Maxwell's equations, and then proceeds to develop Special Relativity while drawing extensively on the groundwork from the previous chapters. The book stresses conservation laws throughout and includes a final chapter that briefly outlines General Relativity. 25 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Einstein manifolds / par Besse, A. L. Publication : Berlin ; | New York : Springer-Verlag, 1987 . xii, 510 p. : , Includes indexes. 25 cm. Date : 1987 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Einstein's unification par Dongen, Jeroen van Publication : Cambridge, UK | New York Cambridge University Press 2010 . x, 213 pages , "Why did Einstein tirelessly study unified field theory for more than 30 years? In this book, the author argues that Einstein believed he could find a unified theory of all of nature's forces by repeating the methods he used when he formulated general relativity. The book discusses Einstein's route to the general theory of relativity, focusing on the philosophical lessons that he learnt. It then addresses his quest for a unified theory for electromagnetism and gravity, discussing in detail his efforts with Kaluza-Klein and, surprisingly, the theory of spinors. From these perspectives, Einstein's critical stance towards the quantum theory comes to stand in a new light. This book will be of interest to physicists, historians and philosophers of science"-- 26 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Exact solutions and scalar fields in gravity recent developments   Publication : [S.l.] Springer 2001 . 323 p. , Divided into four parts, this book covers recent developments in topics pertaining to gravity theories, including discussions on the presence of scalar fields. Part One is devoted to exact solutions in general relativity, and is mainly concerned with the results of rotating null dust beams and fluids. Also included is a panoramic vision of new research directions in this area, which would require revising certain theorems and their possible extensions within gravity theories, new aspects concerning the Ernst potentials, double Kerr spacetimes, and rotating configurations. In particular, there is a detailed discussion of totally symmetric and totally geodesic spaces, in which a method for generating (2+1)-dimensional solutions from (3+1)-dimensional solutions is given. Part Two deals with alternative theories of gravity, all of which include scalar fields and gauge fields. Here, quantum and cosmological effects, which arise from both gravity theories in four and higher dimensions and from metric-affine theories, are investigated. Part Three is devoted to cosmological and inflationary scenarios. Local effects, such as the influence of scalar fields in protogalactic interactions, numerical studies of the collapse of molecular cores, as well as the inverse inflationary problem and the blue eigenvalue spectrum of it, are considered. Moreover, the role of scalar fields as dark matter and quantum cosmology in the Bergman-Wagoner and Gowdy theories, together with the relation of the conformal symmetry and deflationary gas universe, are likewise presented. The last part of the book includes some mixed topics which are still in the experimental stage. Among them are the foundation of the Maxwell theory, a discussion on electromagnetic Thirring problems, a note on the staticity of black holes with non-minimally coupled scalar fields, and a study of the Lorentz force free charged fluids in general relativity. Thus, this book is the most up-to-date, comprehensive collection of papers on the subject of exact solutions and scalar fields in gravity and is a valuable tool for researchers in the area. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),
Exact solutions of Einstein's field equations.   Publication : Cambridge, UK | New York Cambridge University Press, 2003 . xxix, 701 pages , "A revised edition of the now classic text, Exact Solutions of Einstein's Field Equations gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It starts by introducing the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties." | "This edition has been expanded and updated to include the new developments in the field since the publication of the first edition. It contains five completely new chapters, covering topics such as generation methods and their application, colliding waves, classification of metrics by invariants and inhomogeneous cosmologies. It is an important source and guide for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. Parts of the book can also be used for preparing lectures and as an introductory text on some mathematical aspects of general relativity."--MONO JACKET. 26 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),
Gauge fields, knots, and gravity par Baez, John C. Publication : Singapore World Scientific Pub Co Inc 1994 . 480 p. , This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory. 22 cm. Date : 1994 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

General relativity and the einstein equations par Choquet-Bruhat, Yvonne Publication : New York Oxford University Press 2009 . 785 p. , General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

General relativity par Khriplovich, I.B. Publication : New York Springer 2005 . 116p. , This book offers an alternative to other textbooks on the subject, providing a more specific discussion of numerous general relativistic effects for readers who have knowledge of classical mechanics and electrodynamics, including special relativity. Coverage includes in particular gravitational lensing, signal retardation in the gravitational field of the Sun, the Reissner-Nordstrm solution, selected spin effects, the resonance transformation of an electromagnetic wave into a gravitational one, and the entropy and temperature of black holes. The book includes numerous problems at various levels of difficulty, making it ideal also for independent study by a broad readership of advanced students and researchers. I.B. Khriplovich is Chief Researcher, Budker Institute of Nuclear Physics, Novosibirsk, and Chair of Theoretical Physics at Novosibirsk University. Dr. Khriplovich is a Corresponding Member of the Russian Academy of Sciences. He has been awarded the Dirac Medal ``For the advancement of theoretical physics'' by University of New South Wales, Sydney, Australia, and the Pomeranchuk Prize ``For outstanding contribution to the understanding the properties of the standard model, especially for illuminating work on weak and strong interactions of quarks'' by the Institute of Theoretical and Experimental Physics, Moscow, Russia. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Gravitation foundations and frontiers par Padmanabhan, T. Publication : Cambridge, UK | New York Cambridge University Press 2010 . xxviii, 700 pages 26 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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