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General Relativity
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ISBN: 0387274065 0387256431 144192065X Year: 2005 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Abstract

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 gravitational lensing, signal retardation in the gravitational field of the Sun, the Reissner-Nordström 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.

Classical geometries in modern contexts : geometry of real inner product spaces
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ISBN: 3764373717 3764374322 9783764373719 9786610460083 1280460083 Year: 2005 Publisher: Basel ; Boston : Birkhauser Verlag,

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This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of Möbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts. Proofs of newer theorems, characterizing isometries and Lorentz transformations under mild hypotheses are included, like for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. Only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.


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The universe of general relativity
Authors: ---
ISBN: 1280619392 9786610619399 0817644547 Year: 2005 Publisher: Boston : Birkhauser,

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This volume from the Einstein Studies Series is based largely on papers presented at the Sixth International Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002. These contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science. Topics discussed include the prehistory of special relativity, early attempts at a relativistic theory of gravitation, the beginnings of general relativity, the problem of motion in the context of relativity, conservation laws, the axiomatization of relativity, classical and contemporary cosmology, gravitation and electromagnetism, quantum gravity, and relativity as seen through the eyes of the public and renowned relativists. Contributors: K. Brading; G. Gale; H.F.M. Goenner; J. Goldberg; S. Katzir; D. Kennefick; H. Kragh; C. Lehner; U. Majer; J. Mattingly; E.T. Newman; J.D. Norton; J. Renn; R. Rynasiewicz; J.M. Sánchez-Ron; T. Sauer; C. Smeenk; J. Stachel; M. Wazeck; and D. Wünsch.

Keywords

Relativity (Physics) --- General relativity (Physics) --- Gravitation --- Cosmology --- Unified field theories --- History --- Einstein, Albert, --- Einstein unified field theory --- Field theories, Unified --- Unified field theory, Einstein --- Unified theories --- Electromagnetic theory --- Field theory (Physics) --- Supergravity --- Supersymmetry --- Astronomy --- Deism --- Metaphysics --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativistic theory of gravitation --- Relativity theory, General --- Nonrelativistic quantum mechanics --- Space and time --- Properties --- Philosophy (General). --- Quantum theory. --- Science --- Classical and Quantum Gravitation, Relativity Theory. --- Philosophy, general. --- Elementary Particles, Quantum Field Theory. --- History and Philosophical Foundations of Physics. --- Philosophy of Science. --- Quantum Physics. --- Philosophy. --- Normal science --- Philosophy of science --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Gravitation. --- Elementary particles (Physics). --- Quantum field theory. --- Physics. --- Philosophy and science. --- Quantum physics. --- Science and philosophy --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Relativistic quantum field theory --- Quantum theory --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Mental philosophy --- Humanities --- Einstein, Albert --- Aiyinsitan, Abote, --- Aĭnshtaĭn, Albert, --- Ainshutain, A, --- Ain̲sṭain̲, Ālparṭ, --- Ainsṭāina, Albarṭa, --- Ajnštajn, Albert, --- Āynishtayn, --- Aynshtayn, Albert, --- Eĭnshteĭn, Alʹbert, --- אינשטין, אלברט, --- איינשטיין --- איינשטיין, אלבערט, --- איינשטיין, אלברט --- איינשטיין, אלברט, --- Aynştayn, Elbêrt, --- Īnshtīn, --- Aynîştayn, --- Aiyinsitan, --- 愛因斯坦, --- 爱因斯坦, --- Classical and Quantum Gravity. --- Philosophical Foundations of Physics and Astronomy.

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