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General relativity (Physics) --- Gravitation --- Relativité générale (Physique) --- Algemene relativiteitstheorie. --- Gravitatie. --- Relativistic theory of gravitation --- Relativity theory, General --- Field theory (Physics) --- Matter --- Physics --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- Gravitation.
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General relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required.
General relativity (Physics) --- Black holes (Astronomy) --- Gravitational waves. --- Cosmology. --- Relativité générale (Physique) --- Trous noirs (Astronomie) --- Ondes gravitationnelles --- Cosmologie --- Relativity (Physics) --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Special relativity (Physics) --- Science. --- Physics.
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Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Space and time --- Astrophysics --- Astronomical physics --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Astronomy --- Cosmic physics --- Physics --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Space and time. --- Astrophysics. --- General and Others --- 530.1 --- 530.1 Basic principles of physics --- Basic principles of physics --- Theory of relativity. Unified field theory --- Geometry, Differential --- General relativity (Physics) --- Géométrie différentielle --- Relativité générale (Physique) --- Espace et temps --- Relativité générale (physique) --- Cosmologie --- Geometrie differentielle
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Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.
Gravitational fields --- General relativity (Physics) --- Champs gravitationnels --- Relativité générale (Physique) --- Gravitational fields. --- Relativité générale (Physique) --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Fields, Gravitational --- Field theory (Physics) --- Gravitation --- Gravity --- Relativistic theory of gravitation --- Relativity theory, General --- Physics --- Relativity (Physics) --- Theory of relativity. Unified field theory --- General relativity (Physics).
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A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces 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. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.
General relativity (Physics) --- Gravitational waves. --- Space and time. --- Einstein field equations --- Numerical analysis --- Space of more than three dimensions --- Space-time --- Space-time continuum --- Space-times --- Spacetime --- Time and space --- Fourth dimension --- Infinite --- Metaphysics --- Philosophy --- Space sciences --- Time --- Beginning --- Hyperspace --- Relativity (Physics) --- Gravitational radiation --- Gravity waves (Astrophysics) --- Gravitational fields --- Radiation --- Waves --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Numerical solutions. --- Gravitational waves --- Space and time --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Numerical solutions --- Relativité générale (Physique) --- Ondes gravitationnelles --- Espace et temps --- General relativity (Physics). --- Einstein field equations - Numerical solutions
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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.
Functional equations. --- Conformal geometry. --- Lie algebras. --- General relativity (Physics) --- Equations fonctionnelles --- Géométrie conforme --- Algèbres de Lie --- Relativité générale (Physique) --- Complexes. --- General relativity (Physics). --- Geometry. --- Mathematical physics. --- Functional equations --- Conformal geometry --- Lie algebras --- Complexes --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Geometry --- Géométrie conforme --- Algèbres de Lie --- Relativité générale (Physique) --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Relativistic theory of gravitation --- Relativity theory, General --- Linear complexes --- Algebras, Lie --- Circular geometry --- Geometry of inverse radii --- Inverse radii, Geometry of --- Inversion geometry --- Möbius geometry --- Equations, Functional --- Mathematics. --- Physics. --- Mathematical Methods in Physics. --- Gravitation --- Physics --- Relativity (Physics) --- Algebras, Linear --- Coordinates --- Line geometry --- Transformations (Mathematics) --- Algebra, Abstract --- Lie groups --- Functional analysis --- Physical mathematics --- Euclid's Elements --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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Special and General Relativity are concisely developed together with essential aspects of nuclear and particle physics. Problem sets are provided for many chapters, making the book ideal for a course on the physics of white dwarf and neutron star interiors.
General relativity (Physics) --- Special relativity (Physics) --- White dwarf stars. --- Neutron stars. --- Black holes (Astronomy) --- Relativité générale (Physique) --- Relativité restreinte (Physique) --- Naines blanches --- Etoiles à neutrons --- Trous noirs (Astronomie) --- White dwarf stars --- Neutron stars --- Atomic Physics --- Astrophysics --- Physics --- Astronomy & Astrophysics --- Physical Sciences & Mathematics --- Relativité générale (Physique) --- Relativité restreinte (Physique) --- Etoiles à neutrons --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- White dwarfs --- Ether drift --- Mass energy relations --- Relativity theory, Special --- Restricted theory of relativity --- Special theory of relativity --- Relativistic theory of gravitation --- Relativity theory, General --- Frozen stars --- Physics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Astrophysics and Astroparticles. --- Astronomy, Astrophysics and Cosmology. --- Compact objects (Astronomy) --- Gravitational collapse --- Stars --- Pulsars --- Dwarf stars --- Relativity (Physics) --- Gravitation --- Astronomical physics --- Astronomy --- Cosmic physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties
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