Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

General relativity (Physics) --- Acceleration (Mechanics) --- Relativistic quantum theory. --- Relativistic quantum mechanics --- Quantum theory --- Special relativity (Physics) --- Acceleration, Negative --- Deceleration --- Mechanics --- Motion --- Speed --- Artificial gravity --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.

General relativity (Physics) --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Physics - General --- Physics. --- Mathematics. --- Natural philosophy --- Philosophy, Natural --- Relativistic theory of gravitation --- Relativity theory, General --- Computer mathematics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Cosmology. --- Numerical and Computational Physics. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Astrophysics and Cosmology. --- Computational Mathematics and Numerical Analysis. --- Physical sciences --- Dynamics --- Gravitation --- Relativity (Physics) --- Computer science --- Numerical and Computational Physics, Simulation. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Astronomical physics --- Astronomy --- Cosmic physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Cosmic rotation. --- General relativity (Physics) --- Cosmology. --- Astronomy --- Deism --- Metaphysics --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Physics --- Relativity (Physics) --- Rotation, Cosmic --- Cosmology --- Einstein, Albert, --- 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,

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

 The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: • tensor analysis • the special theory of relativity • the general theory of relativity and Einstein’s field equations • spherically symmetric solutions and experimental confirmations • static and stationary space-time domains • black holes • cosmological models • algebraic classifications and the Newman-Penrose equations • the coupled Einstein-Maxwell-Klein-Gordon equations • appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; Carnegie-Mellon University, USA; and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.

Diatomic molecules. --- General relativity (Physics). --- Quantum theory. --- General relativity (Physics) --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Mathematics --- Mathematics. --- Relativistic theory of gravitation --- Relativity theory, General --- Physics. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Mathematical physics. --- Gravitation. --- Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Mathematical Physics. --- Mathematical Applications in the Physical Sciences. --- Global Analysis and Analysis on Manifolds. --- Gravitation --- Relativity (Physics) --- Global analysis. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Geometry, Differential --- Topology --- Astronomy --- Deism --- Metaphysics --- Physical mathematics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Properties

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume reviews conceptual conflicts at the foundations of physics now and in the past century.  The focus is on the conditions and consequences of Einstein’s pathbreaking achievements that sealed the decline of the classical notions of space, time, radiation, and matter, and resulted in the theory of relativity.  Particular attention is paid to the implications of conceptual conflicts for scientific views of the world at large, thus providing the basis for a comparison of the demise of the mechanical worldview at the turn of the 20th century with the challenges presented by cosmology at the turn of the 21st century. Throughout the work, Einstein’s contributions are not seen in isolation but instead set into the wider intellectual context of dealing with the problem of gravitation in the twilight of classical physics; the investigation of the historical development is carried out with a number of epistemological questions in mind, concerning, in particular, the transformation process of knowledge associated with the changing worldviews of physics. Einstein and the Changing Worldviews of Physics is divided into four main parts: * Part I: At the Limits of the Classical Worldview; * Part II: Contexts of the Relativity Revolution; * Part III: The Emergence of the Relativistic Worldview; * Part IV: A New Worldview in the Making. The contributions explore various aspects of the emerging relativistic views in modern physics by giving an historical, philosophical, and mathematical account of Einstein’s work, as well as the work of other distinguished physicists in the field.  Taken as a whole, the book is focused on the interplay between mathematical concepts and physical ideas throughout history by studying today’s scientific world and how it continues to redefine physics in the 21st century. Contributors: A. Ashtekar, E. Battaner, J.E. Beckman, K.A. Brading, T. Dray, J. Eisenstaedt, E. Florido, H.F. Goenner, D. Kennefick, J. Renn, T.A. Ryckman, D.C. Salisbury, J.M. Sánchez-Ron, M. Schemmel, R. Schulmann, B.F. Schutz, J.M.M. Senovilla, A.T. Tolmasquim, R.M. Wald, G. Wolters.

Einstein, Albert, 1879-1955. --- General relativity (Physics) -- History. --- General relativity (Physics). --- General relativity (Physics) --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- History --- Einstein, Albert, --- Relativistic theory of gravitation --- Relativity theory, General --- Mathematics. --- History. --- Mathematical physics. --- Gravitation. --- Astronomy. --- Astrophysics. --- Cosmology. --- Physics. --- History of Mathematical Sciences. --- Classical and Quantum Gravitation, Relativity Theory. --- Astronomy, Astrophysics and Cosmology. --- Mathematical Physics. --- History and Philosophical Foundations of Physics. --- Gravitation --- Relativity (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Physical mathematics --- Astronomical physics --- Astronomy --- Cosmic physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Annals --- Auxiliary sciences of history --- Math --- Science --- Mathematics --- Properties --- 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. --- Astronomy, Cosmology and Space Sciences. --- Philosophical Foundations of Physics and Astronomy. --- Philosophy.