Download or read book On the Geometric Structure of the Set of Solutions of Einstein Equations written by Wiktor Szczyrba and published by . This book was released on 1977 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chrusciel and published by Birkhäuser. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.
Download or read book Exact Solutions of Einstein s Field Equations written by Hans Stephani and published by Cambridge University Press. This book was released on 2009-09-24 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paperback edition of a classic text, this book contains six new chapters, covering 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.
Download or read book Nonlinear Partial Differential Equations in Geometry and Physics written by Garth Baker and published by Birkhäuser. This book was released on 2012-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.
Download or read book General Relativity and the Einstein Equations written by Yvonne Choquet-Bruhat and published by Oxford University Press. This book was released on 2009 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book General Relativity Black hole astrophysics written by W. Israel and published by . This book was released on 2010 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Einstein Manifolds written by Arthur L. Besse and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed around them. This is the first book which presents an overview of several striking results ensuing from the examination of Einstein’s equations in the context of Riemannian manifolds. Parts of the text can be used as an introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals.
Download or read book The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics written by Stephen Paul Braham and published by American Mathematical Soc.. This book was released on 1997 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the-art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. It features: review articles in key areas - black holes, numerical relativity, etc.; contributions covering most of gravitational physics; useful articles for students who wish to begin exploring the issues discussed; and, invited talks given by researchers known for their ability to communicate their expertise.
Download or read book The Orders of Nature written by Lawrence Cahoone and published by SUNY Press. This book was released on 2013-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic theory of naturalism, bridging metaphysics and the science of complexity and emergence.
Download or read book On N ary Equivalence Relations and Their Application to Geometry written by Wanda Szmielew and published by . This book was released on 1981 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Hilbert s Sixth Problem written by Newton C. A. da Costa and published by Springer Nature. This book was released on 2022-01-25 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the premise that a physical theory is an interpretation of the analytico–canonical formalism. Throughout the text, the investigation stresses that classical mechanics in its Lagrangian formulation is the formal backbone of theoretical physics. The authors start from a presentation of the analytico–canonical formalism for classical mechanics, and its applications in electromagnetism, Schrödinger's quantum mechanics, and field theories such as general relativity and gauge field theories, up to the Higgs mechanism. The analysis uses the main criterion used by physicists for a theory: to formulate a physical theory we write down a Lagrangian for it. A physical theory is a particular instance of the Lagrangian functional. So, there is already an unified physical theory. One only has to specify the corresponding Lagrangian (or Lagrangian density); the dynamical equations are the associated Euler–Lagrange equations. The theory of Suppes predicates as the main tool in the axiomatization and examples from the usual theories in physics. For applications, a whole plethora of results from logic that lead to interesting, and sometimes unexpected, consequences. This volume looks at where our physics happen and which mathematical universe we require for the description of our concrete physical events. It also explores if we use the constructive universe or if we need set–theoretically generic spacetimes.
Download or read book The Ontology of Spacetime II written by and published by Elsevier. This book was released on 2008-06-17 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixteen papers collected in this volume are expanded and revised versions of talks delivered at the Second International Conference on the Ontology of Spacetime, organized by the International Society for the Advanced Study of Spacetime (John Earman, President) at Concordia University (Montreal) from 9 to 11 June 2006. Most chapters are devoted to subjects directly relating to the ontology of spacetime. The book starts with four papers that discuss the ontological status of spacetime and the processes occurring in it from a point of view that is first of all conceptual and philosophical. The focus then slightly shifts in the five papers that follow, to considerations more directly involving technical considerations from relativity theory. After this, Time, Becoming and Change take centre stage in the next five papers. The book ends with two excursions into relatively uncharted territory: a consideration of the status of Kaluza-Klein theory, and an investigation of possible relations between the nature of spacetime and condensed matter physics, respectively. - Space and time in present-day physics and philosophy - Relatively low level of technicality, easily accessible - Introduction from scratch of the debates surrounding time - Broad spectrum of approaches, coherently represented
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975-07 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonholonomic Mechanics and Control written by A.M. Bloch and published by Springer Science & Business Media. This book was released on 2007-09-27 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
Download or read book Differential Geometry Partial Differential Equations on Manifolds written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
Download or read book Prime Mappings Number of Factors and Binary Operations written by Eric K. Van Douwen and published by . This book was released on 1981 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Present Status of the Quantum Theory of Light written by Stanley Jeffers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE PRESENT STATUS OF THE QUANTUM THEORY OF LIGHT In August of 1995, a group of over 70 physicists met at York University for a three-day symposium in honour of Professor Jean-Pierre Vigier. The attendance included theoretical and experimental physicists, mathematicians, astronomers and colleagues concerned with issues in the philosophy of science. The symposium was entitled "The Present Status of the Quantum Theory of Light" in accordance with Professor Vigier's wishes but in fact encompassed many of the areas to which Professor Vigier has contributed over his long and distinguished career. These include stochastic interpretations of quantum mechanics, particle physics, and electromagnetic theory. The papers presented at the symposium have been arranged in this proceedings in the following approximate order: ideas about the nature of light and photons, electrodynamiCS, the formulation and interpretation of quantum mechanics, and aspects of relativity theory. Some of the papers presented deal with alternate interpretations of quantum phenomena in the tradition of Vigier, Bohm et al. These interpretations reject the account given in purely probabilistic terms and which deems individual quantum events to be acausal and not amenable to any analysis in space-time terms. As is well known, Einstein and others also rejected the purely statistical account of quantum mechanics. As stressed by Professor Vigier at the symposium, the current experimental situation now allows for the first time for individual quantum events to be studied, e. g.
