Download or read book Invariance Properties of Variational Principles in General Relativity written by Johannes Christiaan Du Plessis and published by . This book was released on 1968 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Broader View of Relativity written by Jong-Ping Hsu and published by World Scientific. This book was released on 2006 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein''s theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein''s special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and how these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach''s general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Sample Chapter(s). Chapter 1: Introduction and Overview (326 KB). Contents: The Historical and Physical Context of Relativity Theory: Space, Time and Inertial Frames; On the Right Track: Voigt, Lorentz, and Larmor; The Novel Creation of the Young Einstein; A Broader View of Relativity: The Central Role of the Principle of Relativity: Relativity Based Solely on the Principle of Relativity; Experimental Tests I & II; Group Properties of Taiji Relativity and Common Relativity; Common Relativity and Quantum Mechanics; Extended Relativity: A Weaker Postulate for the Speed of Light; The Role of the Principle of Relativity in the Physics of Accelerated Frames: The Principle of Limiting Lorentz and Poincar(r) Invariance; Physical Properties of Spacetime in Accelerated Frames; Dynamics of Classical and Quantum Particles in Constant-Linear-Acceleration Frames; Group and Lie Algebra Properties of Accelerated Spacetime Transformations; Appendices: Systems of Units and the Development of Relativity Theories; Quantum Electrodynamics in Both Linearly Accelerated and Inertial Frames; and other papers. Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.
Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.
Download or read book Variational Principles in General Relativity written by Brian D. Baker and published by . This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variational Approach to Gravity Field Theories written by Alberto Vecchiato and published by Springer. This book was released on 2017-05-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.
Download or read book Variational Principles in General Relativity written by William Tatum Lauten and published by . This book was released on 1974 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Noether Theorems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976-04 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Variational Principle in General Relativity and the Stability of Fluid Spheres written by William Johnston Cocke and published by . This book was released on 1964 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Space Time and Gravitation written by V. Fock and published by Elsevier. This book was released on 2015-08-11 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Space, Time, and Gravitation, 2nd Revised Edition focuses on Relativity Theory and Einstein's Theory of Gravitation and correction of the misinterpretation of the Einsteinian Gravitation Theory. The book first offers information on the theory of relativity and the theory of relativity in tensor form. Discussions focus on comparison of distances and lengths in moving reference frames; comparison of time differences in moving reference frames; position of a body in space at a given instant in a fixed reference frame; and proof of the linearity of the transformation linking two inertial frames. The text then ponders on general tensor analysis, including permissible transformations for space and time coordinates, parallel transport of a vector, covariant differentiation, and basic properties of the curvature tensor. The publication examines the formulation of relativity theory in arbitrary coordinates and principles of the theory of gravitation. Topics include equations of mathematical physics in arbitrary coordinates; integral form of the conservation laws in arbitrary coordinates; variational principle and the energy tensor; and comparison with the statement of the problem in Newtonian theory. The manuscript is a dependable reference for readers interested in the theory of space, time, and gravitation.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gauge Theory and Variational Principles written by David Bleecker and published by Courier Corporation. This book was released on 2013-01-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.
Download or read book On General Relativity written by A. Mercier and published by Walter de Gruyter GmbH & Co KG. This book was released on 1979-12-31 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "On General Relativity".
Download or read book Lorentz and Poincar Invariance written by Jong-Ping Hsu and published by World Scientific. This book was released on 2001 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers provides a broad view of the development of Lorentz and Poincar(r) invariance and spacetime symmetry throughout the past 100 years. The issues explored in these papers include: (1) formulations of relativity theories in which the speed of light is not a universal constant but which are consistent with the four-dimensional symmetry of the Lorentz and Poincar(r) groups and with experimental results, (2) analyses and discussions by Reichenbach concerning the concepts of simultaneity and physical time from a philosophical point of view, and (3) results achieved by the union of the relativity and quantum theories, marking the beginnings of quantum electrodynamics and relativistic quantum mechanics. Ten of the fundamental experiments testing special relativity are also discussed, showing that they actually support a four-dimensional spacetime based on broad Lorentz and Poincar(r) invariance which is more general than and includes the special theory of relativity. The generalization of the concepts of simultaneity, physical time and the nature of the speed of light within a four-dimensional spacetime framework leads to the conclusion that the symmetries embodied by the special theory of relativity can be realized using only a single postulate OCo the principle of relativity for physical laws. Contents: Theoretical Implications of Lorentz and Poincar(r) Invariance: The Dawn of Lorentz and Poincar(r) Invariance (1887OCo1905): Inquiries Regarding the Constancy of the Speed of Light (1908-1910); The Splendid Union of Special Relativity and Quantum Mechanics (1927OCo1949); The Isotropy of the Speed of Light c: A Convenient Assumption (1963OCo1995); The Logically Simplest Theory of Relativity and Its 4-Dimensional Symmetry (1990OCo1994); Experiments for Lorentz and Poincar(r) Invariance: The Fizeau Experiment; The WilsonOCoWilson Experiment; The Observation of the Muon Lifetime Dilation; The MassOCoVelocity Relation Experiment; The Thomas Precession Experiment; and other papers. Readership: Upper-level undergraduates, graduate students, researchers and academics in mathematical physics and theoretical physics."
Download or read book Mathematical Aspects of General Relativism Invariance and Variational Principles written by John Charles Edwards and published by . This book was released on 1985 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dictionary of Scientific Principles written by Stephen Marvin and published by John Wiley & Sons. This book was released on 2011-01-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dictionary of Scientific Principles presents a unique and timeless collection of (almost) all known rules or laws commonly called principles, identified throughout the history of scientific development, their definition, and use. Exploring a broad range of disciplines, the book first lists more than 2,000 principles organized in a standard alphabetical order, then provides a list of subject headings for which related principles are identified. A staple addition to every library, the dictionary will also be of interest to scientists and general readers.
Download or read book The Theoretical Significance of Experimental Relativity written by Robert Henry Dicke and published by Routledge. This book was released on 1964 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pt. I. Null experiments. Eörvös experiment -- Space isotropies -- The ether drift experiments -- pt. II. Three famous tests of general relativity. The gravitational red shift -- The gravitational deflection of light -- The perihelion rotation of Mercury -- Cosmic experiments -- Appendix I. Experimental tests of Mach's principle -- Appendix II. Mach's principle and invariance under transformation of units -- Appendix III. Long-range scalar interaction -- Appendix IV. Field theories of gravitation -- Appendix V. Cosmology, Mach's principle and relativity -- Appendix VI. Significance of spatial isotropy -- Appendix VII. Mach's principle and a relativistic theory of gravitation -- Appendix VIII. Lee-Yang vector field and isotropy of the universe -- Appendix IX. The earth and cosmology -- Appendix X. Implications for cosmology of stellar and galactic evolution rates -- Appendix XI. Dating the galaxy by uranium decay -- Appendix XII. Dirac's cosmology and the dating of meteorites.
