Motion And Relativity
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Motion And Relativity
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Author : Leopold Infeld
language : en
Publisher: Elsevier
Release Date : 2013-09-03
Motion And Relativity written by Leopold Infeld and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Science categories.
Motion and Relativity focuses on the methodologies, solutions, and approaches involved in the study of motion and relativity, including the general relativity theory, gravitation, and approximation. The publication first offers information on notation and gravitational interaction and the general theory of motion. Discussions focus on the notation of the general relativity theory, field values on the world-lines, general statement of the physical problem, Newton's theory of gravitation, and forms for the equation of motion of the second kind. The text then takes a look at the approximation method and the equations of motion and motion and the Newtonian and post-Newtonian approximation. Topics include general remarks on the approximation method, two forms of the equations of motion and integrability conditions, approximation method and coordinate system, and development of the metric field. The manuscript examines the variational principle and the equations of motion of the third kind and the one and two particle problems. The formulation of the problem, Lagrangian up the sixth order, motion of a test particle in the field of a heavy particle, two-body problem, and motion of rotating bodies are discussed. The text is a dependable reference for readers interested in the methodologies, solutions, and approaches involved in the study of motion and relativity.
The Theory Of The Relativity Of Motion
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Author : Richard Chace Tolman
language : en
Publisher:
Release Date : 1917
The Theory Of The Relativity Of Motion written by Richard Chace Tolman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1917 with Dynamics categories.
Relativity
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Author : Asghar Qadir
language : en
Publisher: World Scientific
Release Date : 1989
Relativity written by Asghar Qadir and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
The most important feature in this book is the simple presentation with details of calculations. It is very easy to follow. Fairly sophisticated calculations are developed very rapidly. The presentation is logical and the detailed coverage makes this book very readable and useful. The contents develop Relativity as a modern theory of motion, starting by placing it in historical perspective and proceeding to show its logical necessity. The development of the Lorentz transformation is given using only one assumption rather than two. Right away in Chapter 3, geometry as required in Special Relativity for extension to General Relativity is introduced. This enables the use of the four-vector formalism of Minkowski. By the end of Chapter 4, the general Lorentz transformations for three-dimensional motion and their relation to four-dimensional boosts have already been explained. In Chapter 5 applications of relevance in Physics are provided. After a brief introduction to elementary electromagnetic theory, it is reformulated as a theory in four-dimensions using tensors in Chapter 6. Finally in Chapter 7, the theory is extended to deal with accelerated motion as ?corrections? to Special Relativity.
Equations Of Motion In Relativistic Gravity
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Author : Dirk Puetzfeld
language : en
Publisher: Springer
Release Date : 2015-06-01
Equations Of Motion In Relativistic Gravity written by Dirk Puetzfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-01 with Science categories.
The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
Equations Of Motion In Relativistic Gravity
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Author : Dirk Puetzfeld
language : en
Publisher:
Release Date : 2015
Equations Of Motion In Relativistic Gravity written by Dirk Puetzfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
Space Time Motion
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Author : Aleksandr Vasil ́evich Vasil ́ev
language : en
Publisher:
Release Date : 1924
Space Time Motion written by Aleksandr Vasil ́evich Vasil ́ev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Relativity (Physics) categories.
Special Relativity Applied To Arbitrary Motion
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Author : Ed Gerck
language : en
Publisher:
Release Date : 2019-10-23
Special Relativity Applied To Arbitrary Motion written by Ed Gerck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-23 with categories.
All accelerated particles can be transformed and seen as in uniform motion. This is shown in this work, with examples, calculations, and has been studied for more than 100 years. Based on this and college sophomore-level knowledge, this work develops a description of special relativity (SR) that applies to arbitrary, including accelerated, motion.Time cannot be uniquely split from spacetime, and the same is true with space. This work includes general relativity (GR), although GR is not regularly offered at college sophomore-level. GR gives a better basis in undergraduate courses, and underlies much of the contemporary understanding of modern physics, including the big bang, pulsars, quasars,and gravitational waves. The laws of SR are just often simpler when they work in-between inertial frames, as originally stated. The extension of SR to arbitrary motion and GR constitutes the basics of this joint study of SR and GR, in terms of the same spacetime formulation, presenting a consistent theory. The GR principle of equivalence, however, is shown to have problems, when not formulated as originally stated by Einstein - a freely-falling observer in a gravitational field does not feel gravity. There is no statement that acceleration produces gravity.
Mass And Motion In General Relativity
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Author : Luc Blanchet
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-19
Mass And Motion In General Relativity written by Luc Blanchet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-19 with Science categories.
From the infinitesimal scale of particle physics to the cosmic scale of the universe, research is concerned with the nature of mass. While there have been spectacular advances in physics during the past century, mass still remains a mysterious entity at the forefront of current research. Our current perspective on gravitation has arisen over millennia, through the contemplation of falling apples, lift thought experiments and notions of stars spiraling into black holes. In this volume, the world’s leading scientists offer a multifaceted approach to mass by giving a concise and introductory presentation based on insights from their respective fields of research on gravity. The main theme is mass and its motion within general relativity and other theories of gravity, particularly for compact bodies. Within this framework, all articles are tied together coherently, covering post-Newtonian and related methods as well as the self-force approach to the analysis of motion in curved space-time, closing with an overview of the historical development and a snapshot on the actual state of the art. All contributions reflect the fundamental role of mass in physics, from issues related to Newton’s laws, to the effect of self-force and radiation reaction within theories of gravitation, to the role of the Higgs boson in modern physics. High-precision measurements are described in detail, modified theories of gravity reproducing experimental data are investigated as alternatives to dark matter, and the fundamental problem of reconciling any theory of gravity with the physics of quantum fields is addressed. Auxiliary chapters set the framework for theoretical contributions within the broader context of experimental physics. The book is based upon the lectures of the CNRS School on Mass held in Orléans, France, in June 2008. All contributions have been anonymously refereed and, with the cooperation of the authors, revised by the editors to ensure overall consistency.
The Theory Of The Relativity Of Motion
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Author : Richard Tolman
language : en
Publisher:
Release Date : 2013-04-24
The Theory Of The Relativity Of Motion written by Richard Tolman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-24 with categories.
The Theory of the Relativity of MotionIn the field of physical science, there was a widespread feeling that the days of adventurous discovery had passed forever, and the conservative physicist was only too happy to devote his life to the measurement to the sixth decimal place of quantities whose significance for physical theory was already an old story. The passage of time, however, has completely upset such bourgeois ideas as to the state of physical science, through the discovery of some most extraordinary experimental facts and the development of very fundamental theories for their explanation.On the experimental side, the intervening years have seen the discovery of radioactivity, the exhaustive study of the conduction of electricity through gases, the accompanying discoveries of cathode, canal and X-rays, the isolation of the electron, the study of the distribution of energy in the hohlraum, and the final failure of all attempts to detect the earth's motion through the supposititious ether. During this same time, the theoretical physicist has been working hand in hand with the experimenter endeavoring to correlate the facts already discovered and to point the way to further research. The theoretical achievements, which have been found particularly helpful in performing these functions of explanation and prediction, have been the development of the modern theory of electrons, the application of thermodynamic and statistical reasoning to the phenomena of radiation, and the development of Einstein's brilliant theory of the relativity of motion. It has been the endeavor of the following book to present an introduction to this theory of relativity, which in the decade since the publication of Einstein's first paper in 1905 (Annalen der Physik) has become a necessary part of the theoretical equipment of every physicist. Even if we regard the Einstein theory of relativity merely as a convenient tool for the prediction of electromagnetic and optical phenomena, its importance to the physicist is very great, not only because its introduction greatly simplifies the deduction of many theorems which were already familiar in the older theories based on a stationary ether, but also because it leads simply and directly to correct conclusions in the case of such experiments as those of Michelson and Morley, Trouton and Noble, and Kaufman and Bucherer, which can be made to agree with the idea of a stationary ether only by the introduction of complicated and ad hoc assumptions. Regarded from a more philosophical point of view, an acceptance of the Einstein theory of relativity shows us the advisability of completely remodelling some of our most fundamental ideas. In particular we shall now do well to change our concepts of space and time in such a way as to give up the old idea of their complete independence, a notion which we have received as the inheritance of a long ancestral experience with bodies moving with slow velocities, but which no longer proves pragmatic when we deal with velocities approaching that of light.The method of treatment adopted in the following chapters is to a considerable extent original, partly appearing here for the first time and partly already published elsewhere._ Chapter III follows a method which was first developed by Lewis and Tolman,y and the last chapter a method developed by Wilson and Lewis.z The writer must also expresshis special obligations to the works of Einstein, Planck, Poincaré, Laue, Ishiwara and Laub. It is hoped that the mode of presentation is one that will be found well adapted not only to introduce the study of relativity theory to those previously unfamiliar with the subject but also to provide the necessary methodological equipment for those who wish to pursue the theory into its more complicated applications.
The Theory Of The Relativity Of Motion
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Author : Richard C. Tolman
language : en
Publisher:
Release Date : 2017-08-13
The Theory Of The Relativity Of Motion written by Richard C. Tolman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-13 with History categories.