Equations Of Motion In Relativistic Gravity

Author : Dirk Puetzfeld
Publisher : Springer
ISBN 13 : 3319183354
Total Pages : 842 pages
Book Rating : 4.50/5 ( download)

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Download or read book Equations of Motion in Relativistic Gravity written by Dirk Puetzfeld and published by Springer. This book was released on 2015-06-01 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dirk Puetzfeld
Publisher :
ISBN 13 : 9783319183367
Total Pages : pages
Book Rating : 4.62/5 ( download)

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Download or read book Equations of Motion in Relativistic Gravity written by Dirk Puetzfeld and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : M. G. Bowler
Publisher : Elsevier
ISBN 13 : 1483181820
Total Pages : 182 pages
Book Rating : 4.20/5 ( download)

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Download or read book Gravitation and Relativity written by M. G. Bowler and published by Elsevier. This book was released on 2016-06-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series in Natural Philosophy, Volume 86: Gravitation and Relativity provides information pertinent to the fundamental aspects of the theories of gravitation. This book applies the elementary tools of special relativity to the problem of generalizing Newton's theory of gravitation. Organized into 10 chapters, this volume begins with an overview of the principle of relativity, which asserts theta there is no meaningful way of defining absolute velocity. This text then presents a discussion of the Eötvös-Dicke experiments that established the identity of inertial and gravitational mass. Other chapters consider the equations of electrodynamics derived by starting from the equations of electrostatics. This book discusses as well gravitational redshift, deflection of light, and radar echo delay. The final chapter attempts to establish the connection with general relativity and discusses how black holes may manifest themselves to the astronomer. This book is a valuable resource for physicists and undergraduate students in physics.

Author : Eric Poisson
Publisher : Cambridge University Press
ISBN 13 : 1107032865
Total Pages : 795 pages
Book Rating : 4.66/5 ( download)

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Download or read book Gravity written by Eric Poisson and published by Cambridge University Press. This book was released on 2014-05-29 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.

Author : Hideki Asada
Publisher : OUP Oxford
ISBN 13 : 0199584109
Total Pages : 168 pages
Book Rating : 4.09/5 ( download)

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Download or read book Equations of Motion in General Relativity written by Hideki Asada and published by OUP Oxford. This book was released on 2010-12-16 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of general relativity describes the gravitational field of a system of stars and predicts their paths by providing the 'equations of motion' of each star. Extracting these equations from his field equations is a highly technical procedure described in this book. Observable quantities can then be calculated to test the theory.

Author : Luc Blanchet
Publisher : Springer Science & Business Media
ISBN 13 : 9048130158
Total Pages : 634 pages
Book Rating : 4.53/5 ( download)

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Download or read book Mass and Motion in General Relativity written by Luc Blanchet and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Remi Hakim
Publisher : Cambridge University Press
ISBN 13 : 9780521459303
Total Pages : 290 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Introduction to Relativistic Gravitation written by Remi Hakim and published by Cambridge University Press. This book was released on 1999-05-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on applications of general relativity to astrophysics and cosmology. The aim is to provide graduate students with a toolkit for understanding astronomical phenomena that involve velocities close to that of light or intense gravitational fields. The approach taken is first to give the reader a thorough grounding in special relativity, with space-time the central concept, following which general relativity presents few conceptual difficulties. Examples of relativistic gravitation in action are drawn from the astrophysical domain. The book can be read on two levels: first as an introductory fast-track course, and then as a detailed course reinforced by problems which illuminate technical examples. The book has extensive links to the literature of relativistic astrophysics and cosmology.

Author : Philippe Tourrenc
Publisher : Cambridge University Press
ISBN 13 : 9780521456852
Total Pages : 264 pages
Book Rating : 4.51/5 ( download)

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Download or read book Relativity and Gravitation written by Philippe Tourrenc and published by Cambridge University Press. This book was released on 1997-01-28 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, first published in 1997, covers all aspects of special relativity and relativistic gravitation in a compact presentation.

Author : Alan P. Lightman
Publisher : Princeton University Press
ISBN 13 : 1400889014
Total Pages : 616 pages
Book Rating : 4.13/5 ( download)

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Download or read book Problem Book in Relativity and Gravitation written by Alan P. Lightman and published by Princeton University Press. This book was released on 2017-09-01 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.

Author : Arthur Yaghjian
Publisher : Springer Science & Business Media
ISBN 13 : 038773967X
Total Pages : 115 pages
Book Rating : 4.70/5 ( download)

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Download or read book Relativistic Dynamics of a Charged Sphere written by Arthur Yaghjian and published by Springer Science & Business Media. This book was released on 2010-10-19 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a remarkable book. Arthur Yaghjian is by training and profession an electrical engineer; but he has a deep interest in fundamental questions usually reserved for physicists. Working largely in isolation he has studied the relevant papers of an enormous literature accumulated over a century. The result is a fresh and novel approach to old problems and to their solution. Physicists since Lorentz have looked at the problem of the equations of motion of a charged object primarily as a problem for the description of a fundamental particle, typically an electron. Yaghjian considers a mac- scopic object, a spherical insulator with a surface charge. was therefore not tempted to take the point limit, and he thus avoided the pitfalls that have misguided research in this field since Dirac's famous paper of 1938. Perhaps the author's greatest achievement was the discovery that one does not need to invoke quantum mechanics and the correspondence pr- ciple in order to exclude the unphysical solutions (runaway and pre-acc- eration solutions). Rather, as he discovered, the derivation of the classical equations of motion from the Maxwell-Lorentz equations is invalid when the time rate of change of the dynamical variables too large (even in the relativistic case). Therefore, solutions that show such behavior are inc- sistent consequences. The classical theory thus shown to be physically consistent by itself. It embarrassing--to say the least--that this obs- vation had not been made before.