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Equations Of Motion In Relativistic Gravity
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Book Synopsis Equations of Motion in Relativistic Gravity by : Dirk Puetzfeld
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.
Book Synopsis Equations of Motion in Relativistic Gravity by : Dirk Puetzfeld
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.
Book Synopsis Gravitation and Relativity by : M. G. Bowler
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.
Book Synopsis Equations of Motion in General Relativity by : Hideki Asada
Download or read book Equations of Motion in General Relativity written by Hideki Asada and published by . This book was released on 2011 with total page 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.
Book Synopsis Mass and Motion in General Relativity by : Luc Blanchet
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.
Book Synopsis An Introduction to Relativistic Gravitation by : Remi Hakim
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.
Book Synopsis Relativity and Gravitation by : Philippe Tourrenc
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.
Book Synopsis Problem Book in Relativity and Gravitation by : Alan P. Lightman
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.
Book Synopsis Advanced General Relativity by : Claude Barrabès
Download or read book Advanced General Relativity written by Claude Barrabès and published by OUP Oxford. This book was released on 2013-05-23 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at students making the transition from a first course on general relativity to a specialized subfield. It presents a variety of topics under the general headings of gravitational waves in vacuo and in a cosmological setting, equations of motion, and black holes, all having a clear physical relevance and a strong emphasis on space-time geometry. Each chapter could be used as a basis for an early postgraduate project for those who are exploring avenues into research in general relativity and who have already accumulated the required technical knowledge. The presentation of each chapter is research monograph style, rather than text book style, in order to impress on interested students the need to present their research in a clear and concise format. Students with advanced preparation in general relativity theory might find a treasure trove here.
Book Synopsis Relativity in Modern Physics by : Nathalie Deruelle
Download or read book Relativity in Modern Physics written by Nathalie Deruelle and published by Oxford University Press. This book was released on 2018-08-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on relativity integrates Newtonian physics, special relativity and general relativity into a single book that emphasizes the deep underlying principles common to them all, yet explains how they are applied in different ways in these three contexts. Newton's ideas about how to represent space and time, his laws of dynamics, and his theory of gravitation established the conceptual foundation from which modern physics developed. Book I in this volume offers undergraduates a modern view of Newtonian theory, emphasizing those aspects needed for understanding quantum and relativistic contemporary physics. In 1905, Albert Einstein proposed a novel representation of space and time, special relativity. Book II presents relativistic dynamics in inertial and accelerated frames, as well as a detailed overview of Maxwell's theory of electromagnetism. This provides undergraduate and graduate students with the background necessary for studying particle and accelerator physics, astrophysics and Einstein's theory of general relativity. In 1915, Einstein proposed a new theory of gravitation, general relativity. Book III in this volume develops the geometrical framework in which Einstein's equations are formulated, and presents several key applications: black holes, gravitational radiation, and cosmology, which will prepare graduate students to carry out research in relativistic astrophysics, gravitational wave astronomy, and cosmology.
Book Synopsis General Relativity and Gravitation by : M. A. H. MacCallum
Download or read book General Relativity and Gravitation written by M. A. H. MacCallum and published by CUP Archive. This book was released on 1987-09-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Relativistic Dynamics by : Fred I. Cooperstock
Download or read book General Relativistic Dynamics written by Fred I. Cooperstock and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.
Book Synopsis A Novel Approach to Relativistic Dynamics by : Yaakov Friedman
Download or read book A Novel Approach to Relativistic Dynamics written by Yaakov Friedman and published by Springer Nature. This book was released on 2023-02-18 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph provides a mathematically simple and physically meaningful model which unifies gravity, electromagnetism, optics and even some quantum behavior. The simplicity of the model is achieved by working in the frame of an inertial observer and by using a physically meaningful least action principle. The authors introduce an extension of the Principle of Inertia. This gives rise to a simple, physically meaningful action function. Visualizations of the geometryare obtained by plotting the action function. These visualizations may be used to compare the geometries of different types of fields. Moreover, a new understanding of the energy-momentum of a field emerges. The relativistic dynamics derived here properly describes motion of massive and massless objects under the influence of a gravitational and/or an electromagnetic field, and under the influence of isotropic media. The reader will learn how to compute the precession of Mercury, the deflection of light, and the Shapiro time delay. Also covered is the relativistic motion of binary stars, including the generation of gravitational waves, a derivation of Snell's Law and a relativistic description of spin. We derive a complex-valued prepotential of an electromagnetic field. The prepotential is similar to the wave function in quantum mechanics. The mathematics is accessible to students after standard courses in multivariable calculus and linear algebra. For those unfamiliar with tensors and the calculus of variations, these topics are developed rigorously in the opening chapters. The unifying model presented here should prove useful to upper undergraduate and graduate students, as well as to seasoned researchers.
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.
Book Synopsis The Theory of Space, Time and Gravitation by : V. Fock
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 460 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.
Book Synopsis Relativity and Gravitation by : Charles Goethe Kuper
Download or read book Relativity and Gravitation written by Charles Goethe Kuper and published by Gordon & Breach Publishing Group. This book was released on 1971 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Relativistic Theory of Gravity by : Anatoliĭ Alekseevich Logunov
Download or read book Relativistic Theory of Gravity written by Anatoliĭ Alekseevich Logunov and published by . This book was released on 1998 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relativistic theory of gravity presented in this work is constructed as a field theory of the gravitational field within the framework of special relativity theory. The starting point is the hypothesis that a universal characteristic of matter -- the energy-momentum tensor -- serves as the source of gravity. The gravitational field is considered to be a universal physical field with spins 2 and 0, owing to the action of which the effective Riemannian space arises. This permits finding a gauge group and unambiguously constructing the Lagrangian density of the gravitational field. The set of equations of this theory is generally covariant and form-invariant with respect to the Lorentz group. Here the introduction of the graviton mass into the theory is necessarily required. The graviton mass substantially influences the Universe evolution and alters the nature of the gravitational collapse. In the work a further development is presented of the ideas of H. Poincare, H. Minkowski, A. Einstein,D. Hilbert, N. Rosen, V.A. Fock, S. Gupta, W. Thirring and S. Weinberg in the theory of relativity and gravity.
