Download or read book Relativistic Forces in Special and General Relativity written by Adrian Sfarti and published by Cambridge Scholars Publishing. This book was released on 2021-12-20 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a generalization of transforms from the frames co-moving with an accelerated particle for uniform circular or linear motion into an inertial frame of reference. The solutions presented here will be of great interest for real-time applications because earth-bound laboratories are inertial only in approximation. The motivation behind this is that real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames. The book is divided into three main sections: the first deals with the theory of dynamics, while the second section deals with the application of theory to the derivation of the relativistic fictitious forces (Coriolis, centrifugal and Euler) occurring in a rotating frame and D’Alembert for a linearly accelerated frame. The third section deals with the Thomas Wigner effect. This is the first book on the subject and it will be of great interest for physics students, physics professors, and engineers.
Download or read book Einstein s Space Time written by Rafael Ferraro and published by Springer Science & Business Media. This book was released on 2007-09-23 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.
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.
Download or read book Special Relativity in General Frames written by Éric Gourgoulhon and published by Springer Science & Business Media. This book was released on 2013-08-20 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra. The book is suitable for students in the third year of a physics degree or on a masters course, as well as researchers and any reader interested in relativity. Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativity. “A modern presentation of special relativity must put forward its essential structures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by Éric Gourgoulhon.” (excerpt from the Foreword by Thibault Damour)
Download or read book Relativistic Forces in Special and General Relativity written by Adrian Sfarti and published by . This book was released on 2023-03-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a generalization of transforms from the frames co-moving with an accelerated particle for uniform circular or linear motion into an inertial frame of reference. The solutions presented here will be of great interest for real-time applications because earth-bound laboratories are inertial only in approximation. The motivation behind this is that real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames. The book is divided into three main sections: the first deals with the theory of dynamics, while the second section deals with the application of theory to the derivation of the relativistic fictitious forces (Coriolis, centrifugal and Euler) occurring in a rotating frame and D'Alembert for a linearly accelerated frame. The third section deals with the Thomas Wigner effect. This is the first book on the subject and it will be of great interest for physics students, physics professors, and engineers.
Download or read book Essential Relativity written by W. Rindler and published by Springer. This book was released on 2013-04-17 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to bring the full range of relativity theory within reach of advanced undergraduates, while containing enough new material and simplifications of old arguments so as not to bore the expert teacher. Roughly equal coverage is given tospecial relativity, general relativity, and cosmology. With many judicious omissions it can be taught in one semester, but it would better serve as the basis of a year's work. It is my hope, anyway, that its level and style of presentation may appeal also to wider c1asses of readers unrestricted by credit considerations. General relativity, the modern theory of gravitation in which free particles move along "straightest possible" lines in curved spacetime, and cosmology, with its dynamics for the whole possibly curved uni verse, not only seem necessary for a scientist's balanced view of the world, but offer some of the greatest intellectual thrills of modern physics. Nevertheless, considered luxuries, they are usu ally squeezed out of the graduate curriculum by the pressure of specialization. Special relativity escapes this tag with a ven geance, and tends to be taught as a pure service discipline, with too little emphasis on its startling ideas. What better time, there fore, to enjoy these subjects for their own sake than as an und- v vi PREFACE graduate? In spite of its forbidding mathematical reputation, even general relativity is accessible at that stage.
Download or read book Relativity written by Wolfgang Rindler and published by Oxford University Press on Demand. This book was released on 2006-04-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.
Download or read book Special Relativity Tensors And Energy Tensor With Worked Problems written by Somnath Datta and published by World Scientific. This book was released on 2021-03-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
Download or read book Introduction to General Relativity written by H. A. Atwater and published by Elsevier. This book was released on 2013-10-22 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to General Relativity is an introductory text on the concepts and modes of calculation used in general relativity. Topics covered range from Newton's laws of motion and the Galilean transformation to tensor analysis, equations of motion of free particles, electromagnetism, and gravitational fields and waves. Solutions of the field equations are also given. The emphasis is on the actual performance of relativistic calculations, rather than on mathematical rigor or exhaustive completeness. This volume is comprised of nine chapters and begins with an overview of the theory of relativity, which includes special relativity and general relativity. The discussion then turns to Newton's laws of motion and the Galilean transformation, electromagnetism and the Galilean transformation, and the Lorentz transformation. Subsequent chapters explore tensor analysis; equations of motion of free particles; gravitational fields and waves; relativity in cosmology; and unified theories and quantized theories of general relativity. The final chapter is devoted to Minkowski's coordinates and orthogonal transformations. This book will be a valuable resource for students of physics.
Download or read book Relativity written by Asghar Qadir and published by World Scientific. This book was released on 1989 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Relativity The Special and General Theory written by Albert Einstein and published by CreateSpace. This book was released on 2014-10-04 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativity: The Special and the General Theory began as a short paper and was eventually published as a book written by Albert Einstein with the aim of giving: . . . an exact insight into the theory of relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics
Download or read book Introduction to Special Theory of Relativity written by Somnath Datta and published by Allied Publishers. This book was released on with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Physical and Mathematical Foundations of the Theory of Relativity written by Antonio Romano and published by Springer Nature. This book was released on 2019-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
Download or read book Special Relativity written by Michael Tsamparlis and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.
Download or read book The Universe of General Relativity written by A.J. Kox and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists
Download or read book Physical Relativity written by Harvey R. Brown and published by Clarendon Press. This book was released on 2005-11-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity. Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.
Download or read book Introduction to Special Relativity written by Robert Resnick and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an excellent introduction to the theory of special relativity. Professor Resnick presents a fundamental and unified development of the subject with unusually clear discussions of the aspects that usually trouble beginners. He includes, for example, a section on the common sense of relativity. His presentation is lively and interspersed with historical, philosophical and special topics (such as the twin paradox) that will arouse and hold the reader's interest. You'll find many unique features that help you grasp the material, such as worked-out examples,summary tables,thought questions and a wealth of excellent problems. The emphasis throughout the book is physical. The experimental background, experimental confirmation of predictions, and the physical interpretation of principles are stressed. The book treats relativistic kinematics, relativistic dynamics, and relativity and electromagnetism and contains special appendices on the geometric representation of space-time and on general relativity. Its organization permits an instructor to vary the length and depth of his treatment and to use the book either with or following classical physics. These features make it an ideal companion for introductory courses.
