Relativity in Rotating Frames

Relativity in Rotating Frames
Title Relativity in Rotating Frames PDF eBook
Author G. Rizzi
Publisher Springer Science & Business Media
Pages 462
Release 2013-03-09
Genre Science
ISBN 9401705283

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Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Relativity in Rotating Frames

Relativity in Rotating Frames
Title Relativity in Rotating Frames PDF eBook
Author Guido Rizzi
Publisher Springer Science & Business Media
Pages 484
Release 2003-12-31
Genre Science
ISBN 9781402018053

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Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Relativity in Rotating Frames

Relativity in Rotating Frames
Title Relativity in Rotating Frames PDF eBook
Author Guido Rizzi
Publisher Springer
Pages 456
Release 2014-03-14
Genre Science
ISBN 9789401705295

Download Relativity in Rotating Frames Book in PDF, Epub and Kindle

Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Special Relativity in General Frames

Special Relativity in General Frames
Title Special Relativity in General Frames PDF eBook
Author Éric Gourgoulhon
Publisher Springer Science & Business Media
Pages 800
Release 2013-08-20
Genre Science
ISBN 3642372767

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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)

Relativistic Forces in Special and General Relativity

Relativistic Forces in Special and General Relativity
Title Relativistic Forces in Special and General Relativity PDF eBook
Author Adrian Sfarti
Publisher
Pages 0
Release 2023-03-28
Genre
ISBN 9781527595248

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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.

Modern Classical Physics

Modern Classical Physics
Title Modern Classical Physics PDF eBook
Author Kip S. Thorne
Publisher Princeton University Press
Pages 1551
Release 2017-09-05
Genre Science
ISBN 0691159025

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A groundbreaking text and reference book on twenty-first-century classical physics and its applications This first-year graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available

Rotating Relativistic Stars

Rotating Relativistic Stars
Title Rotating Relativistic Stars PDF eBook
Author John L. Friedman
Publisher Cambridge University Press
Pages 435
Release 2013-02-11
Genre Science
ISBN 1107310601

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The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.