General Relativistic Dynamics

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General Relativistic Dynamics

Author : Fred I. Cooperstock
Publisher : World Scientific
ISBN 13 : 9814271179
Total Pages : 243 pages
Book Rating : 4.8/5 (142 download)

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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.

General Relativistic Dynamics

Author :
Publisher :
ISBN 13 : 9814468282
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis General Relativistic Dynamics by :

Download or read book General Relativistic Dynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Relativity, Electrodynamics, and General Relativity

Author : John B. Kogut
Publisher : Academic Press
ISBN 13 : 0128137215
Total Pages : 454 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Special Relativity, Electrodynamics, and General Relativity by : John B. Kogut

Download or read book Special Relativity, Electrodynamics, and General Relativity written by John B. Kogut and published by Academic Press. This book was released on 2018-01-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised and expanded second edition with improved figures Enlarged discussion of dynamics and the relativistic version of Newton’s second law Resolves the twin paradox from the principles of special and general relativity Includes new chapters which derive magnetism from relativity and electrostatics Derives Maxwell’s equations from Gauss’ law and the principles of special relativity Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

Relativistic Hydrodynamics

Author : Luciano Rezzolla
Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 744 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Relativistic Hydrodynamics by : Luciano Rezzolla

Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.

Relativistic Quantum Dynamics

Author : Eugene Stefanovich
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110493225
Total Pages : 241 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Relativistic Quantum Dynamics by : Eugene Stefanovich

Download or read book Relativistic Quantum Dynamics written by Eugene Stefanovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics

Special Relativity in General Frames

Author : Éric Gourgoulhon
Publisher : Springer Science & Business Media
ISBN 13 : 3642372767
Total Pages : 784 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Special Relativity in General Frames by : Éric Gourgoulhon

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 784 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)

Relativistic Forces in Special and General Relativity

Author : Adrian Sfarti
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527578526
Total Pages : 335 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Relativistic Forces in Special and General Relativity by : Adrian Sfarti

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.

Advanced Mechanics and General Relativity

Author : Joel Franklin
Publisher : Cambridge University Press
ISBN 13 : 113948902X
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Mechanics and General Relativity by : Joel Franklin

Download or read book Advanced Mechanics and General Relativity written by Joel Franklin and published by Cambridge University Press. This book was released on 2010-07-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

Mass and Motion in General Relativity

Author : Luc Blanchet
Publisher : Springer Science & Business Media
ISBN 13 : 9048130158
Total Pages : 634 pages
Book Rating : 4.0/5 (481 download)

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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.

General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies

Author : Joseph O'Leary
Publisher :
ISBN 13 : 9783030801861
Total Pages : 0 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by : Joseph O'Leary

Download or read book General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies written by Joseph O'Leary and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Owing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author's PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation.

The Perfect Theory

Author : Pedro G. Ferreira
Publisher : HMH
ISBN 13 : 0547554907
Total Pages : 309 pages
Book Rating : 4.5/5 (475 download)

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Book Synopsis The Perfect Theory by : Pedro G. Ferreira

Download or read book The Perfect Theory written by Pedro G. Ferreira and published by HMH. This book was released on 2014-02-04 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: “One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.

Relativistic Point Dynamics

Author : Henri Arzeliès
Publisher : Elsevier
ISBN 13 : 148315226X
Total Pages : 414 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Relativistic Point Dynamics by : Henri Arzeliès

Download or read book Relativistic Point Dynamics written by Henri Arzeliès and published by Elsevier. This book was released on 2016-10-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic Point Dynamics focuses on the principles of relativistic dynamics. The book first discusses fundamental equations. The impulse postulate and its consequences and the kinetic energy theorem are then explained. The text also touches on the transformation of main quantities and relativistic decomposition of force, and then discusses fields of force derivable from scalar potentials; fields of force derivable from a scalar potential and a vector potential; and equations of motion. Other concerns include equations for fields; transfer of the equations obtained by variational methods into the Minkowski continuum; and analysis of the concepts for force and mass. The text also describes the interaction between two electric charges. The selection also discusses the reconsideration of the equivalence of mass and energy; fundamental postulates and general theorem; and relativistic rockets. The text also focuses on elastic collisions between two corpuscles, inelastic collisions, and the Compton effect. The book is a vital source of data for readers wanting to explore relativistic dynamics.

Essential Dynamics and Relativity

Author : Peter J. O’Donnell
Publisher : CRC Press
ISBN 13 : 146658839X
Total Pages : 336 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Essential Dynamics and Relativity by : Peter J. O’Donnell

Download or read book Essential Dynamics and Relativity written by Peter J. O’Donnell and published by CRC Press. This book was released on 2014-11-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Dynamics & Relativity provides students with an introduction to the core aspects of dynamics and special relativity. The author reiterates important ideas and terms throughout and covers concepts that are often missing from other textbooks at this level. He also places each topic within the wider constructs of the theory, without jumping from topic to topic to illustrate a point. The first section of the book focuses on dynamics, discussing the basic aspects of single particle motion and analyzing the motion of multi-particle systems. The book also explains the dynamical behavior of both composite bodies (rigid bodies) and objects in non-inertial frames of reference (rotating reference frames). The second section concentrates on relativity. The author describes the ideas leading to the inception of special relativity. He also formulates fundamental aspects, such as time dilation, length contraction, Lorentz transformations, and the visual aids of Minkowski diagrams, necessary to develop more sophisticated ideas. He then develops the concepts within the context of relativistic mechanics. With many examples throughout and exercises at the end of each chapter, this text makes the often daunting and confusing ideas of dynamics and special relativity accessible to undergraduate students studying the subjects for the first time.

Introduction to Relativistic Statistical Mechanics

Author :
Publisher :
ISBN 13 : 9814464120
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction to Relativistic Statistical Mechanics by :

Download or read book Introduction to Relativistic Statistical Mechanics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical Relativistic Many-Body Dynamics

Author : M.A. Trump
Publisher : Springer Science & Business Media
ISBN 13 : 9780792357377
Total Pages : 392 pages
Book Rating : 4.3/5 (573 download)

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Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump

Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Einstein's Space-Time

Author : Rafael Ferraro
Publisher : Springer Science & Business Media
ISBN 13 : 0387699473
Total Pages : 310 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Einstein's Space-Time by : Rafael Ferraro

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.

Relativity, Thermodynamics, and Cosmology

Author : Richard Chace Tolman
Publisher : Courier Corporation
ISBN 13 : 0486653838
Total Pages : 532 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Relativity, Thermodynamics, and Cosmology by : Richard Chace Tolman

Download or read book Relativity, Thermodynamics, and Cosmology written by Richard Chace Tolman and published by Courier Corporation. This book was released on 1987-01-01 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Landmark study discusses Einstein's theory, extends thermodynamics to special and general relativity, and also develops the applications of relativistic mechanics and thermodynamics to cosmological models.