Elements of Relativity Theory

Elements of Relativity Theory
Author: Derek F. Lawden
Publisher: Courier Corporation
Total Pages: 130
Release: 2004-01-01
Genre: Science
ISBN: 0486435024

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The basic concepts of relativity theory are conveyed through worked and unworked examples in this text, which requires only elementary algebra and emphasizes physical principles and concepts. 1985 edition.

Elements of General Relativity

Elements of General Relativity
Author: Piotr T. Chruściel
Publisher: Springer Nature
Total Pages: 285
Release: 2020-03-19
Genre: Mathematics
ISBN: 3030284166

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This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

Group Theory and General Relativity

Group Theory and General Relativity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 416
Release: 2000
Genre: Science
ISBN: 9781860942341

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This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Elements and Formulae of Special Relativity

Elements and Formulae of Special Relativity
Author: E. A. Guggenheim
Publisher: Elsevier
Total Pages: 75
Release: 2017-06-23
Genre: Science
ISBN: 1483160017

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Elements and Formulae of Special Relativity presents elements and formulas of the theory of special relativity and covers topics ranging from kinematics and propagation of light to mechanics of single bodies, hydrodynamics, and thermodynamics. Vector operators, electromagnetic fields, electrodynamics, and statistical mechanics are also explored. This book is comprised of 13 chapters and begins by introducing the reader to the kinematics of special relativity, paying particular attention to formulas required for transformations between two frames of reference. Attention then turns to the propagation of light, the Doppler effect, the mechanics of single bodies, and the more general and more powerful approach to relativistic mechanics due to Lagrange and to Hamilton. The chapters that follow focus on formulas for a fluid maintained at a constant uniform pressure; relativistic formulas for thermodynamics; and representation of M-vectors with real components by cartesian 4-vectors with imaginary components. This book also considers the equations for an electromagnetic field in a vacuum and a gaseous phase composed of one or several perfect monatomic gases. A brief historical synopsis is given in the last chapter. This monograph will be useful to chemical physicists and other not-too-theoretical physicists.

The Perfect Theory

The Perfect Theory
Author: Pedro G. Ferreira
Publisher: HMH
Total Pages: 309
Release: 2014-02-04
Genre: Science
ISBN: 0547554907

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“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.

Einstein's Theory

Einstein's Theory
Author: Øyvind Grøn
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2011-08-30
Genre: Science
ISBN: 1461407060

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This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.

Elements of Numerical Relativity and Relativistic Hydrodynamics

Elements of Numerical Relativity and Relativistic Hydrodynamics
Author: Carles Bona
Publisher: Springer Science & Business Media
Total Pages: 226
Release: 2009-07-24
Genre: Science
ISBN: 3642011632

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Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.

Elements of Einstein's Relativity The Special Theory

Elements of Einstein's Relativity The Special Theory
Author: Swapan Kumar Barman
Publisher:
Total Pages: 86
Release: 2021-01-04
Genre:
ISBN: 9789354720970

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The Special Theory of Relativity is one of the revolutionary theories of 20th-century Physics. This book is primarily intended for students of physical science and mathematics at the undergraduate level and the author attempts to make clear the conceptual difficulties that they usually face in their first learning of the subject. A little bit of the historical development of the theory and contributions of a number of scientists in this course is presented in short. General readers with a background and curiosity in science may also find the book interesting if they like to set aside the mathematical complexities.

The Science of Interstellar

The Science of Interstellar
Author: Kip Thorne
Publisher: W. W. Norton & Company
Total Pages: 560
Release: 2014-11-07
Genre: Science
ISBN: 0393351386

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A journey through the otherworldly science behind Christopher Nolan’s award-winning film, Interstellar, from executive producer and Nobel Prize-winning physicist Kip Thorne. Interstellar, from acclaimed filmmaker Christopher Nolan, takes us on a fantastic voyage far beyond our solar system. Yet in The Science of Interstellar, Kip Thorne, the Nobel prize-winning physicist who assisted Nolan on the scientific aspects of Interstellar, shows us that the movie’s jaw-dropping events and stunning, never-before-attempted visuals are grounded in real science. Thorne shares his experiences working as the science adviser on the film and then moves on to the science itself. In chapters on wormholes, black holes, interstellar travel, and much more, Thorne’s scientific insights—many of them triggered during the actual scripting and shooting of Interstellar—describe the physical laws that govern our universe and the truly astounding phenomena that those laws make possible. Interstellar and all related characters and elements are trademarks of and © Warner Bros. Entertainment Inc. (s14).