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Practical Relativity

Author: Richard N. Henriksen
Publisher: John Wiley & Sons
ISBN: 111995634X
Size: 47.11 MB
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The book is intended to serve as lecture material for courses on relativity at undergraduate level. Although there has been much written on special relativity the present book will emphasize the real applications of relativity. In addition, it will be physically designed with the use of box summaries so as to allow easy access of practical results. The book will be composed of eight chapters. Chapter 1 will give an introduction to special relativity that is the world without gravity. Implications will be presented with emphasis on time dilation and the Doppler shift as practical considerations. In Chapter 2, the four-vector representation of events will be introduced. The bulk of this chapter will deal with flat space dynamics. This will require the generalization of Newton's first and second laws. Some important astronomical applications will be discussed in Chapter 3 and in Chapter 4 some engineering applications of special relativity such as atomic clocks will be presented. Chapter 5 will be dedicated to the thorny question of gravity. The physical motivation of the theory must be examined and the geometrical interpretation presented. Chapter 6 will present astronomical applications of relativistic gravity. These include the usual solar system tests; light bending, time delay, gravitational red-shift, precession of Keplerian orbits. Chapter 7 will be dedicated to relativistic cosmology. Many of the standard cosmological concepts will be introduced, being mathematically simple but conceptually subtle. The concluding chapter will be largely dedicated to the global positioning system as an engineering problem that requires both inertial and gravitational relativity. The large interferometers designed as gravitational wave telescopes will be discussed here.

Relativity And The Dimensionality Of The World

Author: Vesselin Petkov
Publisher: Springer Science & Business Media
ISBN: 1402063172
Size: 78.15 MB
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The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.

Principles Of Cosmology And Gravitation

Author: Michael V Berry
Publisher: CRC Press
ISBN: 9780852740378
Size: 63.53 MB
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General relativity and quantum mechanics have become the two central pillars of theoretical physics. Moreover, general relativity has important applications in astrophysics and high-energy particle physics. Covering the fundamentals of the subject, Principles of Cosmology and Gravitation describes the universe as revealed by observations and presents a theoretical framework to enable important cosmological formulae to be derived and numerical calculations performed. Avoiding elaborate formal discussions, the book presents a practical approach that focuses on the general theory of relativity. It examines different evolutionary models and the gravitational effects of massive bodies. The book also includes a large number of worked examples and problems, half with solutions.

Relativity Gravitation And Cosmology

Author: Ta-Pei Cheng
Publisher: Oxford University Press
ISBN: 0199573638
Size: 68.24 MB
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This book provides an introduction to Einstein's general theory of relativity. A "physics-first" approach is adopted so that interesting applications come before the more difficult task of solving the Einstein equation. The book includes extensive coverage of cosmology, and is designed to allow readers to study the subject alone.

Fundamental Questions Of Practical Cosmology

Author: Yurij Baryshev
Publisher: Springer Science & Business Media
ISBN: 9789400723795
Size: 65.77 MB
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This book guides readers (astronomers, physicists, and university students) through central questions of Practical Cosmology, a term used by the late Allan Sandage to denote the modern scientific endeavor to find the cosmological model best describing the universe of galaxies, its geometry, size, age, and matter composition. The authors draw on their personal experience in astrophysics and cosmology to explain key concepts of cosmology, both observational and theoretical, and to highlight several items which give cosmology its special character. These highlighted items are: Ideosyncratic features of the “cosmic laboratory”, Malmquist bias in the determination of cosmic distances, Theory of gravitation as a cornerstone of cosmological models, Crucial tests for checking the reality of space expansion, Methods of analyzing the structures of the universe as mapped by galaxies, Usefulness of fractals as a model to describe the large-scale structure and new cosmological physics inherent in the Friedmann world model.

Relativity And Gravitation Classical And Quantum Proceedings Of The 7th Latin American Symposium On Relativity And Gravitation Silarg Vii

Author: Ryan Jr Michael P
Publisher: World Scientific
ISBN: 9814555959
Size: 63.30 MB
Format: PDF
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The study of nonlinear dynamical systems has advanced tremendously in the last 15 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 100 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing.

Relativity Gravitation And Cosmology

Author: Robert J. Lambourne
Publisher: Cambridge University Press
ISBN: 9780521131384
Size: 50.13 MB
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The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --

A First Course In General Relativity

Author: Bernard Schutz
Publisher: Cambridge University Press
ISBN: 0521887054
Size: 74.75 MB
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Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Abc Of Relativity

Author: Bertrand Russell
Publisher: Psychology Press
ISBN: 9780415154291
Size: 24.96 MB
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Ask a dozen people to name a genius and the odds are that 'Einstein' will spring to their lips. Ask them the meaning of 'relativity' and few of them will be able to tell you what it is. The basic principles of relativity have not changed since Russell first published his lucid guide for the general reader. The ABC of Relativity is Bertrand Russell's most brilliant work of scientific popularisation. With marvellous lucidity he steers the reader who has no knowledge of maths or physics through the subtleties of Einstein's thinking. In easy, assimilable steps, he explains the theories of special and general relativity and describes their practical application to, amongst much else, discoveries about gravitation and the invention of the hydrogen bomb.