Applied General Relativity

Applied General Relativity PDF Author: Michael H. Soffel
Publisher: Springer Nature
ISBN: 3030196739
Category : Science
Languages : en
Pages : 540

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Book Description
In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Applied General Relativity

Applied General Relativity PDF Author: Michael H. Soffel
Publisher: Springer Nature
ISBN: 3030196739
Category : Science
Languages : en
Pages : 540

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Book Description
In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large Baseline Interferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

General Relativity

General Relativity PDF Author: Norbert Straumann
Publisher: Springer Science & Business Media
ISBN: 3662118270
Category : Science
Languages : en
Pages : 674

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Book Description
The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system

General Relativity and its Applications

General Relativity and its Applications PDF Author: Valeria Ferrari
Publisher: CRC Press
ISBN: 0429957807
Category : Science
Languages : en
Pages : 494

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Book Description
• Provides a self-contained and consistent treatment of the subject that does not require advanced previous knowledge of the field. • Explores the subject with a new focus on gravitational waves and astrophysical relativity, unlike current introductory textbooks. • Fully up-to-date, containing the latest developments and discoveries in the field.

Geometric Theory of Generalized Functions with Applications to General Relativity

Geometric Theory of Generalized Functions with Applications to General Relativity PDF Author: M. Grosser
Publisher: Springer Science & Business Media
ISBN: 9401598452
Category : Mathematics
Languages : en
Pages : 517

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Book Description
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.

Gravitation and Cosmology

Gravitation and Cosmology PDF Author: Steven Weinberg
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 696

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Book Description
Weinberg's 1972 work, in his description, had two purposes. The first was practical to bring together and assess the wealth of data provided over the previous decade while realizing that newer data would come in even as the book was being printed. He hoped the comprehensive picture would prepare the reader and himself to that new data as it emerged. The second was to produce a textbook about general relativity in which geometric ideas were not given a starring role for (in his words) too great an emphasis on geometry can only obscure the deep connections between gravitation and the rest of physics.

Group Theory and General Relativity

Group Theory and General Relativity PDF Author: Moshe Carmeli
Publisher: World Scientific
ISBN: 9781860942341
Category : Science
Languages : en
Pages : 416

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Book Description
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.

A First Course in General Relativity

A First Course in General Relativity PDF Author: Bernard Schutz
Publisher: Cambridge University Press
ISBN: 0521887054
Category : Science
Languages : en
Pages : 411

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Book Description
Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Einstein's General Theory of Relativity

Einstein's General Theory of Relativity PDF Author: Øyvind Grøn
Publisher: Springer Science & Business Media
ISBN: 0387692002
Category : Science
Languages : en
Pages : 540

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Book Description
This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

Applications of General Relativity

Applications of General Relativity PDF Author: Philippe Jetzer
Publisher: Springer Nature
ISBN: 3030957187
Category : Science
Languages : en
Pages : 203

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Book Description
The aim of this textbook is to present in a comprehensive way several advanced topics of general relativity, including gravitational waves, tests of general relativity, time delay, spinors in curved spacetime, Hawking radiation, and geodetic precession to mention a few. These are all important topics in today's research activities from both a theoretical and experimental point of view. This textbook is designed for advanced undergraduate and graduate students to strengthen the knowledge acquired during the core courses on General Relativity. The author developed the book from a series of yearly lectures with the intention of offering a gentle introduction to the field. This book helps understanding the more specialized literature and can be used as a first reading to get quickly into the field when starting research. Chapter-end exercises complete the learning material to master key concepts.

Introduction to General Relativity

Introduction to General Relativity PDF Author: Ronald Adler
Publisher: McGraw-Hill Companies
ISBN:
Category : Science
Languages : en
Pages : 580

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Book Description