Fundamental Principles Of General Relativity Theories

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Fundamental Principles of General Relativity Theories

Author : Hans-Jurgen Treder,Horst-Heino Von Borzeszkowski,Alwyn Van der Merwe,Wolfgang Yourgrau
Publisher : Unknown
Page : 216 pages
File Size : 53,8 Mb
Release : 1980
Category : Electronic
ISBN : 0608054577

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Fundamental Principles of General Relativity Theories by Hans-Jurgen Treder,Horst-Heino Von Borzeszkowski,Alwyn Van der Merwe,Wolfgang Yourgrau Pdf

Fundamental Principles of General Relativity Theories

Author : H. Treder
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 53,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475708486

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Fundamental Principles of General Relativity Theories by H. Treder Pdf

The present monograph is not a self-contained introductory text. Instead it presupposes to a large extent that the reader is not only thoroughly familiar with the special theory of relativity, but that he or she has studied the standard aspects of the general theory, as weIl. Starting from local and global formulations of the principlcs of inertia and relativity, we discuss the microscopic ancl telcscopic aspects of gravitation. Our central goal has been to demonstrate that the foundations of gravitational theory laid by Newton and Einstein imply questions on thc relation betwecn the micro- and macrocosm. The discussions surrounding these physical points can be rather weH understood without an elaborate mathcmatical formalism. All the same, we have attempted to make the main theme of our presentation accessible also to readers outside the circle of pundits by including two appendixes of a largely instructional nature. Appendix A gives a brief review of the basic concepts of four-dimensional spaces, for the convenience of readers who need 9 Preface such a recapitulation, while Appendix B deals with the more exotic notions of tetrad theory, which admittedly stands in wider need of elucidation. Both appendixes are meant in any event to serve the useful purpose of establishing our notation and collecting formulas for easy reference in the main body of the book. The general reader may accordingly find it helpful first to peruse one or both of the appendixes before turning to the Introduction and Chapter 1. H. -j.

On General Relativity

Author : André Mercier,Hans Jürgen Treder,Wolfgang Yourgrau
Publisher : Unknown
Page : 168 pages
File Size : 48,8 Mb
Release : 1979
Category : General relativity (Physics)
ISBN : UCAL:B4510904

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On General Relativity by André Mercier,Hans Jürgen Treder,Wolfgang Yourgrau Pdf

FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition

Author : KRORI, K. D.
Publisher : PHI Learning Pvt. Ltd.
Page : 332 pages
File Size : 41,7 Mb
Release : 2024-07-01
Category : Science
ISBN : 9789388028684

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FUNDAMENTALS OF SPECIAL AND GENERAL RELATIVITY, Revised Edition by KRORI, K. D. Pdf

Relativity, apart from quantum mechanics, is the greatest wonder in science, unfolded single-handedly in the 20th century by Albert Einstein. The scientist developed general relativity as a logical sequel to special relativity. This comprehensive book presents explication of the conceptual evolution and mathematical derivations of the theories of special and general relativity. The book follows an Einsteinian approach while explaining the concepts and the theories of relativity. Divided into 14 chapters, the revised edition of the book covers elementary concepts of Special relativity, as well as the advanced studies on General relativity. The recent theories like Kerr geometry, Sagnac effect, Vaidya geometry, Raychaudhuri equation and Gravitation physics vis-à-vis Quantum physics are presented in easy-to-understand language and simple style. In addition to it, the book gives an in-depth analysis on the applications of advanced theories like Vaidya-Krori-Barua solution from author’s own research works. Apart from that, the book also discusses some of the isotropic and anisotropic cosmological models, in detail. The salient topics discussed in the revised edition of the book are extrinsic curvature, detection of gravitational waves, early universe, evolution of a dead star into a white dwarf or a neutron star or a black hole, dark matter and dark energy. This book is intended for the undergraduate and postgraduate students of Physics and Mathematics. KEY FEATURES • Step-by-step derivation of equations • Easy demagogic approach • Review questions to widen the analytical understanding of the students

On General Relativity

Author : A. Mercier,H.-J. Treder,W. Yourgrau
Publisher : Walter de Gruyter GmbH & Co KG
Page : 156 pages
File Size : 47,7 Mb
Release : 1979-12-31
Category : Science
ISBN : 9783112729076

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On General Relativity by A. Mercier,H.-J. Treder,W. Yourgrau Pdf

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Relativity Theory

Author : Amos Harpaz
Publisher : A K Peters/CRC Press
Page : 0 pages
File Size : 49,6 Mb
Release : 1993-10-15
Category : Science
ISBN : 1568810261

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Relativity Theory by Amos Harpaz Pdf

Relativity Theory is a scientific explanation of the central ideas of general relativity for readers with modest backgrounds in mathematics and physics. The mathematical discussion is kept informal. Topics include the metric tensor, space dependent metric, four dimensional space, principles of GTR, Einstein's equations, Schwarzschild's solution, cosmological solutions, and relativistic astrophysics phenomena.

Core Principles of Special and General Relativity

Author : James H. Luscombe
Publisher : CRC Press
Page : 388 pages
File Size : 43,7 Mb
Release : 2018-12-07
Category : Science
ISBN : 9780429659539

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Core Principles of Special and General Relativity by James H. Luscombe Pdf

This book provides an accessible, yet thorough, introduction to special and general relativity, crafted and class-tested over many years of teaching. Suitable for advanced undergraduate and graduate students, this book provides clear descriptions of how to approach the mathematics and physics involved. It is also contains the latest exciting developments in the field, including dark energy, gravitational waves, and frame dragging. The table of contents has been carefully developed in consultation with a large number of instructors teaching courses worldwide, to ensure its wide applicability to modules on relativity and gravitation. Features: A clear, accessible writing style, presenting a sophisticated approach to the subject, that remains suitable for advanced undergraduate students and above Class-tested over many years To be accompanied by a partner volume on ‘Advanced Topics’ for students to further extend their learning

Core Principles of Special and General Relativity

Author : James H. Luscombe
Publisher : CRC Press
Page : 401 pages
File Size : 43,7 Mb
Release : 2018-12-07
Category : Science
ISBN : 9780429657092

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Core Principles of Special and General Relativity by James H. Luscombe Pdf

This book provides an accessible, yet thorough, introduction to special and general relativity, crafted and class-tested over many years of teaching. Suitable for advanced undergraduate and graduate students, this book provides clear descriptions of how to approach the mathematics and physics involved. It is also contains the latest exciting developments in the field, including dark energy, gravitational waves, and frame dragging. The table of contents has been carefully developed in consultation with a large number of instructors teaching courses worldwide, to ensure its wide applicability to modules on relativity and gravitation. Features: A clear, accessible writing style, presenting a sophisticated approach to the subject, that remains suitable for advanced undergraduate students and above Class-tested over many years To be accompanied by a partner volume on ‘Advanced Topics’ for students to further extend their learning

Invariance Principles and Extended Gravity

Author : Salvatore Capozziello,Mariafelicia De Laurentis
Publisher : Nova Science Pub Incorporated
Page : 235 pages
File Size : 43,9 Mb
Release : 2010-07-01
Category : Science
ISBN : 161668500X

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Invariance Principles and Extended Gravity by Salvatore Capozziello,Mariafelicia De Laurentis Pdf

This book presents information on the study of gravitational theories which can be seen as modifications or extensions of General Relativity. The basic principles that a gravitational theory should follow, and their geometrical interpretation, are analysed in a broad perspective which highlights the basic assumptions of General Relativity and suggests possible modifications. In particular, the invariance principles that are related to the gravitational field are presented, showing how gravity can emerge as a gauge theory. Also, the boundle approach to gravity and derive geometrical quantities which intervene in the construction of gravitational field are discussed.

Principles of Quantum General Relativity

Author : Eduard Prugove?ki
Publisher : World Scientific
Page : 380 pages
File Size : 43,6 Mb
Release : 1995
Category : Science
ISBN : 981022138X

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Principles of Quantum General Relativity by Eduard Prugove?ki Pdf

This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.

A Broader View of Relativity

Author : Jong-Ping Hsu,Leon Hsu
Publisher : World Scientific
Page : 540 pages
File Size : 47,8 Mb
Release : 2006
Category : Science
ISBN : 9789812774286

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A Broader View of Relativity by Jong-Ping Hsu,Leon Hsu Pdf

A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein''s theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein''s special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and how these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach''s general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Sample Chapter(s). Chapter 1: Introduction and Overview (326 KB). Contents: The Historical and Physical Context of Relativity Theory: Space, Time and Inertial Frames; On the Right Track: Voigt, Lorentz, and Larmor; The Novel Creation of the Young Einstein; A Broader View of Relativity: The Central Role of the Principle of Relativity: Relativity Based Solely on the Principle of Relativity; Experimental Tests I & II; Group Properties of Taiji Relativity and Common Relativity; Common Relativity and Quantum Mechanics; Extended Relativity: A Weaker Postulate for the Speed of Light; The Role of the Principle of Relativity in the Physics of Accelerated Frames: The Principle of Limiting Lorentz and Poincar(r) Invariance; Physical Properties of Spacetime in Accelerated Frames; Dynamics of Classical and Quantum Particles in Constant-Linear-Acceleration Frames; Group and Lie Algebra Properties of Accelerated Spacetime Transformations; Appendices: Systems of Units and the Development of Relativity Theories; Quantum Electrodynamics in Both Linearly Accelerated and Inertial Frames; and other papers. Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.

Studies in the History of General Relativity

Author : Jean Eisenstaedt,A.J. Kox
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 54,5 Mb
Release : 1992-02-07
Category : Science
ISBN : 0817634797

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Studies in the History of General Relativity by Jean Eisenstaedt,A.J. Kox Pdf

Among the considerations of the two dozen papers are the reception and development of Einstein's theory of general relativity in various institutions around the world; conceptual issues of the theory, especially themes, concepts, and principles associated with his theory of gravity; a number of tech

General Relativity and Gravitational Waves

Author : Sanjeev Dhurandhar,Sanjit Mitra
Publisher : Springer Nature
Page : 214 pages
File Size : 44,8 Mb
Release : 2022-02-16
Category : Science
ISBN : 9783030923358

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General Relativity and Gravitational Waves by Sanjeev Dhurandhar,Sanjit Mitra Pdf

This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.

Relativity

Author : Albert Einstein
Publisher : Routledge
Page : 134 pages
File Size : 50,5 Mb
Release : 2013-07-04
Category : Philosophy
ISBN : 9781134596843

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Relativity by Albert Einstein Pdf

Time magazine's "Man of the Century", Albert Einstein is the founder of modern physics and his theory of relativity is the most important scientific idea of the modern era. In this short book, Einstein explains, using the minimum of mathematical terms, the basic ideas and principles of the theory that has shaped the world we live in today. Unsurpassed by any subsequent books on relativity, this remains the most popular and useful exposition of Einstein's immense contribution to human knowledge. With a new foreword by Derek Raine.