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Relativity

Special, General, and Cosmological
Author: Wolfgang Rindler
Publisher: Oxford University Press on Demand
ISBN: 0198567316
Category: Science
Page: 430
View: 5625
This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.

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Relativity

Special, General, and Cosmological
Author: Wolfgang Rindler
Publisher: OUP Oxford
ISBN: 0198567324
Category: Science
Page: 448
View: 9185
A modern thinking person's guide to all of Einstein's relativity. Full of mathematical rigor, but stressing physical insight, motivation, and clarity of concepts and logic, rather than mere formalism or experimental detail. Over 300 thought-provoking problems.

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Relativity

Special, General, and Cosmological
Author: Wolfgang Rindler
Publisher: Oxford University Press
ISBN: 0198508352
Category: Science
Page: 428
View: 1157
'... it would be an excellent basis for work in general relativity and cosmology... a first class presentation of the intellectual glory of the first century of relativity.' Times Higher Education SupplementThis book is a considerable amplification and modernisation of the authors' earlier Essential Relativity. It aims to bring the challenge and excitement of modern relativity and cosmology at rigourous mathematical level within reach of advanced undergraduates and beginning graduates, while containing enough new material to interest the experienced lecturer.

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Essential Relativity

Special, General, and Cosmological
Author: W. Rindler
Publisher: Springer
ISBN: 1475711352
Category: Science
Page: 319
View: 1786
This book is an attempt to bring the full range of relativity theory within reach of advanced undergraduates, while containing enough new material and simplifications of old arguments so as not to bore the expert teacher. Roughly equal coverage is given tospecial relativity, general relativity, and cosmology. With many judicious omissions it can be taught in one semester, but it would better serve as the basis of a year's work. It is my hope, anyway, that its level and style of presentation may appeal also to wider c1asses of readers unrestricted by credit considerations. General relativity, the modern theory of gravitation in which free particles move along "straightest possible" lines in curved spacetime, and cosmology, with its dynamics for the whole possibly curved uni verse, not only seem necessary for a scientist's balanced view of the world, but offer some of the greatest intellectual thrills of modern physics. Nevertheless, considered luxuries, they are usu ally squeezed out of the graduate curriculum by the pressure of specialization. Special relativity escapes this tag with a ven geance, and tends to be taught as a pure service discipline, with too little emphasis on its startling ideas. What better time, there fore, to enjoy these subjects for their own sake than as an und- v vi PREFACE graduate? In spite of its forbidding mathematical reputation, even general relativity is accessible at that stage.

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Cosmological Special Relativity

The Large-Scale Structure of Space, Time and Velocity
Author: Moshe Carmeli
Publisher: World Scientific
ISBN: 9814488674
Category: Science
Page: 224
View: 908
This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians. Contents: Cosmological Special RelativityExtension of the Lorentz Group to CosmologyFundamentals of Einstein's Special RelativityStructure of Space-TimeThe Light ConeMass, Energy and MomentumVelocity, Acceleration and Cosmic DistancesFirst Days of the UniverseCosmological General RelativityFive-Dimensional Brane World TheoryCosmic Temperature Decline Readership: Astrophysicists, cosmologists, theoretical physicists and mathematical physicists. Keywords:Cosmological Special Relativity;Cosmological Transformation;The Galaxy Cone;Minimal Acceleration in Nature;Fundamentals of Einstein's Special Relativity;Structure of Spacetime;Mass, Energy and Momentum;Relation and Difference Between Einstein's Special Relativity and Cosmological Special Relativity;First Days of the Universe;Cosmological General Relativity;Five-Dimensional Brane World Theory;Cosmological ConstantReviews:“‘Cosmological Special Relativity’ is a remarkable achievement. It elegantly brings together the basic ideas of Einstein's Special and General Theories of Relativity with the group theoretical approach to cosmology which was recently developed by Prof Carmeli.”Shimon Malin Colgate University, USA “In this skillfully written monograph, cardinal problems of nowadays cosmology are discussed in a new unusual way and successfully solved in the framework of the author's new theory. Owing to the very clear pedagogical language and to the carefully selected examples, tables and figures the book may be recommended for students and searchers in cosmology and related areas.”Mark Israelit University of Haifa-Oranim, Israel From a review of the first edition: “The book is written in a very clear and pedagogical way, and emphasis is placed on conceptual rather than on formal developments. Some of its chapters constitute in their own right an excellent introductory text on special relativity.”Mathematical Reviews

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Relativity, Gravitation and Cosmology

A Basic Introduction
Author: Ta-Pei Cheng
Publisher: Oxford University Press
ISBN: 0199573638
Category: Science
Page: 435
View: 9636
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.

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Cosmological Relativity

The Special and General Theories for the Structure of the Universe
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
ISBN: 9813106840
Category: Science
Page: 152
View: 7760
The theory presented in this book is a combination of Einstein's original special and general relativity, but now the starting point is not the propagation of light but the expansion of the Universe. The traditional Hubble constant H0 (which is not constant) is called in this book the Hubble parameter. Its value at low gravity is denoted by h, and its reciprocal is denoted by τ. Thus τ is the Big Bang time (some authors call it the Hubble-Carmeli constant). This is actually the only constant that appears in this theory, just as c is the only constant that appears in Einstein's theory. There is no cosmological constant but there is a critical mass density. The theory presents general relativity in the space-velocity (of the receding galaxies) which is later on extended to include the time dimension. So far all experimental findings are satisfied by this theory.

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Relativity, Gravitation and Cosmology


Author: Robert J. Lambourne
Publisher: Cambridge University Press
ISBN: 9780521131384
Category: Science
Page: 312
View: 1945
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. --

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General Relativity, Astrophysics, and Cosmology


Author: A.K. Raychaudhuri,S. Banerji,A. Banerjee
Publisher: Springer Science & Business Media
ISBN: 9780387406282
Category: Science
Page: 312
View: 464
For about half a century the general theory of relativity attracted little attention from physicists. However, the discovery of compact objects such as quasars and pulsars, as well as candidates for black holes on the one hand, and the microwave background radiation on the other hand completely changed the picture. In addition, developments in elementary particle physics, such as predictions of the behavior of matter at the ultrahigh energies that might have prevailed in the early stages of the big bang, have greatly en hanced the interest in general relativity. These developments created a large body of readers interested in general relativity, and its applications in astrophysics and cosmology. Having neither the time nor the inclination to delve deeply into the technical literature, such readers need a general introduction to the subject before exploring applica tions. It is for these readers that the present volume is intended. Keeping in mind the broad range of interests and wanting to avoid mathematical compli cations as much as possible, we have ventured to combine all three topics relativity, astrophysics, and cosmology-in a single volume. Naturally, we had to make a careful selection of topics to be discussed in order to keep the book to a manageable length.

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Relativity, Thermodynamics, and Cosmology


Author: Richard Chace Tolman
Publisher: Courier Corporation
ISBN: 0486653838
Category: Science
Page: 501
View: 5645
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.

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Principles of Cosmology and Gravitation


Author: Michael V Berry
Publisher: CRC Press
ISBN: 9780852740378
Category: Science
Page: 179
View: 2169
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.

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Relativity

Modern Large-scale Spacetime Structure of the Cosmos
Author: Moshe Carmeli
Publisher: World Scientific
ISBN: 9812813756
Category: Science
Page: 524
View: 7904
This book describes Carmeli's cosmological general and special relativity theory, along with Einstein's general and special relativity. These theories are discussed in the context of Moshe Carmeli's original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully-Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters.The book gives the derivation of the Lorentz transformation, which is used in both Einstein's special relativity and Carmeli's cosmological special relativity theory. The text also provides the mathematical theory of curved space?time geometry, which is necessary to describe both Einstein's general relativity and Carmeli's cosmological general relativity. A comparison between the dynamical and kinematic aspects of the expansion of the universe is made. Comparison is also made between the Friedmann-Robertson-Walker theory and the Carmeli theory. And neither is it necessary to assume the existence of dark matter to correctly describe the expansion of the cosmos.

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Introduction to General Relativity, Black Holes, and Cosmology


Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press, USA
ISBN: 0199666466
Category: Science
Page: 279
View: 6056
General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

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Introduction to Special Relativity


Author: Wolfgang Rindler
Publisher: Oxford University Press on Demand
ISBN: 0198539525
Category: Science
Page: 169
View: 7004
This text is more conceptually and mathematically than experimentally orientated, elaborating on the underlying logic and dwelling on the subleties and apparent paradoxes. In this updated edition additional examples and problems have been included.

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The Renaissance of General Relativity and Cosmology

A Survey to Celebrate the 65th Birthday of Dennis Sciama
Author: George Ellis,Antonio Lanza,John Miller
Publisher: Cambridge University Press
ISBN: 9780521021081
Category: Science
Page: 344
View: 6093
The past forty years have been a time of spectacular development in the study of general relativity and cosmology. A special role in this has been played by the influential research groups led by Dennis Sciama in Cambridge, Oxford, and Trieste. In April 1992 many of his ex-students and collaborators came to Trieste (where he is currently Professor) for a review meeting to celebrate his 65th birthday. This book consists of written versions of the talks presented which, taken together, comprise an authoritative overview of developments which have taken place during his career to date. The topics covered include fundamental questions in general relativity and cosmology, black holes, active galactic nuclei, galactic structure, dark matter, and large scale structure.

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Special Relativity, Electrodynamics, and General Relativity

From Newton to Einstein
Author: John B. Kogut
Publisher: Academic Press
ISBN: 0128137215
Category: Science
Page: 454
View: 954
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

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Einstein's General Theory of Relativity

With Modern Applications in Cosmology
Author: Øyvind Grøn,Sigbjorn Hervik
Publisher: Springer Science & Business Media
ISBN: 0387692002
Category: Science
Page: 538
View: 6131
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.

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A College Course on Relativity and Cosmology


Author: Ta-Pei Cheng,Brian H. Benedict
Publisher: Oxford University Press, USA
ISBN: 0199693412
Category: Science
Page: 292
View: 3399
Einstein's general theory of relativity is introduced in this advanced undergraduate textbook. Without an over emphasis on the difficult mathematics of tensor analysis, the book presents the curved spacetime theory of gravitation. The phenomena of gravitational light deflection, the precession of a planet's orbit, and black holes are discussed with technical detail. The book has an extensive treatment of cosmology from primordial inflation, cosmic microwavebackground to the dark energy that propels an accelerating universe. The book is the undergraduate edition of the author's previous work, Relativity, Gravitation and Cosmology: A Basic Introduction,published as part of the Oxford Master Series in Physics. This college edition concentrates on the core elements of the subject making it suitable for a one-semester course at the undergraduate level. It can also serve as an accessible introduction to general relativity and cosmology for those readers who want to study the subject on their own.


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General Relativity

An Introduction to Black Holes, Gravitational Waves, and Cosmology
Author: Michael J W Hall
Publisher: Morgan & Claypool Publishers
ISBN: 1681748843
Category: Science
Page: 138
View: 9807
This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.