Tensors, Relativity, and Cosmology

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Publisher : Academic Press
ISBN 13 : 0128034017
Total Pages : 276 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Tensors, Relativity, and Cosmology by : Mirjana Dalarsson

Download or read book Tensors, Relativity, and Cosmology written by Mirjana Dalarsson and published by Academic Press. This book was released on 2015-07-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects, with a final section on cosmology discussing cosmological models, observational tests, and scenarios for the early universe. This fully revised and updated second edition includes new material on relativistic effects, such as the behavior of clocks and measuring rods in motion, relativistic addition of velocities, and the twin paradox, as well as new material on gravitational waves, amongst other topics. Clearly combines relativity, astrophysics, and cosmology in a single volume Extensive introductions to each section are followed by relevant examples and numerous exercises Presents topics of interest to those researching and studying tensor calculus, the theory of relativity, gravitation, cosmology, quantum cosmology, Robertson-Walker Metrics, curvature tensors, kinematics, black holes, and more Fully revised and updated with 80 pages of new material on relativistic effects, such as relativity of simultaneity and relativity of the concept of distance, amongst other topics Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

An Introduction to Tensor Calculus and Relativity

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Publisher :
ISBN 13 : 9781258787417
Total Pages : 184 pages
Book Rating : 4.7/5 (874 download)

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Book Synopsis An Introduction to Tensor Calculus and Relativity by : Derek Frank Lawden

Download or read book An Introduction to Tensor Calculus and Relativity written by Derek Frank Lawden and published by . This book was released on 2013-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensors, Relativity, and Cosmology

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Author :
Publisher : Gulf Professional Publishing
ISBN 13 : 9780122006814
Total Pages : 298 pages
Book Rating : 4.0/5 (68 download)

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Book Synopsis Tensors, Relativity, and Cosmology by : Mirjana Dalarsson

Download or read book Tensors, Relativity, and Cosmology written by Mirjana Dalarsson and published by Gulf Professional Publishing. This book was released on 2005-03-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines relativity, astrophysics, and cosmology in a single volume, providing an introduction to each subject that enables students to understand more detailed treatises as well as the current literature. The section on general relativity gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The next section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects. Lastly, the section on cosmology discusses various cosmological models, observational tests, and scenarios for the early universe. * Clearly combines relativity, astrophysics, and cosmology in a single volume so students can understand more detailed treatises and current literature * Extensive introductions to each section are followed by relevant examples and numerous exercises * Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

Tensors, Relativity and Cosmology

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Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Tensors, Relativity and Cosmology by : Eric A. Lord

Download or read book Tensors, Relativity and Cosmology written by Eric A. Lord and published by . This book was released on 1976 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Tensor Calculus

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Author :
Publisher : Courier Corporation
ISBN 13 : 9780486132143
Total Pages : 224 pages
Book Rating : 4.1/5 (321 download)

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Book Synopsis An Introduction to Tensor Calculus by : Derek F. Lawden

Download or read book An Introduction to Tensor Calculus written by Derek F. Lawden and published by Courier Corporation. This book was released on 2012-03-07 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.

Cosmology in Scalar-Tensor Gravity

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402019883
Total Pages : 296 pages
Book Rating : 4.0/5 (198 download)

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Book Synopsis Cosmology in Scalar-Tensor Gravity by : Valerio Faraoni

Download or read book Cosmology in Scalar-Tensor Gravity written by Valerio Faraoni and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmology in Scalar-Tensor Gravity covers all aspects of cosmology in scalar-tensor theories of gravity. Considerable progress has been made in this exciting area of physics and this book is the first to provide a critical overview of the research. Among the topics treated are: -Scalar-tensor gravity and its limit to general relativity, -Effective energy-momentum tensors and conformal frames, -Gravitational waves in scalar-tensor cosmology, -Specific scalar-tensor theories, -Exact cosmological solutions and cosmological perturbations, -Scalar-tensor scenarios of the early universe and inflation, -Scalar-tensor models of quintessence in the present universe and their far-reaching consequences for the ultimate fate of the cosmos.

Relativity, Gravitation and Cosmology

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Publisher : Oxford University Press
ISBN 13 : 0199573638
Total Pages : 452 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Relativity, Gravitation and Cosmology by : Ta-Pei Cheng

Download or read book Relativity, Gravitation and Cosmology written by Ta-Pei Cheng and published by Oxford University Press. This book was released on 2010 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

Introduction To General Relativity And Cosmology

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Publisher : World Scientific Publishing Company
ISBN 13 : 1786341204
Total Pages : 287 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Introduction To General Relativity And Cosmology by : Christian G Boehmer

Download or read book Introduction To General Relativity And Cosmology written by Christian G Boehmer and published by World Scientific Publishing Company. This book was released on 2016-10-06 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.

An Introduction to General Relativity and Cosmology

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Publisher : Cambridge University Press
ISBN 13 : 9781107407367
Total Pages : 0 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis An Introduction to General Relativity and Cosmology by : Jerzy Plebanski

Download or read book An Introduction to General Relativity and Cosmology written by Jerzy Plebanski and published by Cambridge University Press. This book was released on 2012-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. Many topics are included that are not found in other textbooks.

General Relativity, Astrophysics, and Cosmology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387406282
Total Pages : 316 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis General Relativity, Astrophysics, and Cosmology by : A.K. Raychaudhuri

Download or read book General Relativity, Astrophysics, and Cosmology written by A.K. Raychaudhuri and published by Springer Science & Business Media. This book was released on 2003-11-14 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Primer in Tensor Analysis and Relativity

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Author :
Publisher : Springer Nature
ISBN 13 : 3030268950
Total Pages : 324 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis A Primer in Tensor Analysis and Relativity by : Ilya L. Shapiro

Download or read book A Primer in Tensor Analysis and Relativity written by Ilya L. Shapiro and published by Springer Nature. This book was released on 2019-08-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.

Relativity, Gravitation and Cosmology

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Publisher : Cambridge University Press
ISBN 13 : 9780521131384
Total Pages : 316 pages
Book Rating : 4.1/5 (313 download)

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Book Synopsis Relativity, Gravitation and Cosmology by : Robert J. Lambourne

Download or read book Relativity, Gravitation and Cosmology written by Robert J. Lambourne and published by Cambridge University Press. This book was released on 2010-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. --

Einstein's General Theory of Relativity

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Publisher : Cambridge University Press
ISBN 13 : 1009263714
Total Pages : 215 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Einstein's General Theory of Relativity by : Brian P. Dolan

Download or read book Einstein's General Theory of Relativity written by Brian P. Dolan and published by Cambridge University Press. This book was released on 2023-06-30 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

General Relativity and Cosmology

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Publisher : Springer Nature
ISBN 13 : 303061574X
Total Pages : 315 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis General Relativity and Cosmology by : Ronald J. Adler

Download or read book General Relativity and Cosmology written by Ronald J. Adler and published by Springer Nature. This book was released on 2021-01-22 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters.

Tensor Analysis and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402010552
Total Pages : 250 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis Tensor Analysis and Continuum Mechanics by : Y.R. Talpaert

Download or read book Tensor Analysis and Continuum Mechanics written by Y.R. Talpaert and published by Springer Science & Business Media. This book was released on 2002 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for students in engineering, physics and mathematics. The material can be taught from the beginning of the third academic year. It could also be used for self study, given its pedagogical structure and the numerous solved problems which prepare for modem physics and technology. One of the original aspects of this work is the development together of the basic theory of tensors and the foundations of continuum mechanics. Why two books in one? Firstly, Tensor Analysis provides a thorough introduction of intrinsic mathematical entities, called tensors, which is essential for continuum mechanics. This way of proceeding greatly unifies the various subjects. Only some basic knowledge of linear algebra is necessary to start out on the topic of tensors. The essence of the mathematical foundations is introduced in a practical way. Tensor developments are often too abstract, since they are either aimed at algebraists only, or too quickly applied to physicists and engineers. Here a good balance has been found which allows these extremes to be brought closer together. Though the exposition of tensor theory forms a subject in itself, it is viewed not only as an autonomous mathematical discipline, but as a preparation for theories of physics and engineering. More specifically, because this part of the work deals with tensors in general coordinates and not solely in Cartesian coordinates, it will greatly help with many different disciplines such as differential geometry, analytical mechanics, continuum mechanics, special relativity, general relativity, cosmology, electromagnetism, quantum mechanics, etc ..

General Relativity

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748843
Total Pages : 122 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis General Relativity by : Michael J W Hall

Download or read book General Relativity written by Michael J W Hall and published by Morgan & Claypool Publishers. This book was released on 2018-03-23 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Relativity

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198567316
Total Pages : 447 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Relativity by : Wolfgang Rindler

Download or read book Relativity written by Wolfgang Rindler and published by Oxford University Press on Demand. This book was released on 2006-04-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.