November 24, 2020

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Tensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology
Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Academic Press
Release Date : 2015-07-08
Category : Science
Total pages :276
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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

Tensors, Relativity and Cosmology

Tensors, Relativity and Cosmology
Author : Eric A. Lord
Publisher : Unknown
Release Date : 1976
Category : Algebras, Linear
Total pages :208
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Tensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology
Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Gulf Professional Publishing
Release Date : 2005-04-04
Category : Science
Total pages :280
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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

An Introduction to Tensor Calculus

An Introduction to Tensor Calculus
Author : Derek F. Lawden
Publisher : Courier Corporation
Release Date : 2012-03-07
Category : Science
Total pages :224
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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.

Lectures on General Relativity and Cosmology

Lectures on General Relativity and Cosmology
Author : Jayant Vishnu Narlikar
Publisher : Unknown
Release Date : 1979
Category : Astrophysics
Total pages :277
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An Introduction to General Relativity and Cosmology

An Introduction to General Relativity and Cosmology
Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Release Date : 2006-08-14
Category : Science
Total pages :129
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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 in this book they 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. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

An Introduction to Tensor Calculus and Relativity

An Introduction to Tensor Calculus and Relativity
Author : Derek Frank Lawden
Publisher : Unknown
Release Date : 2013-08
Category :
Total pages :184
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Cosmology in Scalar-Tensor Gravity

Cosmology in Scalar-Tensor Gravity
Author : Valerio Faraoni
Publisher : Springer Science & Business Media
Release Date : 2004-03-31
Category : Science
Total pages :274
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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.

Exam Prep for: Tensors, Relativity, and Cosmology

Exam Prep for: Tensors, Relativity, and Cosmology
Author : Anonim
Publisher : Unknown
Release Date : 2020
Category :
Total pages :129
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Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology
Author : Ta-Pei Cheng
Publisher : Oxford University Press
Release Date : 2010-01
Category : Science
Total pages :435
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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.

Einstein's General Theory of Relativity

Einstein's General Theory of Relativity
Author : Øyvind Grøn,Sigbjorn Hervik
Publisher : Springer Science & Business Media
Release Date : 2007-05-04
Category : Science
Total pages :538
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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.

A College Course on Relativity and Cosmology

A College Course on Relativity and Cosmology
Author : Ta-Pei Cheng,Brian H. Benedict
Publisher : Oxford University Press, USA
Release Date : 2015-06-18
Category : Science
Total pages :292
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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.

General Relativity, Astrophysics, and Cosmology

General Relativity, Astrophysics, and Cosmology
Author : A.K. Raychaudhuri,S. Banerji,A. Banerjee
Publisher : Springer Science & Business Media
Release Date : 2003-11-14
Category : Science
Total pages :312
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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 Short Course in General Relativity

A Short Course in General Relativity
Author : James A. Foster,J. David Nightingale
Publisher : Springer Science & Business Media
Release Date : 2010-04-30
Category : Science
Total pages :292
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Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.

A Primer in Tensor Analysis and Relativity

A Primer in Tensor Analysis and Relativity
Author : Ilya L. Shapiro
Publisher : Springer Nature
Release Date : 2019-08-30
Category : Science
Total pages :324
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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.