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Tensors Relativity And Cosmology

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Tensors Relativity and Cosmology

Tensors  Relativity  and Cosmology Book
Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Academic Press
Release : 2015-07-08
ISBN : 0128034017
Language : En, Es, Fr & De

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Book Description :

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

An Introduction to Tensor Calculus Book
Author : Derek F. Lawden
Publisher : Courier Corporation
Release : 2012-03-07
ISBN : 9780486132143
Language : En, Es, Fr & De

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Book Description :

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.

An Introduction to Tensor Calculus and Relativity

An Introduction to Tensor Calculus and Relativity Book
Author : Derek F. Lawden
Publisher : Unknown
Release : 1967
ISBN : 9780416431407
Language : En, Es, Fr & De

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Book Description :

Download An Introduction to Tensor Calculus and Relativity book written by Derek F. Lawden, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

An Introduction to General Relativity and Cosmology

An Introduction to General Relativity and Cosmology Book
Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Release : 2006-08-14
ISBN : 113945840X
Language : En, Es, Fr & De

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Book Description :

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.

Cosmology in Scalar Tensor Gravity

Cosmology in Scalar Tensor Gravity Book
Author : Valerio Faraoni
Publisher : Springer Science & Business Media
Release : 2004-03-31
ISBN : 9781402019883
Language : En, Es, Fr & De

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Book Description :

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

Relativity  Gravitation and Cosmology Book
Author : Ta-Pei Cheng
Publisher : Oxford University Press
Release : 2010-01
ISBN : 0199573638
Language : En, Es, Fr & De

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Book Description :

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.

Homogeneous Relativistic Cosmologies

Homogeneous Relativistic Cosmologies Book
Author : Michael P. Ryan,Lawrence C. Shepley
Publisher : Princeton University Press
Release : 2015-03-08
ISBN : 1400868564
Language : En, Es, Fr & De

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Book Description :

Addressing a variety of theoretical cosmological problems, and emphasizing a mathematical approach, this volume nicely complements Peebles' Physical Cosmology (Princeton Series in Physics, 1971). Ryan and Shepley have concentrated on the structure of models of the universe. By using a modern terminology that emphasizes the operator nature of vectors and tensors, as opposed to their components in a particular coordinate system, the authors develop modern tensor analysis to the point where it can be applied to general relativistic cosmology. They then use it to describe homogeneous cosmologies in considerable detail. Both students and researchers are likely to find these techniques especially useful. Among their subjects are: spaces with groups of motions; singularities; Taub-NUT-Misner space; Bianchitype models; Hamiltonian cosmology; and perturbations in anisotropic models. A brief section on observations is also included, as is a complete bibliography. A final section presents graded exercises that underscore the potential yet unrealized in this area of study. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Lectures on General Relativity and Cosmology

Lectures on General Relativity and Cosmology Book
Author : Jayant Vishnu Narlikar
Publisher : Palgrave
Release : 2013-12-31
ISBN : 9781349039692
Language : En, Es, Fr & De

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Book Description :

Download Lectures on General Relativity and Cosmology book written by Jayant Vishnu Narlikar, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Einstein s General Theory of Relativity

Einstein s General Theory of Relativity Book
Author : Øyvind Grøn,Sigbjorn Hervik
Publisher : Springer Science & Business Media
Release : 2007-08-24
ISBN : 0387692002
Language : En, Es, Fr & De

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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.

Tensors Relativity and Cosmology

Tensors  Relativity  and Cosmology Book
Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Gulf Professional Publishing
Release : 2005-04-04
ISBN : 9780122006814
Language : En, Es, Fr & De

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Book Description :

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

A College Course on Relativity and Cosmology

A College Course on Relativity and Cosmology Book
Author : Ta-Pei Cheng,Brian H. Benedict
Publisher : Oxford University Press, USA
Release : 2015-06-18
ISBN : 0199693412
Language : En, Es, Fr & De

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Book Description :

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 Book
Author : A.K. Raychaudhuri,S. Banerji,A. Banerjee
Publisher : Springer Science & Business Media
Release : 2003-11-14
ISBN : 9780387406282
Language : En, Es, Fr & De

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Book Description :

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.

Introduction To General Relativity And Cosmology

Introduction To General Relativity And Cosmology Book
Author : Christian G Boehmer
Publisher : World Scientific Publishing Company
Release : 2016-10-06
ISBN : 1786341204
Language : En, Es, Fr & De

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Book Description :

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.

General Relativity and Cosmology

General Relativity and Cosmology Book
Author : Ronald J. Adler
Publisher : Springer Nature
Release : 2021-01-22
ISBN : 303061574X
Language : En, Es, Fr & De

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Book Description :

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.

General Relativity

General Relativity Book
Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
Release : 2018-03-23
ISBN : 1681748843
Language : En, Es, Fr & De

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Book Description :

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.

Tensors Relativity and Cosmology

Tensors  Relativity and Cosmology Book
Author : Eric A. Lord
Publisher : Unknown
Release : 1976
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Tensors Relativity and Cosmology book written by Eric A. Lord, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Relativity and Cosmology

Relativity and Cosmology Book
Author : Kip S. Thorne,Roger D. Blandford
Publisher : Princeton University Press
Release : 2021-05-25
ISBN : 0691215545
Language : En, Es, Fr & De

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Book Description :

A groundbreaking textbook on twenty-first-century general relativity and cosmology Kip Thorne and Roger Blandford’s monumental Modern Classical Physics is now available in five stand-alone volumes that make ideal textbooks for individual graduate or advanced undergraduate courses on statistical physics; optics; elasticity and fluid dynamics; plasma physics; and relativity and cosmology. Each volume teaches the fundamental concepts, emphasizes modern, real-world applications, and gives students a physical and intuitive understanding of the subject. Relativity and Cosmology is an essential introduction to the subject, including remarkable recent advances. Written by award-winning physicists who have made fundamental contributions to the field and taught it for decades, the book differs from most others on the subject in important ways. It highlights recent transformations in our understanding of black holes, gravitational waves, and the cosmos; it emphasizes the physical interpretation of general relativity in terms of measurements made by observers; it explains the physics of the Riemann tensor in terms of tidal forces, differential frame dragging, and associated field lines; it presents an astrophysically oriented description of spinning black holes; it gives a detailed analysis of an incoming gravitational wave’s interaction with a detector such as LIGO; and it provides a comprehensive, in-depth account of the universe’s evolution, from its earliest moments to the present. While the book is designed to be used for a one-quarter or full-semester course, it goes deep enough to provide a foundation for understanding and participating in some areas of cutting-edge research. Includes many exercise problems Features color figures, suggestions for further reading, extensive cross-references, and a detailed index Optional “Track 2” sections make this an ideal book for a one-quarter or one-semester course An online illustration package is available to professors The five volumes, which are available individually as paperbacks and ebooks, are Statistical Physics; Optics; Elasticity and Fluid Dynamics; Plasma Physics; and Relativity and Cosmology.

Relativity

Relativity Book
Author : Wolfgang Rindler
Publisher : Oxford University Press on Demand
Release : 2006-04-06
ISBN : 0198567316
Language : En, Es, Fr & De

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Book Description :

This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.

Spacetime and Geometry

Spacetime and Geometry Book
Author : Sean M. Carroll
Publisher : Cambridge University Press
Release : 2019-07-31
ISBN : 1108488390
Language : En, Es, Fr & De

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Book Description :

Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

Relativity Gravitation and Cosmology

Relativity  Gravitation and Cosmology Book
Author : Robert J. Lambourne
Publisher : Cambridge University Press
Release : 2010-06
ISBN : 9780521131384
Language : En, Es, Fr & De

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Book Description :

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. --