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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.

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.

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

Introduction to General Relativistic and Scalar tensor Cosmologies

Introduction to General Relativistic and Scalar tensor Cosmologies Book
Author : Marcelo Samuel Berman
Publisher : Nova Publishers
Release : 2007
ISBN : 9781600210136
Language : En, Es, Fr & De

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Book Description :

This book offers an introduction to General Relativity and its mathematical tools, together with an introduction to relativistic and scalar-tensor cosmologies. Part I deals with Tensor Calculus. Part II introduces General Relativity Theory, while Part III deals with Relativistic Cosmology. In Part IV we work Scalar-Tensor theories, concentrating in Cosmological Models. In the last chapters, the cosmological models presented, become more and more sophisticated, including some new cases, never published elsewhere, in which all fundamental "constants" are made to vary, with the age of the Universe, namely, the gravitational, the cosmological, the coupling Brans-Dicke "constants", the speed of light, Planck's "fine -structure "constant" alpha" etc. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students, to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.

Introduction to Tensor Calculus Relativity and Cosmology

Introduction to Tensor Calculus  Relativity and Cosmology Book
Author : Derek F. Lawden
Publisher : Unknown
Release : 2002
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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

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.

General Relativity and Cosmology with Engineering Applications

General Relativity and Cosmology with Engineering Applications Book
Author : Harish Parthasarathy
Publisher : CRC Press
Release : 2021-04-01
ISBN : 1000387666
Language : En, Es, Fr & De

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Book Description :

This is a reference book for researchers working in the field of general relativity, quantum mechanics and quantum gravity. A major part of the book deals with the formulation of special relativistic mechanics, special relativistic fluid dynamics and its generalization to general relativity where the gravitational field is described by a metric tensor. Emphasis is laid on the fact that the general theory of relativity is of tensorial character under all dieomorphisms of space-time and hence its field equations, namely the Einstein field equations for gravitation, the Maxwell equations in a curved space-time geometry and the fluid dynamical equations in curved space time are all valid for all observers in the universe. The emphasis throughout is on the fact that matter generates a gravitational field described by a metric that has a non-vanishing curvature tensor and hence such space-times are inherently curved, ie, cannot be transformed into Minkowsian form. There is a final section on quantum mechanics and quantum field theory which introduces supersymmetry and quantum gravity to the reader. The reader after going through this book will be sufficiently well equipped to start research in quantum gravity, i.e, background independent physics which is as yet an unsolved problem owing to renormalization problems. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Relativity Gravitation and Cosmology

Relativity  Gravitation and Cosmology Book
Author : Ta-Pei Cheng
Publisher : Oxford University Press
Release : 2009-11-07
ISBN : 0191574422
Language : En, Es, Fr & De

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Book Description :

Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe. The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.

A Short Course in General Relativity and Cosmology

A Short Course in General Relativity and Cosmology Book
Author : Reinhard Hentschke
Publisher : Springer Nature
Release : 2021-09-18
ISBN : 3030463842
Language : En, Es, Fr & De

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Book Description :

Download A Short Course in General Relativity and Cosmology book written by Reinhard Hentschke, 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

TENSORS Book
Author : AHSAN, ZAFAR
Publisher : PHI Learning Pvt. Ltd.
Release : 2015-05-21
ISBN : 812035088X
Language : En, Es, Fr & De

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Book Description :

The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved examples. A carefully selected set of unsolved problems is also given at the end of each chapter, and the answers and hints for the solution of these problems are given at the end of the book. The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book. This book is intended to serve as text for postgraduate students of mathematics, physics and engineering. It is ideally suited for both students and teachers who are engaged in research in General Theory of Relativity and Differential Geometry.

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.

The Expanding Universe

The Expanding Universe Book
Author : William D. Heacox
Publisher : Cambridge University Press
Release : 2015-11-26
ISBN : 1316453790
Language : En, Es, Fr & De

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Book Description :

Cosmology - the science of the Universe at large - has experienced a renaissance in the decades bracketing the turn of the twenty-first century. Exploring our emerging understanding of cosmology, this text takes two complementary points of view: the physical principles underlying theories of cosmology, and the observable consequences of models of Universal expansion. The book develops cosmological models based on fundamental physical principles, with mathematics limited to the minimum necessary to keep the material accessible for students of physics and astronomy at the advanced undergraduate level. A substantial review of general relativity leading up to the Einstein field equations is included, with derivations of explicit formulations connecting observable features of the Universe to models of its expansion. Self-contained and up to date in respect of modern observations, the text provides a solid theoretical grounding in modern cosmology while preparing readers for the changes that will inevitably come from future observations.

Relativity and Cosmology

Relativity and Cosmology Book
Author : Howard Percy Robertson,Thomas W. Noonan
Publisher : Unknown
Release : 1968
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Euclidean space -- Classical electromagnetism -- The Lorentz transformation -- Electromagnetism in special relativity -- Matter -- Special-relativistic gravitation theories -- Differential geoemtry -- Riemannian geometry -- General relativity -- Seclected topics in general relativity -- Inertial frames -- Equations of motion -- Automorphisms -- Foundations of cosmology -- Observable quantities -- Speical cosmological models -- General-relativistic cosmology -- Cosmological observations.

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 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 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.

Cosmological Relativity

Cosmological Relativity Book
Author : Moshe Carmeli
Publisher : World Scientific
Release : 2006
ISBN : 9812700757
Language : En, Es, Fr & De

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Book Description :

"In this chapter cosmological special relativity is extended to five dimensions by adding time to the three spatial dimensions and the velocity of the Hubble expansion. As a consequence of this extension, equations of electrodynamics are considered through the extended skew-symmetric tensor, in which a new field is included along with the electric and magnetic fields. This new field is due to the Higgs interaction associated with the expansion of the Universe. It is unified with the electromagnetic interaction in the frame of cosmology. The field equations are developed in five dimensions. In addition to the well-known Maxwell equations new equations that describe the mix-up of different fields are obtained."--Publisher's website.

Gravitation and Cosmology

Gravitation and Cosmology Book
Author : Steven Weinberg
Publisher : John Wiley & Sons Incorporated
Release : 1972
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Weinberg's 1972 work, in his description, had two purposes. The first was practical to bring together and assess the wealth of data provided over the previous decade while realizing that newer data would come in even as the book was being printed. He hoped the comprehensive picture would prepare the reader and himself to that new data as it emerged. The second was to produce a textbook about general relativity in which geometric ideas were not given a starring role for (in his words) too great an emphasis on geometry can only obscure the deep connections between gravitation and the rest of physics.