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Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 : 9780915692033
Total Pages : 132 pages
Book Rating : 4.6/5 (92 download)
Download or read book Energy Momentum Tensors written by Robert Hermann and published by Math-Sci Press. This book was released on 1973 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Somnath Datta
Publisher : World Scientific
ISBN 13 : 9811228132
Total Pages : 384 pages
Book Rating : 4.8/5 (112 download)
Download or read book Special Relativity, Tensors, And Energy Tensor: With Worked Problems written by Somnath Datta and published by World Scientific. This book was released on 2021-03-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
Author : Daniel A. Fleisch
Publisher : Cambridge University Press
ISBN 13 : 9780521171908
Total Pages : 206 pages
Book Rating : 4.1/5 (719 download)
Download or read book A Student's Guide to Vectors and Tensors written by Daniel A. Fleisch and published by Cambridge University Press. This book was released on 2011-09-22 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Author : Mirjana Dalarsson
Publisher : Academic Press
ISBN 13 : 0128034017
Total Pages : 276 pages
Book Rating : 4.1/5 (28 download)
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
Author : Dwight E. Neuenschwander
Publisher : JHU Press
ISBN 13 : 142141564X
Total Pages : 244 pages
Book Rating : 4.4/5 (214 download)
Download or read book Tensor Calculus for Physics written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2015 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author : Claude Itzykson
Publisher : Courier Corporation
ISBN 13 : 0486134695
Total Pages : 754 pages
Book Rating : 4.4/5 (861 download)
Download or read book Quantum Field Theory written by Claude Itzykson and published by Courier Corporation. This book was released on 2012-09-20 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text begins with the standard quantization of electrodynamics and perturbative renormalization, advancing to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 1980 edition.
Author : Sean M. Carroll
Publisher : Cambridge University Press
ISBN 13 : 1108488390
Total Pages : 529 pages
Book Rating : 4.1/5 (84 download)
Download or read book Spacetime and Geometry written by Sean M. Carroll and published by Cambridge University Press. This book was released on 2019-08-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Author : Mark S. Swanson
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681741210
Total Pages : 188 pages
Book Rating : 4.6/5 (817 download)
Download or read book Classical Field Theory and the Stress-Energy Tensor written by Mark S. Swanson and published by Morgan & Claypool Publishers. This book was released on 2015-10-12 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.
Author : Valerio Faraoni
Publisher : Springer Science & Business Media
ISBN 13 : 9781402019883
Total Pages : 296 pages
Book Rating : 4.0/5 (198 download)
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.
Author : Paul Renteln
Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)
Download or read book Manifolds, Tensors and Forms written by Paul Renteln and published by Cambridge University Press. This book was released on 2014 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748843
Total Pages : 159 pages
Book Rating : 4.6/5 (817 download)
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 159 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.
Author : Michele Maggiore
Publisher : Oxford University Press
ISBN 13 : 0198570740
Total Pages : 573 pages
Book Rating : 4.1/5 (985 download)
Download or read book Gravitational Waves written by Michele Maggiore and published by Oxford University Press. This book was released on 2008 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volumes of 'Gravitational Waves' provide a comprehensive and detailed account of the physics of gravitational waves. Volume 2 discusses what can be learned from gravitational waves in astrophysics and in cosmology, by systematising a large body of theoretical developments that have taken place over the last decades.
Author : Scott Dodelson
Publisher : Academic Press
ISBN 13 : 0122191412
Total Pages : 462 pages
Book Rating : 4.1/5 (221 download)
Download or read book Modern Cosmology written by Scott Dodelson and published by Academic Press. This book was released on 2003-03-13 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced text for senior undergraduates, graduate students and physical scientists in fields outside cosmology. This is a self-contained book focusing on the linear theory of the evolution of density perturbations in the universe, and the anisotropiesin the cosmic microwave background.
Author : Yvette Kosmann-Schwarzbach
Publisher : Springer Science & Business Media
ISBN 13 : 0387878688
Total Pages : 211 pages
Book Rating : 4.3/5 (878 download)
Download or read book The Noether Theorems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.
Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 1400883903
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)
Download or read book The Classical Groups written by Hermann Weyl and published by Princeton University Press. This book was released on 2016-06-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic structure of quantum mechanics. Hermann Weyl was among the greatest mathematicians of the twentieth century. He made fundamental contributions to most branches of mathematics, but he is best remembered as one of the major developers of group theory, a powerful formal method for analyzing abstract and physical systems in which symmetry is present. In The Classical Groups, his most important book, Weyl provided a detailed introduction to the development of group theory, and he did it in a way that motivated and entertained his readers. Departing from most theoretical mathematics books of the time, he introduced historical events and people as well as theorems and proofs. One learned not only about the theory of invariants but also when and where they were originated, and by whom. He once said of his writing, "My work always tried to unite the truth with the beautiful, but when I had to choose one or the other, I usually chose the beautiful." Weyl believed in the overall unity of mathematics and that it should be integrated into other fields. He had serious interest in modern physics, especially quantum mechanics, a field to which The Classical Groups has proved important, as it has to quantum chemistry and other fields. Among the five books Weyl published with Princeton, Algebraic Theory of Numbers inaugurated the Annals of Mathematics Studies book series, a crucial and enduring foundation of Princeton's mathematics list and the most distinguished book series in mathematics.
Author : A. Z. Petrov
Publisher : Elsevier
ISBN 13 : 1483151840
Total Pages : 427 pages
Book Rating : 4.4/5 (831 download)
Download or read book Einstein Spaces written by A. Z. Petrov and published by Elsevier. This book was released on 2016-08-19 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein Spaces presents the mathematical basis of the theory of gravitation and discusses the various spaces that form the basis of the theory of relativity. This book examines the contemporary development of the theory of relativity, leading to the study of such problems as gravitational radiation, the interaction of fields, and the behavior of elementary particles in a gravitational field. Organized into nine chapters, this book starts with an overview of the principles of the special theory of relativity, with emphasis on the mathematical aspects. This text then discusses the need for a general classification of all potential gravitational fields, and in particular, Einstein spaces. Other chapters consider the gravitational fields in empty space, such as in a region where the energy-momentum tensor is zero. The final chapter deals with the problem of the limiting conditions in integrating the gravitational field equations. Physicists and mathematicians will find this book useful.
Author : Yasunori Fujii
Publisher : Cambridge University Press
ISBN 13 : 1139436023
Total Pages : 258 pages
Book Rating : 4.1/5 (394 download)
Download or read book The Scalar-Tensor Theory of Gravitation written by Yasunori Fujii and published by Cambridge University Press. This book was released on 2003-01-02 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical overview of the theoretical ideas behind the cosmological constant problem, in particular the scalar-tensor theory, which is one of the most popular alternative theories of gravitation. Covering many developments in the field, including branes and quintessence, it will be an invaluable resource for graduate students and researchers alike.
