Energy Momentum Tensors
Author: Robert Hermann
Publisher: Math-Sci Press
Published: 1973
Total Pages: 132
ISBN-13: 9780915692033
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Special Relativity, Tensors, And Energy Tensor: With Worked Problems
Author: Somnath Datta
Publisher: World Scientific
Published: 2021-03-02
Total Pages: 384
ISBN-13: 9811228132
DOWNLOAD EBOOKThis 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.
A Student's Guide to Vectors and Tensors
Author: Daniel A. Fleisch
Publisher: Cambridge University Press
Published: 2011-09-22
Total Pages: 206
ISBN-13: 9780521171908
DOWNLOAD EBOOKVectors 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.
Tensor Calculus for Physics
Author: Dwight E. Neuenschwander
Publisher: JHU Press
Published: 2015
Total Pages: 244
ISBN-13: 142141564X
DOWNLOAD EBOOKIt 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"
Spacetime and Geometry
Author: Sean M. Carroll
Publisher: Cambridge University Press
Published: 2019-08-08
Total Pages: 529
ISBN-13: 1108488390
DOWNLOAD EBOOKAn accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Quantum Field Theory
Author: Claude Itzykson
Publisher: Courier Corporation
Published: 2012-09-20
Total Pages: 754
ISBN-13: 0486134695
DOWNLOAD EBOOKThis 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.
Tensors, Relativity, and Cosmology
Author: Mirjana Dalarsson
Publisher: Academic Press
Published: 2015-07-08
Total Pages: 276
ISBN-13: 0128034017
DOWNLOAD EBOOKTensors, 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
Classical Field Theory and the Stress-Energy Tensor
Author: Mark S. Swanson
Publisher: Morgan & Claypool Publishers
Published: 2015-10-12
Total Pages: 188
ISBN-13: 1681741210
DOWNLOAD EBOOKThis 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.
Cosmology in Scalar-Tensor Gravity
Author: Valerio Faraoni
Publisher: Springer Science & Business Media
Published: 2004-03-31
Total Pages: 296
ISBN-13: 9781402019883
DOWNLOAD EBOOKCosmology 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.
Manifolds, Tensors and Forms
Author: Paul Renteln
Publisher: Cambridge University Press
Published: 2014
Total Pages: 343
ISBN-13: 1107042194
DOWNLOAD EBOOKComprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
