Special Relativity Tensors And Energy Tensor With Worked Problems
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Special Relativity Tensors And Energy Tensor With Worked Problems
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Author : Somnath Datta
language : en
Publisher: World Scientific
Release Date : 2021-03-02
Special Relativity Tensors And Energy Tensor With Worked Problems written by Somnath Datta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
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.
Relativity
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Author : Asghar Qadir
language : en
Publisher: World Scientific
Release Date : 1989
Relativity written by Asghar Qadir and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
The most important feature in this book is the simple presentation with details of calculations. It is very easy to follow. Fairly sophisticated calculations are developed very rapidly. The presentation is logical and the detailed coverage makes this book very readable and useful. The contents develop Relativity as a modern theory of motion, starting by placing it in historical perspective and proceeding to show its logical necessity. The development of the Lorentz transformation is given using only one assumption rather than two. Right away in Chapter 3, geometry as required in Special Relativity for extension to General Relativity is introduced. This enables the use of the four-vector formalism of Minkowski. By the end of Chapter 4, the general Lorentz transformations for three-dimensional motion and their relation to four-dimensional boosts have already been explained. In Chapter 5 applications of relevance in Physics are provided. After a brief introduction to elementary electromagnetic theory, it is reformulated as a theory in four-dimensions using tensors in Chapter 6. Finally in Chapter 7, the theory is extended to deal with accelerated motion as ?corrections? to Special Relativity.
General Relativity
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Author : Michael J. W. Hall
language : en
Publisher:
Release Date : 2021
General Relativity written by Michael J. W. Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Black holes (Astronomy) categories.
Energy Momentum Tensors
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Author : Robert Hermann
language : en
Publisher: Math-Sci Press
Release Date : 1973
Energy Momentum Tensors written by Robert Hermann and has been published by Math-Sci Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
What Is Space Time Made Of
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Author : David Izabel
language : en
Publisher:
Release Date : 2021
What Is Space Time Made Of written by David Izabel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Science categories.
In the first part of this book, the author synthesizes the main results and formulas of physics-Albert Einstein's, with general relativity, gravitational waves involving elastic deformable space-time, quantum field theory, Heisenberg's principle, and Casimir's force implying that a vacuum is not nothingness. In the second part, based on these scientific facts, the author re-studies the fundamental equation of general relativity in a weak gravitational field by unifying it with the theory of elasticity. He considers the Ligo and Virgo interferometers as strain gauges. It follows from this approach that the gravitational constant G, Einstein's constant κ, can be expressed as a function of the physical, mechanical and elastic characteristics of space-time. He overlaps these results and in particular Young's modulus of space-time, with publications obtained by renowned scientists. By imposing to satisfy the set of universal constants G, c, κ, ħ and by taking into account the vacuum data, he proposes a new quantum expression of G which is still compatible with existing serious publications. It appears that time becomes the lapse of time necessary to transmit information from one elastic sheet of space to another. Time also becomes elastic. Thus, space becomes an elastic material, with a particle size of the order of the Planck scale, a new deformable ether, therefore different from the non-existent luminiferous ether. Finally, in the third part, in appendices, the author demonstrates the fundamentals of general relativity, cosmology and the theory of elasticity.
A General Relativity Workbook
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Author : Thomas A. Moore
language : en
Publisher: MIT Press
Release Date : 2012-12-10
A General Relativity Workbook written by Thomas A. Moore and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-10 with Science categories.
A General Relativity Workbook is atextbook intended to support a one-semester upper division undergraduatecourse on general relativity. General relativity, which lies at the heart of contemporary physics, has recently become the focus of a number of lively theoretical, experimental, and computational research programs. As a result, undergraduates have become increasingly excited to learn about the subject.A General Relativity Workbook is a textbook intended to support a one-semester upper division undergraduate course on general relativity. Through its unique workbook-based design, it enables students to develop a solid mastery of both the physics and the supporting tensor calculus by pushing (and guiding) them to work through the implications. Each chapter, which is designed to correspond to one class session, involves a short overview of the concepts without obscuring derivations or details, followed by a series of boxes that guide students through the process of working things out for themselves.This active-learning approach enables students to develop a more secure mastery of the material than more traditional approaches. More than 350 homework problems support further learning. This book more strongly emphasizes the physics than many of its competitors, and while it provides students a full grounding in the supporting mathematics (unlike certain other competitors), it introduces the mathematics gradually and in a completely physical context.
Tensors Relativity And Cosmology
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Author : Mirjana Dalarsson
language : en
Publisher: Academic Press
Release Date : 2015-07-08
Tensors Relativity And Cosmology written by Mirjana Dalarsson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-08 with Science categories.
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
Interactions
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Author : Vincent F. Hendricks
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-17
Interactions written by Vincent F. Hendricks and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-17 with Philosophy categories.
The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. In this book, ten renowned philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics. The result is a diverse yet thematically focused compilation of first class papers on mathematics, physics and philosophy, and a source-book on the interaction between them.
Old And New Problems In Elementary Particles
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Author : G Puppi
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Old And New Problems In Elementary Particles written by G Puppi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Old and New Problems in Elementary Particles provides information pertinent to elementary-particle physics. This book examines the types of problems facing high-energy physicists. Comprised of 20 chapters, this book starts with an overview of the fundamental properties of Dirac poles, with emphasis on the spin, the electric-dipole moment, and the mass. This text then examines the applications of supergain antenna, which is an interesting cautionary model against an oversimplified application of the notion of indeterminacy. Other chapters explain the uninhibited adoption of a uniform and natural experimental definition of resonance or particle with respect to hadrons. This book illustrates as well how insight into strong-interaction dynamics may be improved by a precise definition of the particle-resonance concept. The final chapter deals with the derivation of the Alder–Weisberger relation, which links the ratio of the two weak coupling constants of the nucleon with an integral over pion absorption cross-sections. Physicists and researchers will find this book useful.
Problem Book In Relativity And Gravitation
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Author : Alan P Lightman
language : en
Publisher: Princeton University Press
Release Date : 2017-09-01
Problem Book In Relativity And Gravitation written by Alan P Lightman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-01 with Science categories.
An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.