Special Relativity Tensors And Energy Tensor

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Special Relativity, Tensors, And Energy Tensor: With Worked Problems

Author : Somnath Datta
Publisher : World Scientific
ISBN 13 : 9811228132
Total Pages : 384 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Special Relativity, Tensors, And Energy Tensor: With Worked Problems by : Somnath Datta

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.

Special Relativity, Tensors, and Energy Tensor

Author : Somnath Datta
Publisher :
ISBN 13 : 9789811228124
Total Pages : 384 pages
Book Rating : 4.2/5 (281 download)

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Book Synopsis Special Relativity, Tensors, and Energy Tensor by : Somnath Datta

Download or read book Special Relativity, Tensors, and Energy Tensor written by Somnath Datta and published by . This book was released on 1901 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensors, Relativity, and Cosmology

Author : Mirjana Dalarsson
Publisher : Academic Press
ISBN 13 : 0128034017
Total Pages : 276 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Tensors, Relativity, and Cosmology by : Mirjana Dalarsson

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

Energy Momentum Tensors

Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 : 9780915692033
Total Pages : 132 pages
Book Rating : 4.6/5 (92 download)

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Book Synopsis Energy Momentum Tensors by : Robert Hermann

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:

General Relativity

Author : Michael J W Hall
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681748843
Total Pages : 159 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis General Relativity by : Michael J W Hall

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.

Manifolds, Tensors and Forms

Author : Paul Renteln
Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Manifolds, Tensors and Forms by : Paul Renteln

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.

What is Space-Time Made Of?

Author : David Izabel
Publisher :
ISBN 13 : 9782759825738
Total Pages : 0 pages
Book Rating : 4.8/5 (257 download)

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Book Synopsis What is Space-Time Made Of? by : David Izabel

Download or read book What is Space-Time Made Of? written by David Izabel and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

General Relativity

Author : Robert M. Wald
Publisher : University of Chicago Press
ISBN 13 : 0226870375
Total Pages : 507 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis General Relativity by : Robert M. Wald

Download or read book General Relativity written by Robert M. Wald and published by University of Chicago Press. This book was released on 2010-05-15 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Introduction To Spacetime: A First Course On Relativity

Author : Bertel Laurent
Publisher : World Scientific Publishing Company
ISBN 13 : 9814579149
Total Pages : 203 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Introduction To Spacetime: A First Course On Relativity by : Bertel Laurent

Download or read book Introduction To Spacetime: A First Course On Relativity written by Bertel Laurent and published by World Scientific Publishing Company. This book was released on 1995-01-16 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of relativity is tackled directly in this book, dispensing with the need to establish the insufficiency of Newtonian mechanics. This book takes advantage from the start of the geometrical nature of the relativity theory. The reader is assumed to be familiar with vector calculus in ordinary three-dimensional Euclidean space.

Tensor Calculus for Physics

Author : Dwight E. Neuenschwander
Publisher : JHU Press
ISBN 13 : 142141564X
Total Pages : 244 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Tensor Calculus for Physics by : Dwight E. Neuenschwander

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"

Introduction to Special Theory of Relativity

Author : Somnath Datta
Publisher : Allied Publishers
ISBN 13 : 9788170238386
Total Pages : 232 pages
Book Rating : 4.2/5 (383 download)

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Book Synopsis Introduction to Special Theory of Relativity by : Somnath Datta

Download or read book Introduction to Special Theory of Relativity written by Somnath Datta and published by Allied Publishers. This book was released on with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Relativity

Author : Valerio Faraoni
Publisher : Springer Science & Business Media
ISBN 13 : 3319011073
Total Pages : 316 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Special Relativity by : Valerio Faraoni

Download or read book Special Relativity written by Valerio Faraoni and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential bridge between college-level introductions and advanced graduate-level books on special relativity. It begins at an elementary level, presenting and discussing the basic concepts normally covered in college-level works, including the Lorentz transformation. Subsequent chapters introduce the four-dimensional worldview implied by the Lorentz transformations, mixing time and space coordinates, before continuing on to the formalism of tensors, a topic usually avoided in lower-level courses. The book’s second half addresses a number of essential points, including the concept of causality; the equivalence between mass and energy, including applications; relativistic optics; and measurements and matter in Minkowski space-time. The closing chapters focus on the energy-momentum tensor of a continuous distribution of mass-energy and its co-variant conservation; angular momentum; a discussion of the scalar field of perfect fluids and the Maxwell field; and general coordinates. Every chapter is supplemented by a section with numerous exercises, allowing readers to practice the theory. These exercises constitute an essential part of the textbook, and the solutions to approximately half of them are provided in the appendix.

Classical Field Theory and the Stress-Energy Tensor

Author : Mark S. Swanson
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681741210
Total Pages : 188 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Classical Field Theory and the Stress-Energy Tensor by : Mark S. Swanson

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.

Special Relativity

Author : Michael Tsamparlis
Publisher : Springer Science & Business Media
ISBN 13 : 3642038379
Total Pages : 605 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Special Relativity by : Michael Tsamparlis

Download or read book Special Relativity written by Michael Tsamparlis and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.

An Introduction to Tensor Calculus and Relativity

Author : Derek Frank Lawden
Publisher :
ISBN 13 : 9781258787417
Total Pages : 184 pages
Book Rating : 4.7/5 (874 download)

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Book Synopsis An Introduction to Tensor Calculus and Relativity by : Derek Frank Lawden

Download or read book An Introduction to Tensor Calculus and Relativity written by Derek Frank Lawden and published by . This book was released on 2013-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry of Minkowski Spacetime

Author : Gregory L. Naber
Publisher : Courier Corporation
ISBN 13 : 9780486432359
Total Pages : 276 pages
Book Rating : 4.4/5 (323 download)

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Book Synopsis The Geometry of Minkowski Spacetime by : Gregory L. Naber

Download or read book The Geometry of Minkowski Spacetime written by Gregory L. Naber and published by Courier Corporation. This book was released on 2003-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.

Vectors, Tensors and the Basic Equations of Fluid Mechanics

Author : Rutherford Aris
Publisher : Courier Corporation
ISBN 13 : 048613489X
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vectors, Tensors and the Basic Equations of Fluid Mechanics by : Rutherford Aris

Download or read book Vectors, Tensors and the Basic Equations of Fluid Mechanics written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-08-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.