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Spinors In General Relativity


Spinors In General Relativity
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Introduction To 2 Spinors In General Relativity


Introduction To 2 Spinors In General Relativity
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Author : Peter J. O'Donnell
language : en
Publisher: World Scientific
Release Date : 2003

Introduction To 2 Spinors In General Relativity written by Peter J. O'Donnell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.


This book deals with 2-spinors in general relativity, beginning by developing spinors in a geometrical way rather than using representation theory, which can be a little abstract. This gives the reader greater physical intuition into the way in which spinors behave. The book concentrates on the algebra and calculus of spinors connected with curved space-time. Many of the well-known tensor fields in general relativity are shown to have spinor counterparts. An analysis of the Lanczos spinor concludes the book, and some of the techniques so far encountered are applied to this. Exercises play an important role throughout and are given at the end of each chapter.



Theory Of Spinors An Introduction


Theory Of Spinors An Introduction
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Author : Moshe Carmeli
language : en
Publisher: World Scientific Publishing Company
Release Date : 2000-04-12

Theory Of Spinors An Introduction written by Moshe Carmeli and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-12 with Science categories.


Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors — results that could not have been obtained by using tensor methods only.The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles.The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications.Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.



Spinors And Space Time Volume 2 Spinor And Twistor Methods In Space Time Geometry


Spinors And Space Time Volume 2 Spinor And Twistor Methods In Space Time Geometry
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Author : Roger Penrose
language : en
Publisher: Cambridge University Press
Release Date : 1984

Spinors And Space Time Volume 2 Spinor And Twistor Methods In Space Time Geometry written by Roger Penrose and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.


In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.



On The Concept Of Spinors In General Relativity


On The Concept Of Spinors In General Relativity
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Author : Werner Raab
language : en
Publisher:
Release Date : 1964

On The Concept Of Spinors In General Relativity written by Werner Raab and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.


A spinor calculus is derived from tensor calculus and corresponds to the linear differential geometry based on four invariant linear differential forms. In the special theory of relativity, the concept 'system of coordinates' and 'frame' can be identified; in the general theory of relativity the system of coordinates which is common for all points of a certain space-time region has to be differentiated from the frame for every point. A frame is represented by four invariant linear differential forms, i.e. by four tensors of first rank.



Spinors In Four Dimensional Spaces


Spinors In Four Dimensional Spaces
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Author : Gerardo F. Torres del Castillo
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23

Spinors In Four Dimensional Spaces written by Gerardo F. Torres del Castillo 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 2010-07-23 with Mathematics categories.


Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang–Mills theory, are derived in detail using illustrative examples. Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.



Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields


Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields
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Author : Roger Penrose
language : en
Publisher: Cambridge University Press
Release Date : 1984

Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields written by Roger Penrose and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.


Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.



Spinors In General Relativity


Spinors In General Relativity
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Author : Christopher James Grigson
language : en
Publisher:
Release Date : 1970

Spinors In General Relativity written by Christopher James Grigson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Quantum field theory categories.




The Theory Of Spinors


The Theory Of Spinors
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Author : Élie Cartan
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30

The Theory Of Spinors written by Élie Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.


Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.



Theory Of Spinors And Its Application In Physics And Mechanics


Theory Of Spinors And Its Application In Physics And Mechanics
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Author : Vladimir A. Zhelnorovich
language : en
Publisher: Springer Nature
Release Date : 2019-10-24

Theory Of Spinors And Its Application In Physics And Mechanics written by Vladimir A. Zhelnorovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-24 with Science categories.


This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein–Dirac equations, nonlinear Heisenberg’s spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties.



Geometry Of Spinors In General Relativity And Spherical Symmetry


Geometry Of Spinors In General Relativity And Spherical Symmetry
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Author : Octavian T. Popp
language : en
Publisher:
Release Date : 1985

Geometry Of Spinors In General Relativity And Spherical Symmetry written by Octavian T. Popp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.