Introduction To 2 Spinors In General Relativity

Author : Peter J. O'Donnell
Publisher : World Scientific
Page : 208 pages
File Size : 54,6 Mb
Release : 2003
Category : Science
ISBN : 9812795316

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Introduction to 2-spinors in General Relativity by Peter J. O'Donnell Pdf

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. Sample Chapter(s). Spinor Geometry (238 KB). Contents: Spinor Geometry; Spinor Algebra; Spinor Analysis; Lanczos Spinor. Readership: Postgraduate level students and researchers.

Author : Moshe Carmeli,Shimon Malin
Publisher : World Scientific Publishing Company
Page : 228 pages
File Size : 46,6 Mb
Release : 2000-04-12
Category : Science
ISBN : 9789813102767

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Theory Of Spinors: An Introduction by Moshe Carmeli,Shimon Malin Pdf

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.

Author : Roger Penrose,Wolfgang Rindler
Publisher : Cambridge University Press
Page : 516 pages
File Size : 49,6 Mb
Release : 1984
Category : Mathematics
ISBN : 0521347866

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Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry by Roger Penrose,Wolfgang Rindler Pdf

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.

Author : Jerzy Plebanski,Andrzej Krasinski
Publisher : Cambridge University Press
Page : 579 pages
File Size : 45,5 Mb
Release : 2024-05-31
Category : Science
ISBN : 9781009415620

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An Introduction to General Relativity and Cosmology by Jerzy Plebanski,Andrzej Krasinski Pdf

Experts introduce the tools of GR and relativistic cosmology, guiding advanced students through complete derivations of the results.

Author : Gerardo F. Torres del Castillo
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 47,9 Mb
Release : 2010-07-23
Category : Mathematics
ISBN : 9780817649845

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Spinors in Four-Dimensional Spaces by Gerardo F. Torres del Castillo Pdf

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.

Author : Herbi K. Dreiner,Howard E. Haber,Stephen P. Martin
Publisher : Cambridge University Press
Page : 1031 pages
File Size : 47,5 Mb
Release : 2023-06-08
Category : Science
ISBN : 9781009347532

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From Spinors to Supersymmetry by Herbi K. Dreiner,Howard E. Haber,Stephen P. Martin Pdf

Supersymmetry is an extension of the successful Standard Model of particle physics; it relies on the principle that fermions and bosons are related by a symmetry, leading to an elegant predictive structure for quantum field theory. This textbook provides a comprehensive and pedagogical introduction to supersymmetry and spinor techniques in quantum field theory. By utilising the two-component spinor formalism for fermions, the authors provide many examples of practical calculations relevant for collider physics signatures, anomalies, and radiative corrections. They present in detail the component field and superspace formulations of supersymmetry and explore related concepts, including the theory of extended Higgs sectors, models of grand unification, and the origin of neutrino masses. Numerous exercises are provided at the end of each chapter. Aimed at graduate students and researchers, this volume provides a clear and unified treatment of theoretical concepts that are at the frontiers of high energy particle physics.

Author : Anonim
Publisher : Cambridge University Press
Page : 1030 pages
File Size : 45,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9780521800884

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From Spinors to Supersymmetry by Anonim Pdf

Author : Élie Cartan
Publisher : Courier Corporation
Page : 192 pages
File Size : 49,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137322

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The Theory of Spinors by Élie Cartan Pdf

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.

Author : Moshe Carmeli
Publisher : World Scientific
Page : 412 pages
File Size : 47,6 Mb
Release : 2000-11-15
Category : Science
ISBN : 9781783261697

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Group Theory & General Relativity by Moshe Carmeli Pdf

This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory.There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -particularly the Lorentz and the SL(2,C) groups — to the theory of general relativity. Each chapter is concluded with a set of problems.The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2,C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book. The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed.The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Author : Moshe Carmeli
Publisher : World Scientific
Page : 416 pages
File Size : 42,5 Mb
Release : 2000
Category : Science
ISBN : 1860942342

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Group Theory and General Relativity by Moshe Carmeli Pdf

This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Author : John Stewart,John M. Stewart
Publisher : Cambridge University Press
Page : 244 pages
File Size : 48,6 Mb
Release : 1993-11-26
Category : Science
ISBN : 0521449464

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Advanced General Relativity by John Stewart,John M. Stewart Pdf

A self-contained introduction to advanced general relativity.

Author : Kirill Krasnov
Publisher : Cambridge University Press
Page : 391 pages
File Size : 42,6 Mb
Release : 2020-11-26
Category : Science
ISBN : 9781108481649

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Formulations of General Relativity by Kirill Krasnov Pdf

Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.

Author : John Dirk Walecka
Publisher : World Scientific
Page : 355 pages
File Size : 52,7 Mb
Release : 2007
Category : Science
ISBN : 9789812705846

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Introduction to General Relativity by John Dirk Walecka Pdf

A working knowledge of Einstein's theory of general relativity is an essential tool for every physicist today. This self-contained book is an introductory text on the subject aimed at first-year graduate students, or advanced undergraduates, in physics that assumes only a basic understanding of classical Lagrangian mechanics. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. After reviewing special relativity, the basic principles of general relativity are presented, and the most important applications are discussed. The final special topics section guides the reader through a few important areas of current research.This book will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.

Author : Juan A. Valiente Kroon
Publisher : Cambridge University Press
Page : 627 pages
File Size : 45,5 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009291347

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Conformal Methods in General Relativity by Juan A. Valiente Kroon Pdf

This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.

Author : Dennis Morris
Publisher : Unknown
Page : 160 pages
File Size : 44,8 Mb
Release : 2015-08-15
Category : Electronic
ISBN : 1516918630

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Upon General Relativity by Dennis Morris Pdf

This book is about the 4-dimensional space-time of our universe. From nothing more than the spinor algebras, we derive the existence and nature of our space-time. We explain why our space-time is 4-dimensional, why is has the distance function it has, why we have two types of 2-dimensional angles in our 4-dimensional space-time, and why we find intrinsic curvature in our space-time. We also derive tensor calculus, general relativity, and Riemann geometry from the spinor algebras. We also see classical electromagnetism emerge alongside general relativity. This book is a very easy and clearly presented introduction to tensor calculus. It is suitable to be read prior to, during, or after a course on general relativity and is a necessary supplement to that course.