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An Introduction to Twistor Theory : London Mathematical Society Student Texts - Professor S. A Huggett

An Introduction to Twistor Theory

London Mathematical Society Student Texts

Hardcover

Published: 22nd December 2007
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This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. The choice of material presented has evolved from graduate lectures given in London and Oxford and the authors have aimed to retain the informal tone of those lectures. The book will provide graduate students with an introduction to the literature of twistor theory, presupposing some knowledge of special relativity and differential geometry. It would also be of use for a short course on space-time structure independently of twistor theory. The physicist could be introduced gently to some of the mathematics which has proved useful in these areas, and the mathematician could be shown where sheaf cohomology and complex manifold theory can be used in physics.

' ... the book is recommended to anyone seeking to get acquainted with the area.' American Scientist ' ... a certain amount of preliminary knowledge is assumed of the reader ... but anyone who has these prerequisites and who is interested in twistor theory could hardly do better than to start with this book.' Contemporary Physics 'In all, the book provides a pleasant starting point for the study of this fascinating subject.' Dr F. E. Burstall, Contemporary Physics

Prefacep. ix
Preface to the second editionp. xi
Introductionp. 1
Review of Tensor Algebra and Calculusp. 5
Lorentzian Spinors at a Pointp. 11
Spinor Fieldsp. 25
Compactified Minkowski Spacep. 33
The Geometry of Null Congruencesp. 45
The Geometry of Twistor Spacep. 53
Solving the Zero Rest Mass Equations Ip. 65
Sheaf Cohomology and Free Fieldsp. 71
Solving the Zero Rest Mass Equations IIp. 91
The Twisted Photon and Yang--Mills Constructionsp. 99
The Non-Linear Gravitonp. 105
Penrose's Quasi-Local Momentum and Angular Momentump. 119
Functionals on Zero Rest Mass Fieldsp. 137
Further Developments and Conclusionsp. 147
Hints, Solutions and Notes to the Exercisesp. 153
The GHP Equationsp. 163
Bibliographyp. 167
Indexp. 175
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521451574
ISBN-10: 0521451574
Series: London Mathematical Society Student Texts
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 192
Published: 22nd December 2007
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.4
Weight (kg): 0.45
Edition Number: 2
Edition Type: Revised