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
Author: Roger Penrose
Publisher: Cambridge University Press
Total Pages: 516
Release: 1984
Genre: Mathematics
ISBN: 9780521347860

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.

An Introduction to Twistor Theory

An Introduction to Twistor Theory
Author: S. A. Huggett
Publisher: Cambridge University Press
Total Pages: 196
Release: 1994
Genre: Mathematics
ISBN: 9780521456890

Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.

Techniques of Differential Topology in Relativity

Techniques of Differential Topology in Relativity
Author: Roger Penrose
Publisher: SIAM
Total Pages: 80
Release: 1972-01-01
Genre: Technology & Engineering
ISBN: 9781611970609

Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.

The Mathematical Theory of Black Holes

The Mathematical Theory of Black Holes
Author: Subrahmanyan Chandrasekhar
Publisher: Oxford University Press
Total Pages: 676
Release: 1998
Genre: Science
ISBN: 9780198503705

Part of the reissued Oxford Classic Texts in the Physical Sciences series, this book was first published in 1983, and has swiftly become one of the great modern classics of relativity theory. It represents a personal testament to the work of the author, who spent several years writing and working-out the entire subject matter. The theory of black holes is the most simple and beautiful consequence of Einstein's relativity theory. At the time of writing there was no physical evidence for the existence of these objects, therefore all that Professor Chandrasekhar used for their construction were modern mathematical concepts of space and time. Since that time a growing body of evidence has pointed to the truth of Professor Chandrasekhar's findings, and the wisdom contained in this book has become fully evident.

The Theory of Spinors

The Theory of Spinors
Author: Élie Cartan
Publisher: Courier Corporation
Total Pages: 193
Release: 2012-04-30
Genre: Mathematics
ISBN: 0486137325

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.

Black Holes in Higher Dimensions

Black Holes in Higher Dimensions
Author: Gary T. Horowitz
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-04-19
Genre: Science
ISBN: 1107013453

The first book devoted to black holes in more than four dimensions, for graduate students and researchers.

Differential Geometry and Lie Groups for Physicists

Differential Geometry and Lie Groups for Physicists
Author: Marián Fecko
Publisher: Cambridge University Press
Total Pages: 11
Release: 2006-10-12
Genre: Science
ISBN: 1139458035

Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.

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
Author: Roger Penrose
Publisher: Cambridge University Press
Total Pages: 512
Release: 1986-02-27
Genre: Science
ISBN: 9780521252676

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. Twistors have, in recent years, attracted increasing attention as a mathematical tool and as a means of gaining new insights into the structure of physical laws. This volume also includes a comprehensive treatment of the conformal approach to space-time infinity with results on general-relativistic mass and angular momentum, a detailed spinorial classification of the full space-time curvature tensor, and an account of the geometry of null geodesics.