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Introduction to 2-spinors in general relativity

Author: Peter J O'Donnell
Publisher: Singapore ; River Edge, NJ : World Scientific, ©2003.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A study of 2-spinors in general relativity, beginning by developing spinors in a geometrical way, and concentrating on the algebra and calculus of spinors connected with curved space-time. An  Read more...

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Document Type: Book
All Authors / Contributors: Peter J O'Donnell
ISBN: 9812383077 9789812383075
OCLC Number: 52803565
Description: xii, 191 pages : illustrations ; 24 cm
Contents: 1. Spinor geometry --
1.1. Minkowski space --
1.2. The null cone and Riemann sphere --
1.3. Spin transformations and spin matrices --
1.4. Flagpoles and flag planes --
1.5. Spin-space --
2. Spinor algebra --
2.1. Abstract index notation --
2.2. Complex conjugation of spinor components --
2.3. Vector bases and abstract indices --
2.4. Levi-Civita spinor --
2.5. Spinor dyad basis and its components --
2.6. Spinor symmetry operations --
2.7. The connection between world-tensors and spinors --
2.8. The decomposition of spinors --
2.9. The canonical decomposition of symmetric spinors --
3. Spinor analysis --
3.1. Spinor form of the covariant derivative --
3.2. The curvature spinors --
3.3. Spinor equivalent of the Ricci identities --
3.4. Spinor equivalent of the Bianchi identities --
3.5. The Newman-Penrose spin coefficient formalism --
3.6. Newman-Penrose quantities under Lorentz transformations --
3.7. Miscellaneous transformations --
3.8. Geroch-Held-Penrose formalism --
3.9. Goldberg-Sachs theorems --
4. Lanczos spinor --
4.1. Introduction --
4.2. Lanczos' Lagrangian --
4.3. Lanczos' gauge conditions --
4.4. The Lanczos spinor --
4.5. The spinor version of the Weyl-Lanczos equations --
4.6. The Lanczos coefficients --
4.7. The Weyl-Lanczos equations in spin coefficient form --
4.8. The Ricci-Lanczos equations in spin coefficient form --
4.9. The behaviour of Lanczos coefficients under Lorentz transformations --
4.10. Miscellaneous transformations --
4.11. The Weyl-Lanczos equations in GHP form --
4.12. Solutions of the Weyl-Lanczos equations --
4.13. A brief note on the Lanczos spinor/tensor --
App. A. Aspects of general relativity.
Other Titles: 2-spinors in general relativity
Responsibility: Peter O'Donnell.

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.,."useful for those who are working with the two-spinor formalism and/or are interested in the Lanczos theory.?

 
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