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Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell
| Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell |
| Autore | O'Donnell Peter J. <1964-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (xii, 191 p. ) : ill |
| Disciplina | 530.15563 |
| Soggetto topico |
General relativity (Physics)
Spinor analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93572-7
9786611935726 981-279-531-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. 1.6. Exercises -- 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. 2.10. Exercises -- 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 theorem. 3.10. Exercises -- 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. 4.14. Exercises. |
| Record Nr. | UNINA-9910454277203321 |
O'Donnell Peter J. <1964->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell
| Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell |
| Autore | O'Donnell Peter J. <1964-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (xii, 191 p. ) : ill |
| Disciplina | 530.15563 |
| Soggetto topico |
General relativity (Physics)
Spinor analysis |
| ISBN |
1-281-93572-7
9786611935726 981-279-531-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. 1.6. Exercises -- 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. 2.10. Exercises -- 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 theorem. 3.10. Exercises -- 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. 4.14. Exercises. |
| Record Nr. | UNINA-9910782115503321 |
|
O'Donnell Peter J. <1964->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell
| Introduction to 2-spinors in general relativity [[electronic resource] /] / Peter O'Donnell |
| Autore | O'Donnell Peter J. <1964-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (xii, 191 p. ) : ill |
| Disciplina | 530.15563 |
| Soggetto topico |
General relativity (Physics)
Spinor analysis |
| ISBN |
1-281-93572-7
9786611935726 981-279-531-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. 1.6. Exercises -- 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. 2.10. Exercises -- 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 theorem. 3.10. Exercises -- 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. 4.14. Exercises. |
| Record Nr. | UNINA-9910809091703321 |
|
O'Donnell Peter J. <1964->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||