Spinors and space-time.: Volume 1, Two-spinor calculus and relativistic fields /
This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given h...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
[1986]
|
| Schriftenreihe: | Cambridge monographs on mathematical physics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time. |
| Beschreibung: | "Reprinted with corrections 1986"--Title page verso |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references (pages 435-443) and index. |
| ISBN: | 9781316140697 1316140695 9780511564048 051156404X |
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| 245 | 1 | 0 | |a Spinors and space-time. |n Volume 1, |p Two-spinor calculus and relativistic fields / |c Roger Penrose, Wolfgang Rindler. |
| 246 | 3 | 0 | |a Two-spinor calculus and relativistic fields |
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c [1986] | |
| 264 | 4 | |c ©1984 | |
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| 500 | |a "Reprinted with corrections 1986"--Title page verso | ||
| 504 | |a Includes bibliographical references (pages 435-443) and index. | ||
| 520 | |a This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time. | ||
| 505 | 0 | |a Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The geometry of world-vectors and spin-vectors -- 1.1 Minkowski vector space -- 1.2 Null directions and spin transformations -- 1.3 Some properties of Lorentz transformations -- 1.4 Null flags and spin-vectors -- 1.5 Spinorial objects and spin structure -- 1.6 The geometry of spinor operations -- 2 Abstract indices and spinor algebra -- 2.1 Motivation for abstract-index approach -- 2.2 The abstract-index formalism for tensor algebra -- 2.3 Bases. | |
| 505 | 8 | |a 2.4 The total reflexivity of 6* on a manifold -- 2.5 Spinor algebra -- 3 Spinors and world-tensors -- 3.1 World-tensors as spinors -- 3.2 Null flags and complex null vectors -- 3.3 Symmetry operations -- 3.4 Tensor representation of spinor operations -- 3.5 Simple propositions about tensors and spinors at a point -- 3.6 Lorentz transformations -- 4 Differentiation and curvature -- 4.1 Manifolds -- 4.2 Covariant derivative -- 4.3 Connection-independent derivatives -- 4.4 Differentiation of spinors -- 4.5 Differentiation of spinor components. | |
| 505 | 8 | |a 4.6 The curvature spinors -- 4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory -- 4.8 The Weyl tensor and the Bel-Robinson tensor -- 4.9 Spinor form of commutators -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator. | |
| 505 | 8 | |a 5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols. | |
| 588 | 0 | |a Online resource; title from digital title page (viewed on December 13, 2019). | |
| 650 | 0 | |a Space and time. |0 http://id.loc.gov/authorities/subjects/sh85125911 | |
| 650 | 0 | |a Spinor analysis. |0 http://id.loc.gov/authorities/subjects/sh85126718 | |
| 650 | 6 | |a Analyse spinorielle. | |
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| author | Penrose, Roger Rindler, Wolfgang, 1924- |
| author_GND | http://id.loc.gov/authorities/names/n82139094 http://id.loc.gov/authorities/names/n81128257 |
| author_facet | Penrose, Roger Rindler, Wolfgang, 1924- |
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| contents | Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The geometry of world-vectors and spin-vectors -- 1.1 Minkowski vector space -- 1.2 Null directions and spin transformations -- 1.3 Some properties of Lorentz transformations -- 1.4 Null flags and spin-vectors -- 1.5 Spinorial objects and spin structure -- 1.6 The geometry of spinor operations -- 2 Abstract indices and spinor algebra -- 2.1 Motivation for abstract-index approach -- 2.2 The abstract-index formalism for tensor algebra -- 2.3 Bases. 2.4 The total reflexivity of 6* on a manifold -- 2.5 Spinor algebra -- 3 Spinors and world-tensors -- 3.1 World-tensors as spinors -- 3.2 Null flags and complex null vectors -- 3.3 Symmetry operations -- 3.4 Tensor representation of spinor operations -- 3.5 Simple propositions about tensors and spinors at a point -- 3.6 Lorentz transformations -- 4 Differentiation and curvature -- 4.1 Manifolds -- 4.2 Covariant derivative -- 4.3 Connection-independent derivatives -- 4.4 Differentiation of spinors -- 4.5 Differentiation of spinor components. 4.6 The curvature spinors -- 4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory -- 4.8 The Weyl tensor and the Bel-Robinson tensor -- 4.9 Spinor form of commutators -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator. 5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols. |
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| dewey-search | 530.11 |
| dewey-sort | 3530.11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:26:03Z |
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| series | Cambridge monographs on mathematical physics. |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Penrose, Roger, author. http://id.loc.gov/authorities/names/n82139094 Spinors and space-time. Volume 1, Two-spinor calculus and relativistic fields / Roger Penrose, Wolfgang Rindler. Two-spinor calculus and relativistic fields Cambridge ; New York : Cambridge University Press, [1986] ©1984 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge monographs on mathematical physics "Reprinted with corrections 1986"--Title page verso Includes bibliographical references (pages 435-443) and index. This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time. Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The geometry of world-vectors and spin-vectors -- 1.1 Minkowski vector space -- 1.2 Null directions and spin transformations -- 1.3 Some properties of Lorentz transformations -- 1.4 Null flags and spin-vectors -- 1.5 Spinorial objects and spin structure -- 1.6 The geometry of spinor operations -- 2 Abstract indices and spinor algebra -- 2.1 Motivation for abstract-index approach -- 2.2 The abstract-index formalism for tensor algebra -- 2.3 Bases. 2.4 The total reflexivity of 6* on a manifold -- 2.5 Spinor algebra -- 3 Spinors and world-tensors -- 3.1 World-tensors as spinors -- 3.2 Null flags and complex null vectors -- 3.3 Symmetry operations -- 3.4 Tensor representation of spinor operations -- 3.5 Simple propositions about tensors and spinors at a point -- 3.6 Lorentz transformations -- 4 Differentiation and curvature -- 4.1 Manifolds -- 4.2 Covariant derivative -- 4.3 Connection-independent derivatives -- 4.4 Differentiation of spinors -- 4.5 Differentiation of spinor components. 4.6 The curvature spinors -- 4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory -- 4.8 The Weyl tensor and the Bel-Robinson tensor -- 4.9 Spinor form of commutators -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator. 5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols. Online resource; title from digital title page (viewed on December 13, 2019). Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Spinor analysis. http://id.loc.gov/authorities/subjects/sh85126718 Analyse spinorielle. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Space and time fast Spinor analysis fast Rindler, Wolfgang, 1924- author. https://id.oclc.org/worldcat/entity/E39PBJhMp4G36W8BxVTr9hx4bd http://id.loc.gov/authorities/names/n81128257 Print version: Penrose, Roger. Spinors and space-time 0521245273 (DLC) 82019861 (OCoLC)877068985 Cambridge monographs on mathematical physics. http://id.loc.gov/authorities/names/n42005691 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=800941 Volltext |
| spellingShingle | Penrose, Roger Rindler, Wolfgang, 1924- Spinors and space-time. Cambridge monographs on mathematical physics. Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 The geometry of world-vectors and spin-vectors -- 1.1 Minkowski vector space -- 1.2 Null directions and spin transformations -- 1.3 Some properties of Lorentz transformations -- 1.4 Null flags and spin-vectors -- 1.5 Spinorial objects and spin structure -- 1.6 The geometry of spinor operations -- 2 Abstract indices and spinor algebra -- 2.1 Motivation for abstract-index approach -- 2.2 The abstract-index formalism for tensor algebra -- 2.3 Bases. 2.4 The total reflexivity of 6* on a manifold -- 2.5 Spinor algebra -- 3 Spinors and world-tensors -- 3.1 World-tensors as spinors -- 3.2 Null flags and complex null vectors -- 3.3 Symmetry operations -- 3.4 Tensor representation of spinor operations -- 3.5 Simple propositions about tensors and spinors at a point -- 3.6 Lorentz transformations -- 4 Differentiation and curvature -- 4.1 Manifolds -- 4.2 Covariant derivative -- 4.3 Connection-independent derivatives -- 4.4 Differentiation of spinors -- 4.5 Differentiation of spinor components. 4.6 The curvature spinors -- 4.7 Spinor formulation of the Einstein-Cartan-Sciama-Kibble theory -- 4.8 The Weyl tensor and the Bel-Robinson tensor -- 4.9 Spinor form of commutators -- 4.10 Spinor form of the Bianchi identity -- 4.11 Curvature spinors and spin-coefficients -- 4.12 Compacted spin-coefficient formalism -- 4.13 Cartan's method -- 4.14 Applications to 2-surfaces -- 4.15 Spin-weighted spherical harmonics -- 5 Fields in space-time -- 5.1 The electromagnetic field and its derivative operator. 5.2 Einstein-Maxwell equations in spinor form -- 5.3 The Rainich conditions -- 5.4 Vector bundles -- 5.5 Yang-Mills fields -- 5.6 Conformal rescalings -- 5.7 Massless fields -- 5.8 Consistency conditions -- 5.9 Conformal invariance of various field quantities -- 5.10 Exact sets of fields -- 5.11 Initial data on a light cone -- 5.12 Explicit field integrals -- Appendix: diagrammatic notation -- References -- Subject and author index -- Index of symbols. Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Spinor analysis. http://id.loc.gov/authorities/subjects/sh85126718 Analyse spinorielle. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Space and time fast Spinor analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85125911 http://id.loc.gov/authorities/subjects/sh85126718 |
| title | Spinors and space-time. |
| title_alt | Two-spinor calculus and relativistic fields |
| title_auth | Spinors and space-time. |
| title_exact_search | Spinors and space-time. |
| title_full | Spinors and space-time. Volume 1, Two-spinor calculus and relativistic fields / Roger Penrose, Wolfgang Rindler. |
| title_fullStr | Spinors and space-time. Volume 1, Two-spinor calculus and relativistic fields / Roger Penrose, Wolfgang Rindler. |
| title_full_unstemmed | Spinors and space-time. Volume 1, Two-spinor calculus and relativistic fields / Roger Penrose, Wolfgang Rindler. |
| title_short | Spinors and space-time. |
| title_sort | spinors and space time two spinor calculus and relativistic fields |
| topic | Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Spinor analysis. http://id.loc.gov/authorities/subjects/sh85126718 Analyse spinorielle. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Space and time fast Spinor analysis fast |
| topic_facet | Space and time. Spinor analysis. Analyse spinorielle. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Space and time Spinor analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=800941 |
| work_keys_str_mv | AT penroseroger spinorsandspacetimevolume1 AT rindlerwolfgang spinorsandspacetimevolume1 AT penroseroger twospinorcalculusandrelativisticfields AT rindlerwolfgang twospinorcalculusandrelativisticfields |