Spinors and space-time: 1 Two-spinor calculus and relativistic fields
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1986
|
| Ausgabe: | Reprint. with corr. |
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 458 S. Ill. |
| ISBN: | 0521245273 0521337070 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804115404337971200 |
|---|---|
| adam_text | Contents
Preface vii
1 The geometry of world vectors and spin vectors 1
1.1 Minkowski vector space 1
1.2 Null directions and spin transformations 8
1.3 Some properties of Lorentz transformations 24
1.4 Null flags and spin vectors 32
1.5 Spinorial objects and spin structure 41
1.6 The geometry of spinor operations 56
2 Abstract indices and spinor algebra 68
2.1 Motivation for abstract index approach 68
2.2 The abstract index formalism for tensor algebra 76
2.3 Bases 91
2.4 The total reflexivity of £ on a manifold 98
2.5 Spinor algebra 103
3 Spinors and world tensors 116
3.1 World tensors as spinors 116
3.2 Null flags and complex null vectors 125
3.3 Symmetry operations 132
3.4 Tensor representation of spinor operations 147
3.5 Simple propositions about tensors and spinors at a point 159
3.6 Lorentz transformations 167
4 Differentiation and curvature 179
4.1 Manifolds 179
4.2 Covariant derivative 190
4.3 Connection independent derivatives 201
4.4 Differentiation of spinors 210
4.5 Differentiation of spinor components 223
4.6 The curvature spinors 231
4.7 Spinor formulation of the Einstein Cartan Sciama Kibble
theory 237
v
vi Contents
4.8 The Weyl tensor and the Bel Robinson tensor 240
4.9 Spinor form of commutators 242
4.10 Spinor form of the Bianchi identity 245
4.11 Curvature spinors and spin coefficients 246
4.12 Compacted spin coefficient formalism 250
4.13 Cartan s method 262
4.14 Applications to 2 surfaces 267
4.15 Spin weighted spherical harmonics 285
5 Fields in space time 312
5.1 The electromagnetic field and its derivative operator 312
5.2 Einstein Maxwell equations in spinor form 325
5.3 The Rainich conditions 328
5.4 Vector bundles 332
5.5 Yang Mills fields 342
5.6 Conformal rescalings 352
5.7 Massless fields 362
5.8 Consistency conditions 366
5.9 Conformal invariance of various field quantities 371
5.10 Exact sets of fields 373
5.11 Initial data on a light cone 385
5.12 Explicit field integrals 393
Appendix: diagrammatic notation 424
References 435
Subject and author index 445
Index of symbols 457
|
| any_adam_object | 1 |
| author | Penrose, Roger 1931- Rindler, Wolfgang 1924-2019 |
| author_GND | (DE-588)120520567 (DE-588)133106098 |
| author_facet | Penrose, Roger 1931- Rindler, Wolfgang 1924-2019 |
| author_role | aut aut |
| author_sort | Penrose, Roger 1931- |
| author_variant | r p rp w r wr |
| building | Verbundindex |
| bvnumber | BV000978573 |
| ctrlnum | (OCoLC)615014171 (DE-599)BVBBV000978573 |
| edition | Reprint. with corr. |
| format | Book |
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| id | DE-604.BV000978573 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:22:04Z |
| institution | BVB |
| isbn | 0521245273 0521337070 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000593954 |
| oclc_num | 615014171 |
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| owner_facet | DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-824 DE-634 |
| physical | X, 458 S. Ill. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mathematical physics |
| spelling | Penrose, Roger 1931- Verfasser (DE-588)120520567 aut Spinors and space-time 1 Two-spinor calculus and relativistic fields Roger Penrose ; Wolfgang Rindler Reprint. with corr. Cambridge [u.a.] Cambridge Univ. Press 1986 X, 458 S. Ill. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Raum (DE-588)4048561-4 gnd rswk-swf Spinoranalysis (DE-588)4182329-1 gnd rswk-swf Zeit (DE-588)4067461-7 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Spinor (DE-588)4182327-8 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Twistor (DE-588)4186504-2 gnd rswk-swf Raum (DE-588)4048561-4 s Zeit (DE-588)4067461-7 s Spinor (DE-588)4182327-8 s DE-604 Twistor (DE-588)4186504-2 s Raum-Zeit (DE-588)4302626-6 s Geometrie (DE-588)4020236-7 s Spinoranalysis (DE-588)4182329-1 s Allgemeine Relativitätstheorie (DE-588)4112491-1 s Rindler, Wolfgang 1924-2019 Verfasser (DE-588)133106098 aut (DE-604)BV000978572 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000593954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Penrose, Roger 1931- Rindler, Wolfgang 1924-2019 Spinors and space-time Raum (DE-588)4048561-4 gnd Spinoranalysis (DE-588)4182329-1 gnd Zeit (DE-588)4067461-7 gnd Geometrie (DE-588)4020236-7 gnd Spinor (DE-588)4182327-8 gnd Raum-Zeit (DE-588)4302626-6 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Twistor (DE-588)4186504-2 gnd |
| subject_GND | (DE-588)4048561-4 (DE-588)4182329-1 (DE-588)4067461-7 (DE-588)4020236-7 (DE-588)4182327-8 (DE-588)4302626-6 (DE-588)4112491-1 (DE-588)4186504-2 |
| title | Spinors and space-time |
| title_auth | Spinors and space-time |
| title_exact_search | Spinors and space-time |
| title_full | Spinors and space-time 1 Two-spinor calculus and relativistic fields Roger Penrose ; Wolfgang Rindler |
| title_fullStr | Spinors and space-time 1 Two-spinor calculus and relativistic fields Roger Penrose ; Wolfgang Rindler |
| title_full_unstemmed | Spinors and space-time 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 | Raum (DE-588)4048561-4 gnd Spinoranalysis (DE-588)4182329-1 gnd Zeit (DE-588)4067461-7 gnd Geometrie (DE-588)4020236-7 gnd Spinor (DE-588)4182327-8 gnd Raum-Zeit (DE-588)4302626-6 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Twistor (DE-588)4186504-2 gnd |
| topic_facet | Raum Spinoranalysis Zeit Geometrie Spinor Raum-Zeit Allgemeine Relativitätstheorie Twistor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000593954&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000978572 |
| work_keys_str_mv | AT penroseroger spinorsandspacetime1 AT rindlerwolfgang spinorsandspacetime1 |