Spinors and space-time: 1 Two-spinor calculus and relativistic fields
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Univ. Pr.
2003
|
| Ausgabe: | Transfered to digital print. |
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 458 S. graph. Darst. |
| ISBN: | 0521245273 0521337070 |
Internformat
MARC
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| 245 | 1 | 0 | |a Spinors and space-time |n 1 |p Two-spinor calculus and relativistic fields |c Roger Penrose ; Wolfgang Rindler |
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Datensatz im Suchindex
| _version_ | 1804130369860009984 |
|---|---|
| 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
S on a
manifold
98
2.5
Spinor algebra
103
3
Spinors and world-tensors
116
3.1
World-tensors as spinors H6
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
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
Conformai rescalings
352
5.7
Massless fields
362
5.8
Consistency conditions
366
5.9
Conformai 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 | BV017614834 |
| ctrlnum | (OCoLC)634766709 (DE-599)BVBBV017614834 |
| edition | Transfered to digital print. |
| format | Book |
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| id | DE-604.BV017614834 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:19:57Z |
| institution | BVB |
| isbn | 0521245273 0521337070 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010597045 |
| oclc_num | 634766709 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | X, 458 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Univ. Pr. |
| 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 Transfered to digital print. Cambridge u.a. Univ. Pr. 2003 X, 458 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Raum (DE-588)4048561-4 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Spinoranalysis (DE-588)4182329-1 gnd rswk-swf Spinor (DE-588)4182327-8 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Zeit (DE-588)4067461-7 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 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)BV008552691 1 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010597045&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 Geometrie (DE-588)4020236-7 gnd Spinoranalysis (DE-588)4182329-1 gnd Spinor (DE-588)4182327-8 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Zeit (DE-588)4067461-7 gnd Raum-Zeit (DE-588)4302626-6 gnd Twistor (DE-588)4186504-2 gnd |
| subject_GND | (DE-588)4048561-4 (DE-588)4020236-7 (DE-588)4182329-1 (DE-588)4182327-8 (DE-588)4112491-1 (DE-588)4067461-7 (DE-588)4302626-6 (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 Geometrie (DE-588)4020236-7 gnd Spinoranalysis (DE-588)4182329-1 gnd Spinor (DE-588)4182327-8 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Zeit (DE-588)4067461-7 gnd Raum-Zeit (DE-588)4302626-6 gnd Twistor (DE-588)4186504-2 gnd |
| topic_facet | Raum Geometrie Spinoranalysis Spinor Allgemeine Relativitätstheorie Zeit Raum-Zeit Twistor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010597045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008552691 |
| work_keys_str_mv | AT penroseroger spinorsandspacetime1 AT rindlerwolfgang spinorsandspacetime1 |