Symmetries and curvature structure in general relativity:
This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2004
|
| Series: | World Scientific lecture notes in physics
v. 46 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided |
| Physical Description: | x, 430 p. ill |
| ISBN: | 9789812562692 |
Staff View
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| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812562692 |
| language | English |
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| physical | x, 430 p. ill |
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| spelling | Hall, G. S. Verfasser aut Symmetries and curvature structure in general relativity G S Hall Singapore World Scientific Pub. Co. c2004 x, 430 p. ill txt rdacontent c rdamedia cr rdacarrier World Scientific lecture notes in physics v. 46 This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided Symmetry (Physics) Symmetric spaces Spaces of constant curvature Relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Krümmung (DE-588)4128765-4 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 s Symmetrie (DE-588)4058724-1 s Krümmung (DE-588)4128765-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810210519 Erscheint auch als Druck-Ausgabe 9810210515 http://www.worldscientific.com/worldscibooks/10.1142/1729#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hall, G. S. Symmetries and curvature structure in general relativity Symmetry (Physics) Symmetric spaces Spaces of constant curvature Relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Krümmung (DE-588)4128765-4 gnd Symmetrie (DE-588)4058724-1 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4128765-4 (DE-588)4058724-1 |
| title | Symmetries and curvature structure in general relativity |
| title_auth | Symmetries and curvature structure in general relativity |
| title_exact_search | Symmetries and curvature structure in general relativity |
| title_full | Symmetries and curvature structure in general relativity G S Hall |
| title_fullStr | Symmetries and curvature structure in general relativity G S Hall |
| title_full_unstemmed | Symmetries and curvature structure in general relativity G S Hall |
| title_short | Symmetries and curvature structure in general relativity |
| title_sort | symmetries and curvature structure in general relativity |
| topic | Symmetry (Physics) Symmetric spaces Spaces of constant curvature Relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Krümmung (DE-588)4128765-4 gnd Symmetrie (DE-588)4058724-1 gnd |
| topic_facet | Symmetry (Physics) Symmetric spaces Spaces of constant curvature Relativity (Physics) Allgemeine Relativitätstheorie Krümmung Symmetrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1729#t=toc |
| work_keys_str_mv | AT hallgs symmetriesandcurvaturestructureingeneralrelativity |