Symmetries and curvature structure in general relativity:
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Bibliographic Details
Main Author: Hall, G. S., (Graham S.) (Author)
Format: Electronic eBook
Language:English
Published: River Edge, NJ World Scientific 2004
Series:World Scientific lecture notes in physics v. 46
Subjects:
Online Access:FAW01
FAW02
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Item Description:Includes bibliographical references and index
Symmetries and Curvature Structure in General Relativity; Preface; Contents; 1. Introduction; 2. Algebraic Concepts; 3. Topology; 4. Manifold Theory; 5. Lie Groups; 6. The Lorentz Group; 7. Space-Times and Algebraic Classification; 8. Holonomy Groups and General Relativity; 9. The Connection and Curvature Structure of Space-Time; 10. Affine Vector Fields on Space-Time; 11. Conformal Symmetry in Space-times; 12. Projective Symmetry in Space-times; 13. Curvature Collineations; Bibliography; Index
This is a text on classical general relativity from a geometricalviewpoint. Introductory chapters are provided on algebra, topology andmanifold theory, together with a chapter on the basic ideas ofspace-time manifolds and Einstein's theory. There is a detailedaccount of algebraic structures and tensor classification in generalrelativity and also of the relationships between the metric,connection and curvature structures on space-times. The latterincludes chapters on holonomy and sectional curvature. An extensivestudy is presented of symmetries in general relativity, includingisometries, homoth
Physical Description:1 Online-Ressource (x, 430 p.)
ISBN:9789810210519
9789812562692
9810210515
9812562699

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