Symmetries And Curvature Structure In General Relativity
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€173.60
A01=Graham S Hall
Author_Graham S Hall
Category=PBMW
Category=PHM
Category=PHR
Category=PHU
Connection
Curvature
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General Relatively
Lie Algebra
Metric
Space-Time Manifold
Symmetry
Product details
- ISBN 9789810210519
- Publication Date: 29 Apr 2004
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
