Relativity on Curved Manifolds
Series: Cambridge Monographs on Mathematical Physics;
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86 543 Ft
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Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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Product details:
- Publisher Cambridge University Press
- Date of Publication 25 May 1990
- ISBN 9780521266390
- Binding Hardback
- No. of pages464 pages
- Size 236x159x35 mm
- Weight 870 g
- Language English 0
Categories
Short description:
This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.
MoreLong description:
This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurements on curved manifolds. General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be fully explained without a detailed knowledge of its mathematical structure. The aim of this book is to introduce this structure, and then to use it to develop those applications that have been central to the growth of the theory. An overview of differential geometry is provided and properties of a tetrad field are then extensively analysed. These are used to introduce spinors, to describe the geometry of congruences and define the physical measurements on a curved manifold. The coupling of fields and geometry is investigated in terms of Lagrangeans and a detailed discussion of some exact solutions of the Einstein equations are provided.
'&&&160;... a useful book with some unusual features which will win it a place on relativists' shelves and may be of interest to mathematical physicists in general.' Contemporary Physics
Table of Contents:
Geometry and physics: an overview; 1. The background manifold structure; 2. Differentiation; 3. The curvature; 4. Space-time and tetrad formalism; 5. Spinors and the classification of the Weyl tensor; 6. Coupling between fields and geometry; 7. Dynamics on curved manifolds; 8. Geometry of congruences; 9. Physical measurements in space-time; 10. Spherically symmetric solutions; 11. Axially symmetric solutions; References; Notation; Index.
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