Relativity on Curved Manifolds

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Hardcover | 15 October 1990

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Hardcover
464 Pages

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23.6 x 15.9 x 3.5

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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.

Industry Reviews

' ... 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

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Geometry and physics: an overview
The background manifold structure
Differentiation
The curvature
Space-time and tetrad formalism
Spinors and the classification of the Weyl tensor
Coupling between fields and geometry
Dynamics on curved manifolds
Geometry of congruences
Physical measurements in space-time
Spherically symmetric solutions
Axially symmetric solutions
References
Notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

Relativity on Curved Manifolds

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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Paperback

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