Relativity on curved manifolds
Author(s)
Bibliographic Information
Relativity on curved manifolds
（Cambridge monographs on mathematical physics）
Cambridge University Press, 1990
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Note
Bibliography: p. 434-440
Includes index
Description and Table of Contents
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.
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.
by "Nielsen BookData"
