Relativity on Curved Manifolds

ISBN-13: 9780521266390 / Angielski / Twarda / 1990 / 464 str.

F. De Felice; C. J. S. Clarke; Peter Landshoff

Opis

General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be exploited fully without a detailed knowledge of its mathematical structure. This book aims to implement this structure, and then to develop those applications that have been central to the growth of the theory.

Recenzje

' … 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

Spis treści

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.