The Wave Equation on a Curved Space-Time
Part of Cambridge Monographs on Mathematical Physics
- Author: F. G. Friedlander
- Date Published: March 2010
- availability: Available
- format: Paperback
- isbn: 9780521136365
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This book was originally published in 1975. In Einstein's General Theory of Relativity the effects of gravitation are represented by the curvature of space-time. Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time. One of the most basic of these processes is wave propagation, and this book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role. Although much of the book deals with four-dimensional space-time, the n-dimensional case is also treated, more briefly. The subject-matter is also of interest in other branches of mathematical physics and, as a fresh account of the classical work of Hadamard and M. Riesz, in the theory of partial differential equations.
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×Product details
- Date Published: March 2010
- format: Paperback
- isbn: 9780521136365
- length: 296 pages
- dimensions: 229 x 152 x 17 mm
- weight: 0.44kg
- availability: Available
Table of Contents
Preface
1. Differential geometry
2. Distribution theory
3. Characteristics and the propagation of discontinuities
4. Fundamental solutions
5. Representation theorems
6. Wave equations on n-dimensional space-times
Appendix
Bibliography
Notation
Index.
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