The wave equation on a curved space-time
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書誌事項
The wave equation on a curved space-time
（Cambridge monographs on mathematical physics, 2）
Cambridge University Press, 1975
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注記
Bibliography: p. 273-275
Includes index
内容説明・目次
内容説明
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.
目次
- 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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