The wave equation on a curved space-time
F G Friedlander
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
Kategoriler:
Yıl:
1975
Yayımcı:
Cambridge University Press
Dil:
english
Sayfalar:
290
ISBN 10:
0521205670
ISBN 13:
9780521205672
Seriler:
Cambridge monographs on mathematical physics
Dosya:
PDF, 21.08 MB
IPFS:
,
english, 1975