The Wave Equation on a Curved Space-Time F.G. Friedlander

ISBN: 9780521205672

Published: February 27th 1976

Hardcover

292 pages


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The Wave Equation on a Curved Space-Time  by  F.G. Friedlander

The Wave Equation on a Curved Space-Time by F.G. Friedlander
February 27th 1976 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 292 pages | ISBN: 9780521205672 | 4.77 Mb

This book was originally published in 1975. In Einsteins 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 treatedMoreThis book was originally published in 1975. In Einsteins 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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