The Wave Equation on a Curved Space-Time

By F.G. Friedlander

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 0521136369
• ISBN13: 9780521136365
• Release Date: February 2010
• Publisher: Cambridge University Press
• Length: 296 Pages
• Weight: 0.96 lbs.
• Dimensions: 0.7" x 6.0" x 9.0"