The Wave Equation on a Curved Space–Time

Abstract

The continuing interest in general relativity has created the need for a book on the rigorous mathematical theory of wave propagation in curved space–time, both for treatment of classical radiation and as a basis for the more recent developments in the subject of quantum fields on a manifold. This book meets that demand by treating in the language of modern differential geometry and the theory of distributions some of the pioneering work on wave propagation due to Hadamard and Riesz.