The Wave Equation on a Curved Space-Time

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2010
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521136365
ISBN-10:	0521136369
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Friedlander, F. G.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 18 mm
Von/Mit:	F. G. Friedlander
Erscheinungsdatum:	30.01.2010
Gewicht:	0,484 kg