The Wave Equation on a Curved Space-Time

Erscheinungsjahr 2010
ISBN: 978-0-521-13636-5
Verlag: Cambridge University Press

Buch, Englisch, 296 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 484 g

Reihe: Cambridge Monographs on Mathematical Physics

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.

Autoren/Hrsg.

Friedlander, F. G.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation

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.