The Wave Equation on a Curved Space-Time - Brossura

Friedlander, F

Brossura

ISBN 10: 0521136369 ISBN 13: 9780521136365

Casa editrice: Cambridge University Press, 2010

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

Contenuti:

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2010
• ISBN 10: 0521136369
• ISBN 13: 9780521136365
• Rilegatura: Copertina flessibile
• Numero di pagine: 296