000			01508 a2200181 4500
003			OSt
005			20230509161218.0
008			230509b |||||||| |||| 00| 0 eng d
020			_a9780521136365
050			_aQC173.59.S65
100			_a Friedlander, F. G. (Friedrich Gerard)
245			_aThe wave equation on a curved space-time
260			_bCambridge University Press _aCambridge, UK _cc1975 (p2010)
300			_aix, 282p.
490			_aCambridge monographs on Mathematical Physics 2
520			_aThis 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 rigorous 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.
942			_2lcc _cBK
999			_c3221 _d3221