Physics
Scientific paper
Sep 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979rspsa.367..503s&link_type=abstract
Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 367, no. 1731, Sept. 28, 1979, p. 503-5
Physics
16
Mass Distribution, Schwarzschild Metric, Space-Time Functions, Wave Equations, Asymptotic Methods, Boundary Value Problems, Cauchy Problem, Einstein Equations, Harmonic Analysis, Integral Equations, Minkowski Space, Polynomials, Scalars
Scientific paper
A study of the asymptotic behavior of solutions of the zero rest mass scalar wave equation in the Schwarzchild space-time in a neighborhood of spatial infinity which includes parts of future and past null infinity is presented. The reasons for study of the propagation of zero rest mass fields in asymptotically simple space-times, the compactified space-time, the Euler-Poisson-Darboux (E.P.D.) equation, the Cauchy problem for generalized E.P.D. equation, and the asymptotic characteristic initial value problem are discussed. The behavior of zero rest mass fields is different from that which occurs in a flat space-time, and fields which have a Bondi-type expansion in powers of l/r near past null infinity do not have such an expansion near future null infinity. It was concluded that further solutions which have physically reasonable Cauchy data probably fail to have Bondi-type expansions near null infinity.
Schmidt Bernd G.
Stewart John M.
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