Podkhod, ispol{cyrillic small soft sign}zuyushchii{cyrillic, short} chyetyryekhmyernyye funkts ii Grina, k vychislyeniyu gravitats ionnogo izluchyeniya cha stits, padayushchikh v chyernu yu dyru. padayushchikh v chyernuyu dyr u.

Abstract

A four-dimensional Green's function method to calculate the gravitational radiation from a particle moving in the field of a black hole is described in detail. This technique is applicable even to problems in which the background geometry has no symmetry. An explicit example of the Schwarzschild black hole is worked out, and a comparison of the projection of our results onto definite angular momenta shows excellent agreement with the literature. © 1973 Società Italiana di Fisica.