Late time dynamics of scalar perturbations outside black holes. II. Schwarzschild geometry - art. no. 044017

We apply a new analytic scheme, developed in a previous paper, in order to calculate the late time behavior of scalar test fields evolving outside a S chwarzschild black hole. The pattern of the late time decay at future null infinity is found to be the same as in the shell toy model studied in the p revious paper. A simple late time expansion of the scalar field is then use d, relying on the results at null infinity, to construct a complete picture of the late time wave behavior anywhere outside the black hole. This repro duces the well known power-law tails at timelike infinity and along the eve nt horizon. The main motivation for the introduction of the new approach ar ises from its applicability to rotating black holes, as shall be discussed in a forthcoming paper. [S0556-2821(99)00104-6].