  We apply a new analytic scheme, developed in a preceding paper, in order to
calculate the late time behavior of scalar test fields evolving outside a
Schwarzschild 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
preceding paper. A simple late time expansion of the scalar field is then used,
relying on the results at null infinity, to construct a complete picture of the
late time wave behavior anywhere outside the black hole. This reproduces the
well known power-law tails at time-like infinity and along the event horizon.
The main motivation for the introduction of the new approach arises from its
applicability to rotating black holes, as shall be discussed in a forthcoming
paper.
