The non-perturbative method, developed recently, of WKB approximation
in complex time is applied to some known curved space time. Three case
s namely (1) static in and out region, (2) non-static in and out regio
n, (3) static in and non static out region are considered here. We fin
d non-trivial particle production corresponding to the quantum vacuum
definition of Castagnino and Mazzitelli.