  The Schwarzschild-deSitter metric is the known solution of Einstein field
equations with cosmological constant term for vacuum spherically symmetric
space around a point mass M. Recently it has been reported that in a
$Lamda$-dominant world the Schwarzschild type coordinate systems are
disqualified by redshift-magnitude test as a proper frame of
reference(gr-qc/9812092). We derive the solution in a FRW type coordinate
system which is qualified according to the mentioned test. Asymptotically it
approachs to the non-static form of deSitter metric. The obtained metric is
transformable to Schwarzschild-deSitter metric. It is an analytic function of
$r$ for all values except $r=0$which is singular. This is carried out with no
making use of Eddington-Finkelstein coordinates and without entering any cross
term in the metric.
