  We solve the Einstein's equation in five-dimensional spacetime for Randall
Sundrum Brane world model with time dependent radion field to study variation
of brane scale factor with time. We have shown that as radion field decreases
with time compactifying the extra dimension, the scale factor increases
exponentially with time leading to inflationary scenario. We have also proposed
a time dependent generalization of Goldberger-Wise moduli stabilization
mechanism to explain the time evolution of the radion field to reach a stable
value after which the scale factor on the brane exits from inflationary
expansion.
