  We present a new application of Boundary String Field Theory: calculating the
induced-gravity action on a D-brane. Using a simple quadratic tachyon potential
to model a D-brane fluctuating in the flat target space we derive the effective
action in terms of the extrinsic curvature to all orders in alpha'. We identify
both the Born-Infeld structure as well as the Einstein-Hilbert term at order
alpha'. This corroborates the conjectured existence of the latter term in the
brane-world scenarios. The higher order terms in Ricci scalar and extrinsic
curvature suggest a pattern which calls for an explanation.
