A Smarandache multi-space is such a union space nUi=1Si of S1, S2,···, Sn for an integer n ⩾ 1. In this paper, we deduce the spacetime geodesic of Schwarzschild space, i.e., a Smarandachely Schwarzschild space with n = 1 by using Lagrangian equations. The deformation retract of this space will be presented. The relation between folding and deformation retract of this space will be achieved.