I need to show that the Spatial Schwarzschild manifold $\big(M:=\mathbb{R^3} \backslash \{0\}, (1+\frac{m}{2s})^4\delta\big)$. (where $\delta$ is the Euclidean metric on $M$ in spherical coordinates, $m>0$, and $s(x,y,z) = (x^2+y^2+z^2)^{\frac{1}{2}}$ is the radial component) is geodesically complete.
I was thinking if I could prove that it is compact, then that would prove the statement but with no luck so far, so maybe there is an easier approach which I can't see.
Any help would be appreciated.