We establish a lower bound on the total mass of the time slices of \((n+1)\) -dimensional asymptotically flat standard static spacetimes under the timelike convergence condition (TCC). The inequality can be viewed equivalently as a Minkowski-type inequality in these spaces, i.e. as a lower bound on the total mean curvature of the boundary, and thus extends inequalities from [4, 20, 23], and [11]. Equality is achieved only by slices of Schwarzschild space and is related to the characterization of quasi-spherical static vacuum metrics from [11]. As a notable special case, we obtain the Riemannian Penrose inequality in all dimensions for static spaces under the TCC.
