In this paper, we prove that if an asymptotically Euclidean manifold with nonnegative scalar curvature has long-time existence of Ricci flow, the ADM mass is nonnegative. We also give an independent proof of the positive mass theorem in dimension three.
"Ricci flow on asymptotically Euclidean manifolds." Geom. Topol. 22 (3) 1837 - 1891, 2018. https://doi.org/10.2140/gt.2018.22.1837