Positive mass theorem on manifolds admitting corners along a hypersurface
Positive mass theorem on manifolds admitting corners along a hypersurface
We study a class of non-smooth asymptotically flat manifolds on which metrics fail to be C 1 across a hypersurface E. We first give an approximation scheme to mollify the metric, then we show that the Positive Mass Theorem [8] still holds on these manifolds if a geometric boundary condition …