A positive mass theorem for Lipschitz metrics with small singular sets
A positive mass theorem for Lipschitz metrics with small singular sets
We prove that the positive mass theorem applies to Lipschitz metrics as long as the singular set is low-dimensional, with no other conditions on the singular set. More precisely, let $g$ be an asymptotically flat Lipschitz metric on a smooth manifold $M^n$ such that $n<8$ or $M$ is spin. As …