Initial Data Rigidity Results.
Michael EichmairGregory J GallowayAbraão MendesPublished in: Communications in mathematical physics (2021)
We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.