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math.DG2019
Stability of a quasi-local positive mass theorem for graphical hypersurfaces of Euclidean space
Aghil Alaee, Armando J. Cabrera Pacheco, Stephen McCormick
We present a quasi-local version of the stability of the positive mass theorem. We work with the Brown--York quasi-local mass as it possesses positivity and rigidity properties, an…
math.DG2019
On the evolution of the spacetime Bartnik mass
Stephen McCormick, Pengzi Miao
It is conjectured that the full (spacetime) Bartnik mass of a surface is realised as the ADM mass of some stationary asymptotically flat manifold with boundary data prescribed…