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math.DG2021★ 6 cited
Spacetime Harmonic Functions and Applications to Mass
Hubert Bray, Sven Hirsch, Demetre Kazaras +2
In the pioneering work of Stern, level sets of harmonic functions have been shown to be an effective tool in the study of scalar curvature in dimension 3. Generalizations of this i…
math.DG2020
Spacetime Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Initial Data for the Einstein Equations
Sven Hirsch, Demetre Kazaras, Marcus Khuri
We give a lower bound for the Lorentz length of the ADM energy-momentum vector (ADM mass) of 3-dimensional asymptotically flat initial data sets for the Einstein equations. The bou…
math.DG2018
A Positive Mass Theorem for Manifolds with Boundary
Sven Hirsch, Pengzi Miao
We derive a positive mass theorem for asymptotically flat manifolds with boundary whose mean curvature satisfies a sharp estimate involving the conformal Green's function. The theo…