60 citations · 402 across the 74 of their papers we have counts for
3 papers · 2 filters
Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds
Hubert L. Bray, Demetre P. Kazaras, Marcus A. Khuri +1
An explicit lower bound for the mass of an asymptotically flat Riemannian 3-manifold is given in terms of linear growth harmonic functions and scalar curvature. As a consequence, a…
Geometric Inequalities for Quasi-Local Masses
Aghil Alaee, Marcus Khuri, Shing-Tung Yau
In this paper lower bounds are obtained for quasi-local masses in terms of charge, angular momentum, and horizon area. In particular we treat three quasi-local masses based on a Ha…
Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry
Edward Bryden, Marcus Khuri, Christina Sormani
The rigidity statement of the positive mass theorem asserts that an asymptotically flat initial data set for the Einstein equations with zero ADM mass, and satisfying the dominant…