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math.DG2018
Gluing Bartnik extensions, continuity of the Bartnik mass, and the equivalence of definitions
Stephen McCormick
In the context of the Bartnik mass, there are two fundamentally different notions of an extension of some compact Riemannian manifold with boundary. In one case, the extens…
math.DG2018
Asymptotically hyperbolic extensions and an analogue of the Bartnik mass
Armando J. Cabrera Pacheco, Carla Cederbaum, Stephen McCormick
The Bartnik mass is a quasi-local mass tailored to asymptotically flat Riemannian manifolds with non-negative scalar curvature. From the perspective of general relativity, these mo…