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Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes

Andersson, Lars et al.
arXiv (All) · Papers
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differential-geometrygeneral-relativity-and-quantum-cosmologymathematical-physics
We define a quasilocal mass of Bartnik type, and establish its positivity and temporal monotonicity properties for two classes of domains associated with black holes. More precisely, we first show that the quasilocal mass is strictly positive for spacelike hypersurfaces that are: compact with appare
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