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math.DG2003★ 2 cited
Black holes and the Penrose inequality in general relativity
Hubert L. Bray
In a paper \cite{P} in 1973, R. Penrose made a physical argument that the total mass of a spacetime which contains black holes with event horizons of total area should be at le…
math.DG1999
Proof of the Riemannian Penrose Conjecture Using the Positive Mass Theorem
Hubert L. Bray
We prove the Riemannian Penrose conjecture, an important case of a conjecture made by Roger Penrose in 1973, by defining a new flow of metrics. This flow of metrics stays inside th…
math.DG1999
Curvature Estimates and the Positive Mass Theorem
Hubert Bray, Felix Finster
The Positive Mass Theorem implies that any smooth, complete, asymptotically flat 3-manifold with non-negative scalar curvature which has zero total mass is isometric to (R^3, delta…