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arxiv: 0906.2042 · v2 · submitted 2009-06-11 · 🌀 gr-qc · astro-ph.CO· hep-th· math.DG

The Riemannian Penrose inequality and a virtual gravitational collapse

classification 🌀 gr-qc astro-ph.COhep-thmath.DG
keywords riemannianbrayinequalitypenroseproofappearingapproachargument
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We reinterpret the proof of the Riemannian Penrose inequality by H. Bray. The modified argument turns out to have a nice feature so that the flow of Riemannian metrics appearing Bray's proof gives a Lorentzian metric of a spacetime. We also discuss a possible extension of our approach to charged black holes.

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