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arXiv · 0906.2042

The Riemannian Penrose inequality and a virtual gravitational collapse

Seiju Ohashi·Tetsuya Shiromizu·Sumio Yamada
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Abstract

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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Seiju Ohashi, Tetsuya Shiromizu, Sumio Yamada. 2009-07-25. The Riemannian Penrose inequality and a virtual gravitational collapse. https://doi.org/10.1103/physrevd.80.047501

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