The Riemannian Penrose inequality and a virtual gravitational collapse
General Relativity and Quantum Cosmology
2010-02-25 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Differential Geometry
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.
Keywords
Cite
@article{arxiv.0906.2042,
title = {The Riemannian Penrose inequality and a virtual gravitational collapse},
author = {Seiju Ohashi and Tetsuya Shiromizu and Sumio Yamada},
journal= {arXiv preprint arXiv:0906.2042},
year = {2010}
}
Comments
4pages, minor changes, accepted for publication in Physical Review D