Riemannian Penrose inequality and a virtual gravitational collapse
Abstract
We reinterpret the proof of the Riemannian Penrose inequality by Bray. The modified argument turns out to have a nice feature so that the flow of Riemannian metrics appearing in Bray’s proof gives a Lorentzian metric of a spacetime. We also discuss a possible extension of our approach to charged black holes.
- Publication:
-
Physical Review D
- Pub Date:
- August 2009
- DOI:
- 10.1103/PhysRevD.80.047501
- arXiv:
- arXiv:0906.2042
- Bibcode:
- 2009PhRvD..80d7501O
- Keywords:
-
- 04.20.Dw;
- 02.40.Ky;
- 04.70.Bw;
- Singularities and cosmic censorship;
- Riemannian geometries;
- Classical black holes;
- General Relativity and Quantum Cosmology;
- Astrophysics - Cosmology and Extragalactic Astrophysics;
- High Energy Physics - Theory;
- Mathematics - Differential Geometry
- E-Print:
- 4pages, minor changes, accepted for publication in Physical Review D