The Jang equation, apparent horizons, and the Penrose inequality
arXiv:gr-qc/0408044 · doi:10.1088/0264-9381/21/24/007
Abstract
The Jang equation in the spherically symmetric case reduces to a first order equation. This permits an easy analysis of the role apparent horizons play in the (non)existence of solutions. We demonstrate that the proposed derivation of the Penrose inequality based on the Jang equation cannot work in the spherically symmetric case. Thus it is fruitless to apply this method, as it stands, to the general case. We show also that those analytic criteria for the formation of horizons that are based on the use of the Jang equation are of limited validity for the proof of the trapped surface conjecture.
arXiv commentminor misprints corrected
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Cited by in corpus (11)
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- The Hoop Conjecture in Spherically Symmetric Spacetimes
- Blowup of Jang's equation at outermost marginally trapped surfaces
- Brown-York mass and the hoop conjecture in non-spherical massive systems
- Analytical studies on the hoop conjecture in charged curved spacetimes
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- On blow-up solutions of the Jang equation in spherical symmetry
- Investigations on hoop conjecture for horizonless spherical charged stars
- Blowup solutions of Jang's equation near a spacetime singularity