Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-08-16
Class.Quant.Grav. 21 (2004) 5777-5788
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
minor misprints corrected
Scientific paper
10.1088/0264-9381/21/24/007
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.
Malec Edward
Murchadha Niall Ó
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