Trapped surfaces due to concentration of gravitational radiation
- 13 May 1991
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (19) , 2421-2424
- https://doi.org/10.1103/physrevlett.66.2421
Abstract
Sequences of nonsingular, asymptotically flat initial data for general relativity (GR) in vacuo, called critical sequences, are defined which approach the strong-field limit of GR in a precise sense. It is proven to Penrose, the spacetimes evolving from all such configurations must develop singularities. In the course of the proof a new and conceptually simple proof of the positivity of the Arnowitt-Deser-Misner mass in the strong-field regime is obtainedKeywords
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