Trapped surfaces due to concentration of gravitational radiation
19914 pages
Published in:
- Phys.Rev.Lett. 66 (1991) 2421-2424
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Abstract: (APS)
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 that critical sequences contain trapped surfaces for large values of the argument. Thus, by a theorem due 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 obtained.- gravitational radiation
- general relativity
- boundary condition
- approximation: strong field
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