Trapped surfaces due to concentration of gravitational radiation

Details Trapped surfaces due to concentration of gravitational radiation Trapped surfaces due to concentration of gravitational radiation

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvl..66.2421b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 66, May 13, 1991, p. 2421-2424.

Mathematics

33

Gravitational Collapse, Gravitational Waves, Relativistic Theory, Space-Time Functions, Conformal Mapping, Einstein Equations, Riemann Manifold, Singularity (Mathematics)

Scientific paper

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.

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