Trapped surfaces due to concentration of gravitational radiation
Ó Murchadha, Niall
American Physical Society
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 obtained.
Scalar curvature , Manifolds , Existence
Beig, R. and Ó Murchadha, N. (1991) 'Trapped surfaces due to concentration of gravitational radiation', Physical Review Letters, 66(19), 2421-2424 (4pp). doi: 10.1103/PhysRevLett.66.2421
© 1991, American Physical Society