Trapped Surfaces in Vacuum Spacetimes

Details Trapped Surfaces in Vacuum Spacetimes Trapped Surfaces in Vacuum Spacetimes

1993-04-22

arxiv.org/abs/gr-qc/9304034v1

Class.Quant.Grav.11:419-430,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages

Scientific paper

10.1088/0264-9381/11/2/013

An earlier construction by the authors of sequences of globally regular, asymptotically flat initial data for the Einstein vacuum equations containing trapped surfaces for large values of the parameter is extended, from the time symmetric case considered previously, to the case of maximal slices. The resulting theorem shows rigorously that there exists a large class of initial configurations for non-time symmetric pure gravitational waves satisfying the assumptions of the Penrose singularity theorem and so must have a singularity to the future.

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