Vacuum Spacetimes with Future Trapped Surfaces

Details Vacuum Spacetimes with Future Trapped Surfaces Vacuum Spacetimes with Future Trapped Surfaces

1995-11-27

arxiv.org/abs/gr-qc/9511070v1

Class.Quant.Grav. 13 (1996) 739-752

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

10.1088/0264-9381/13/4/014

In this article we show that one can construct initial data for the Einstein equations which satisfy the vacuum constraints. This initial data is defined on a manifold with topology $R^3$ with a regular center and is asymptotically flat. Further, this initial data will contain an annular region which is foliated by two-surfaces of topology $S^2$. These two-surfaces are future trapped in the language of Penrose. The Penrose singularity theorem guarantees that the vacuum spacetime which evolves from this initial data is future null incomplete.

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