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arXiv · gr-qc/9511070

Vacuum Spacetimes with Future Trapped Surfaces

R. Beig·N. Ó Murchadha
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Abstract

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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R. Beig, N. Ó Murchadha. 1995-11-27. Vacuum Spacetimes with Future Trapped Surfaces. https://doi.org/10.1088/0264-9381%2F13%2F4%2F014

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