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arXiv · 1311.4970

Weak null singularities in general relativity

Jonathan Luk
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Abstract

We construct a class of spacetimes (without symmetry assumptions) satisfying the vacuum Einstein equations with singular boundaries on two null hypersurfaces intersecting in the future on a 2-sphere. The metric of these spacetimes extends continuously beyond the singularities while the Christoffel symbols fail to be square integrable in a neighborhood of any point on the singular boundaries. The construction shows moreover that the singularities are stable in a suitable sense. These singularities are stronger than the impulsive gravitational spacetimes considered by Luk-Rodnianski and conjecturally they are present in the interior of generic black holes arising from gravitational collapse.

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Jonathan Luk. 2013-11-20. Weak null singularities in general relativity. https://arxiv.org/abs/1311.4970

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