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arXiv · 2606.10910

Convex foliations and trapped submanifolds

Gustavo Dotti
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Abstract

The conjecture that compact trapped submanifolds (CTMs) of any codimension greater than one cannot intersect the domain of outer communications of a black hole is tested in symmetrically collapsing spacetimes of $n+1$ dimensions, $n \geq 2$, and on the entire Kerr-Newman sub-extreme family. The results provide evidence to the idea that CTMs of lower dimension, such as trapped loops, should be ragarded as black hole signatures.

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Gustavo Dotti. 2026-06-09. Convex foliations and trapped submanifolds. https://arxiv.org/abs/2606.10910

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