Abstract
When a lump of matter falls into a black hole it is expected that a marginally trapped tube when hit moves outwards everywhere, even in regions not yet in causal contact with the infalling matter. But to describe this phenomenon analytically in 3 + 1 dimensions is difficult since gravitational radiation is emitted. By considering a particle falling into a toy model of a black hole in 2 + 1 dimensions an exact description of this non-local behaviour of a marginally trapped tube is found.
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