Oops, by the time I posted the link they changed it. now it shows a hedgehog.
I did not confuse a black hole with a hedgehog.
The relativistic jets that you typically see in illustrations of black holes are coming from outside the event horizon, where the escape velocity is still below the speed of light. It's not exactly known what causes them, but it's generally believed that the maelstrom of incoming matter near the event horizon from the accretion disk becomes so energetic that a lot of it is forced back out again, in the only direction available: along the poles.
The illustrations are typically just close-up simplifications of what we can actually see happening at greater distances:
