My intuition is telling me they would experience length contraction the same as anything else but I cannot find anything that says this would be the case.
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3FWIW: "length contraction" is not something that things "experience." It's something that you observe when you measure the length of a thing that is flashing past you at relativistic speed. Suppose it's a space ship. You might observe it to be contracted in the direction of its flight, but the crew on the ship won't notice anything out of the ordinary. – Solomon Slow Apr 05 '20 at 19:46
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I've removed a number of comments that were attempting to answer the question and/or responses to them. Please keep in mind that comments should be used for suggesting improvements and requesting clarification on the question, not for answering. – David Z Apr 05 '20 at 22:27
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Your question is unclear. Are you asking if length contraction applies to the Schwarzschild radius of a black hole that's observed to be traveling at a significant fraction of light speed? Bear in mind that the event horizon itself isn't visible. Also, the effect of length contraction on the appearance of a ball at high speed is complicated due to the time it takes light to travel from the various parts of the ball to the observer, see https://en.wikipedia.org/wiki/Terrell_rotation – PM 2Ring Apr 06 '20 at 01:10
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Ok, my question is asking about the event horizon. Would the black hole appear to flatten as it approaches the speed of light? – Joe Apr 06 '20 at 11:53
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Related, though not a duplicate: Is a black hole's surface area invariant for distant intertial observers? – John Rennie Apr 06 '20 at 12:08
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1I'm a bit surprised people are saying this is unclear. In the coordinates of the Schwarzschild observer the event horizon is a sphere. The question is simply in the coordinates of an observer at infinity boosted relative to the Schwarzschild observer is the event horizon still a sphere? – John Rennie Apr 06 '20 at 12:10