The equation of motion of a perfect gas is solved on a computer for several cases of matter falling into a Kerr black hole. In most cases, the gas falls into the hole with no appreciable heating. When the material falling in is corotating with the metric, shock waves are formed if the specific angular momentum of the hole, Jc/GM2, is close to 1 and if the specific angular momentum of the infalling material, /GM, is greater than 2.
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J. R. Wilson (1972) studied this question.