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*at most three differentiations are required to compare any two perfect [[fluid solution]]s,
*at most one differentiation is required to compare any two [[null dust solution]]s.
An important unsolved problem is to better predict how many differentiations are really necessary for spacetimes having various properties. For example, somewhere between two and five differentiations, at most, are required to compare any two Petrov '''III''' vacuum solutions. Overall, it seems to safe to say{{weasel-word|date=November 2012}} that at most six differentiations are required to compare any two spacetime models likely to arise in general relativity.
==See also==
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