Predictably the papers answer is no. Why? Because current numerical methods in general relativity are limited. The paper implies that these limitations are
In any case Friedrich then divides the field equations to four classes
He then discusses each in turn.
The paper is quite nice and moderately well structured from this point on since, in each section, Friedrich discusses where the equations come from, what results are known and why we have problems with them. All stuff the aspiring numerical relativist needs.
The paper also has well over 100 references. So I plan on using it as a reading list of things I should pay attention to. One of which will be the Yamabe problem.