New approach to Einstein-Petrov type I spaces. II: A classification scheme (Q1085805)

[Part I, cf. ibid. 18, 251-270 (1979; Zbl 0423.53020).] A classification scheme is presented which enables one to have an overall look at Einstein-Petrov type I spaces and in particular to pick out those spaces whose Petrov scalars are functionally independent. It is shown that some subclasses defined by quite severe simplifying assumptions (which lead to considerable simplification of the field equations) still retain functionally independent Petrov scalars. For these subclasses three coupled differential equations (two of which are wave equations) are calculated for the Petrov scalars.