It is well known that fundamental linear higher-spin (\geq 2) fields are unphysical: they cannot be a a source of gravity, i.e. their dynamics is inconsistent unless they exist as test fields in an empty space. A certain kind of nonlinear spin-2 field arises from vacuum nonlinear metric gravity theories (Lagrangian being any smooth scalar function of Ricci tensor) as a component of a multiplet of tensor fields describing gravity. These theories can be reformulated as Einstein gravity theory with gravity described by the metric field alone and the other fields contained in the multiplet acting as a ``matter'' source in Einstein field equations. This framework provides a consistent gravitational interaction for the spin-2 field. A number of open problems still remains. This paper is a progress report on a joint work done by Guido Magnano and myself.

PACS numbers: 04.20.Cv, 04.50.+h