  In this work we apply the Fradkin-Vasiliev formalism based on the frame-like
gauge invariant description of the massive and massless spin 2 to the
construction of the cubic interactions vertices for massive spin 2
self-interaction as well as its gravitational interaction. In the first case we
show that the vertex can be reduced (by field redefinitions) to the set of the
trivially gauge invariant terms. There are four such terms which are not
equivalent om-shell and do not contain more than four derivatives. Moreover,
one their particular combination reproduces the minimal (with no more than two
derivatives) vertex. As for the gravitational vertex, we show that due to the
presence of the massless spin 2 there exist two abelian vertices (besides the
three trivially gauge invariant ones) which are not equivalent to any trivially
gauge invariant terms and can not be removed by field redefinitions. Moreover,
their existence appears to be crucial for the possibility to reproduce the
minimal two derivatives vertex.
