  We discuss a no-go theorem for the novel Ricci-inverse theory of gravity.
Referring to a static spherically symmetric matter distribution embedded in a
de Sitter cosmology, we prove that it is impossible to have a stable
Sub-Horizon non-relativistic Weak-Field limit in any model proposed in previous
works to avoid some cosmological and inflationary instabilities. We discuss
possible ways to circumvent the issue, and point out a machinery to build new
stable models under Sub-Horizon non-relativistic Weak-Field limit. Such models
exhibit full consistency with predictions of General Relativity on small
scales.
