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Using dispersive representations of the nucleon gravitational form factors,the results for their absorptive parts from chiral effective field theory incurved space-time, and the mechanical stability conditions, we obtain a modelindependent inequality for the value of the gravitational $D(t)$ form factor atzero momentum transfer (Druck-term). In particular, the obtained inequalityleads to a conservative bound on the Druck-term in the chiral limit $D \leq-0.95(9)$. This bound implies the restriction on the low-energy constant $c_8$of the effective chiral action for nucleons and pions in the presence of anexternal gravitational field,  $c_8\leq -1.1(1)$ GeV$^{-1}$. For the physical pion mass we obtain a modelindependent bound $D\leq -0.20(2)$.

A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions