  In the framework of chiral effective field theory of delta resonances,
nucleons and pions interacting with background gravitational field we calculate
the gravitational form factors of the nucleon up to fourth order in the small
scale expansion and obtain the long-range behavior of the corresponding
contributions to the energy, spin, pressure and shear force distributions. By
comparing nucleon gravitational form factors with and without delta
contributions we conclude that explicit inclusion of deltas plays an important
role. Next we explore the Lorentz structure of the $N \mapsto N \pi$ transition
matrix element of the conserved symmetric energy-momentum tensor and introduce
its parametrization in terms of twelve transition form factors. We use the
chiral effective field theory to calculate the tree-order contributions to the
gravitational transition form factors of the pion graviproduction off the
nucleon up to third order.
