The energy–momentum tensor (EMT) for a spin-3/2 baryon is related to seven mechanical quantities. In this work, we provide the general form of the gravitational form factors (GFFs) for a spin-3/2 baryon by using the multipole expansion and interesting relations between the EMT densities and the GFFs. To verify those general relations, we study the nucleon and the $$\Delta $$
Δ
GFFs within the SU(2) Skyrme model based on the large $$N_{c}$$
N
c
limit.