  Form factors of the energy-momentum tensor (EMT) can be interpreted in
certain frames in terms of spatial distributions of energy, stress, linear and
angular momentum, based on 2D or 3D Fourier transforms. This interpretation is
in general subject to "relativistic recoil corrections", except when the
nucleon moves at the speed of light like e.g. in the infinite-momentum frame.
We show that it is possible to formulate a large-$N_c$ limit in which the
probabilistic interpretation of the nucleon EMT distributions holds also in
other frames. We use the bag model formulated in the large-$N_c$ limit as an
internally consistent quark model framework to visualize the information
content associated with the 2D EMT distributions. In order to provide more
intuition, we present results in the physical situation and in three different
limits: by considering a heavy-quark limit, a large system-size limit and a
constituent-quark limit. The visualizations of the distributions in these
extreme limits will help to interpret the results from experiments, lattice
QCD, and other models or effective theories.
