  The gravitational form factors are related to the matrix elements of the
energy-momentum tensor $T^{\mu\nu}$. Using the light front wave functions of
the scalar quark-diquark model for nucleon predicted by the soft-wall AdS/QCD,
we calculate the flavor dependent $A(Q^2)$, $B(Q^2)$ and $\bar{C}(Q^2)$ form
factors. We also present all the matrix element of the energy-momentum tensor
in a transversely polarized state. Further, we evaluate the matrix element of
Pauli-Lubanski operator in this model and show that the intrinsic spin sum rule
involves the form factor $\bar{C}$. The longitudinal momentum densities in the
transverse impact parameter space are also discussed for both unpolarized and
transversely polarized nucleons.
