  When two fragments are created in a fission decay, any torque due to nuclear
and Coulomb interaction can change the fragment's angular momentum. This
article explores the character and magnitude of the angular momentum as a
function of the initial conditions around the scission point using the
time-dependent Hartree-Fock theory. To understand the torque acting on the
fragments, the Frozen Hartree-Fock method is also used to determine the
collective potential at scission. Two $^{240}$Pu fission channel (
$^{132}$Sn+$^{108}$Ru and $^{144}$Ba+$^{96}$Sr ) are studied. These two
channels cover different shapes (spherical, quadrupole, and octupole
deformation) of the fragments. It is found that the angular momentum generated
by the Coulomb interaction after fission is mainly collective, while this is
not the case for the angular momentum generated at scission. The competition
between rotational modes (bending, wriggling, and twisting) is discussed and
shows that the angular momentum is generated mainly perpendicular to the
fission axis.
