  We have studied the spin dependent force and the associated momentum space
Berry curvature in an accelerating system. The results are derived by taking
into consideration the non relativistic limit of a generally covariant Dirac
equation under the presence of electromagnetic field where the methodology of
Foldy-Wouthuysen transformation is applied to achieve the non relativistic
limit. Spin currents appear due to the combined action of the external electric
field, crystal field and the induced inertial electric field via the total
effective spin-orbit interaction. In an accelerating frame, the crucial role of
momentum space Berry curvature in the spin dynamics has also been addressed
from the perspective of spin Hall conductivity. For time dependent
acceleration, the expression for the spin polarization has been derived.
