  General Relativity with nonvanishing torsion has been investigated in the
first order formalism of Poincare gauge field theory. In the presence of
torsion, either side of the Einstein equation has the nonvanishing covariant
divergence. This fact turned out to be self-consistent in the framework under
consideration. By using Noether's procedure with the definition of the Lie
derivative where the general coordinate transformation and the local Lorentz
rotation are combined, the revised covariant divergence of the energy momentum
is consistently obtained. Subsequently we have definitely derived the spin
correction to the energy momentum tensor for the Dirac field and the
Rarita-Schwinger field in the Einstein equation. We conjecture that the
accelerated expansion of the universe possibly arises due to the spin
correction in our framework.
