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The studies of the generalized Einstein Lagrangian densities without torsionare extended to those of the more generalized Lagrangian densities withtorsion. The properties of the more generalized Lagrangian densities arestudied systematically and thoroughly. The dynamical laws of a gravitationalsystem such as the gravitational field equations, the conservation laws of theenergy-momentum tensor densities, the conservation laws of the spin densitiesand the equations of motion for test particle are all derived from theLagrangian densities. The differences between the more generalized Lagrangiandensities and the generalized Einstein Lagrangian densities are discussed.

The Dynamical Properties Derived from the More Generalized Lagrangian Density for A Gravitational System