The space of states of the gravitational field in the Hamiltonian approach to general theory of relativity

For the general theory of relativity with asymptotically flat metric, we construct a space of states Г which satisfy the following requirements: a) solutions of the constraint equations exist in Г; b) Г is invariant with respect to transformations of the Poincare group; c) the symplectic form in Г is finite. Using the symplectic form, we construct the generators of the equations of motion (Poincare transformations).