  In this work, a method for solving the constraints of general relativity is
presented, where first all geometrical objects are written in terms of a set of
orthonormal triads and a flat Weitzenbock connection, which depends on the
triads and on a flat spin connection. It is shown that the hamiltonian
constraint can be reduced from a second order equation to a first order one.
Even though the order of the equation is reduced, we do not get any extra
equations to solve by this procedure. A conformal decomposition is also
presented.
