  Newman and Rovelli have used singular Hamilton-Jacobi transformations to
reduce the phase space of general relativity in terms of the Ashtekar
variables. Their solution of the gauge constraint cannot be inverted and indeed
has no Minkowski space limit. Nonetheless, we exhibit an explicit
Hamilton-Jacobi solution of all the linearized constraints. The result does not
encourage an iterative solution, but it does indicate the origin of the
singularity of the Newman-Rovelli result.
