  Loop quantum gravity corrections, in the presence of inhomogeneities, can
lead to a deformed constraint algebra. Such a deformation implies that the
effective theory is no longer generally covariant. As a consequence, the
geometrical concepts used in the classical theory lose their meaning. In the
present paper we propose a method, based on canonical transformation on the
phase space of the spherically symmetric effective theory, to systematically
recover the classical constraint algebra in the presence of the inverse triad
corrections as well as in the presence of the holonomy corrections. We show, by
way of explicit example, that this also leads to the recovery of general
covariance of the theory in the presence of inverse triad corrections, implying
that one can once again use the geometrical concepts to analyze the solutions
in the presence of these quantum gravity corrections.
