Transverse, traceless, plane fronted, monochromatic plane waves in conformal gravity have zero-energy

Plane fronted, monochromatic gravitational waves on a Minkowski background are considered in conformal gravity. Assuming the conformal gauge condition Det [gµ?] = - 1 and the conformal generalization of the harmonic gauge condition |g|-1/4?t(|g1/4|gst) = 0 implies that the waves are both transverse and traceless. We show, without any perturbative approximation that the metric is reducible to the metric of Minkowski space-time via additional coordinate transformations that preserve the gauge conditions. This implies that the waves are simply coordinate/conformal artifacts. As a consequence, they carry no energy.