A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.
On Useful Conformal Tranformations In General Relativity
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Local conformal transformations are known as a useful tool in various applications of the gravitational theory, especially in cosmology. We describe some new aspects of these transformations, in particular using them for derivation of Einstein equations for the cosmological and Schwarzschild metrics. Furthermore, the conformal transformation is applied for the dimensional reduction of the Gauss-Bonnet topological invariant in $d=4$ to the spaces of lower dimensions.
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On the Renormalization in Conformal Quantum Gravity
A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.