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On Useful Conformal Tranformations In General Relativity

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arxiv gr-qc/0412113 v2 pith:DNFXXTAM submitted 2004-12-22 gr-qc

D.F. Carneiro , E.A. Freiras , B. Gonçalves , A.G. de Lima , I.L. Shapiro (Universidade Federal de Juiz de Fora , MG , Brazil) This is my paper · ORCID
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keywords conformaltransformationsusefulapplicationsappliedaspectscosmologicalcosmology
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abstract

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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  1. On the Renormalization in Conformal Quantum Gravity

    hep-th 2026-08 conditional novelty 6.0 of 10

    A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.

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