PoS - Proceedings of Science
Volume 436 - Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2022) - Workshop on the Standard Model and Beyond
4D Einstein Gauss-Bonnet Gravity without a Dilaton
C. Coriano*, M. Creti, S. Lionetti, M.M. Maglio and R. Tommasi
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Published on: November 08, 2023
A nonlocal version of Einstein-Gauss Bonnet (EGB) gravity can be generated by a procedure that follows closely the steps of the derivation of the conformal anomaly effective action. The action is obtained using a Weyl decomposition of the metric, with the conformal factor removed by a finite renormalization of the topological term. We outline the mains steps in the derivation of this action, stressing on the analogies and differences respect to the anomaly action and to the ordinary $4d$ EGB theory formulated as a special version of dilaton gravity. These formulations allow a systematic investigation of the nonlocal $R\Box^{-1}$ corrections to General Relativity. In the case of conformal anomaly action they are motivated by the generation of a conformal backreaction, due to the breaking of conformal symmetry in the early universe. }

DOI: https://doi.org/10.22323/1.436.0099
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