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Main Authors: Bertini, Nicolas R., Rodrigues, Davi C., Shapiro, Ilya L.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.11559
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author Bertini, Nicolas R.
Rodrigues, Davi C.
Shapiro, Ilya L.
author_facet Bertini, Nicolas R.
Rodrigues, Davi C.
Shapiro, Ilya L.
contents We explore the possibility of a consistent cosmology based on the gauge-fixing independent running of the gravitational and cosmological constants ($G$ and $Λ$) in the framework of effective quantum gravity. In particular, their running in this framework was found to satisfy $G \propto Λ^4$. In the cosmological setting, the covariance of the theory provides energy conservation relations, which are impossible to satisfy with the unique scale parameter. However, by introducing the second sub-dominant scale corresponding to the higher-loop corrections and higher-derivative terms, one can close the system of equations for the running of parameters and arrive at the consistent cosmological solutions. This approach yields a change in the cosmological expansion history that affects the ratio of the Hubble parameter today to the Hubble parameter at high redshift.
format Preprint
id arxiv_https___arxiv_org_abs_2401_11559
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Scale-dependent cosmology from effective quantum gravity in the invariant framework
Bertini, Nicolas R.
Rodrigues, Davi C.
Shapiro, Ilya L.
General Relativity and Quantum Cosmology
We explore the possibility of a consistent cosmology based on the gauge-fixing independent running of the gravitational and cosmological constants ($G$ and $Λ$) in the framework of effective quantum gravity. In particular, their running in this framework was found to satisfy $G \propto Λ^4$. In the cosmological setting, the covariance of the theory provides energy conservation relations, which are impossible to satisfy with the unique scale parameter. However, by introducing the second sub-dominant scale corresponding to the higher-loop corrections and higher-derivative terms, one can close the system of equations for the running of parameters and arrive at the consistent cosmological solutions. This approach yields a change in the cosmological expansion history that affects the ratio of the Hubble parameter today to the Hubble parameter at high redshift.
title Scale-dependent cosmology from effective quantum gravity in the invariant framework
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2401.11559