Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group

Abstract

A convincing explanation for the nature of the dark energy and dark matter is still missing. In recent works a RG-improved swiss-cheese cosmology with an evolving cosmological constant dependent on the \sch radius has been proven to be a promising model to explain the observed cosmic acceleration. In this work we extend this model to consider the combined scaling of the Newton constant $G$ and the cosmological constant $\Lambda$ according to the IR-fixed point hypothesis. We shall show that our model easily generates the observed recent passage from deceleration to acceleration without need of extra energy scales, exotic fields or fine tuning. In order to check the generality of the concept, two different scaling relations have been analysed and we proved that both are in very good agreement with $\Lambda$CDM cosmology. We also show that our model satisfies the observational local constraints on $\dot{G}/G$.

arXiv comment15 pages, 3 figures

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• Observational Constraints on Dark Energy Models with $\Lambda$ as an Equilibrium Point
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• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Primordial black holes as cosmic expansion accelerators
• Exploring Alternative Cosmologies with the LSST: Simulated Forecasts and Current Observational Constraints
• Renormalization Group-Improved Gravitational Action: A Lagrangian Framework
• Phenomenological footprints of Lambda varying gravity theories inspired from quantum gravity models in the multi-messenger era
• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• Asymptotic Safety and the Cosmic Coincidence Problem
• Renormalization group approaches to Quantum Gravity and Tensions in Modern Cosmology