Running gravitational constant induced dark energy as a solution to $σ_8$ tension

Fuente: arXiv
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Auteurs principaux: Zhumabek, Tilek, Mukhamediya, Azamat, Chakrabarty, Hrishikesh, Malafarina, Daniele
Format: Preprint
Publié: 2024
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author Zhumabek, Tilek
Mukhamediya, Azamat
Chakrabarty, Hrishikesh
Malafarina, Daniele
author_facet Zhumabek, Tilek
Mukhamediya, Azamat
Chakrabarty, Hrishikesh
Malafarina, Daniele
contents We consider a modified gravity model with a running gravitational constant coupled to a varying dark energy fluid and test its imprint on the growth of structure in the universe. Using Redshift Space Distortion (RSD) measurement results, we show a tension at the $3 σ$ level between the best fit $Λ$CDM and the corresponding parameters obtained from the Planck data. Unlike many modified gravity-based solutions that overlook scale dependence and model-specific background evolution, we study this problem in the broadest possible context by incorporating both factors into our investigation. We performed a full perturbation analysis to demonstrate a scale dependence in the growth equation. Fixing the scale to $k = 0.1 h$ Mpc$^{-1}$ and introducing a phenomenological functional form for the varying Newton coupling $G$ with only one free parameter, we conduct a likelihood analysis of the RSD selected data. The analysis reveals that the model can bring the tension level within $1 σ$ while maintaining the deviation of $G$ from Newton's gravitational constant at the fifth order.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05965
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Running gravitational constant induced dark energy as a solution to $σ_8$ tension
Zhumabek, Tilek
Mukhamediya, Azamat
Chakrabarty, Hrishikesh
Malafarina, Daniele
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
We consider a modified gravity model with a running gravitational constant coupled to a varying dark energy fluid and test its imprint on the growth of structure in the universe. Using Redshift Space Distortion (RSD) measurement results, we show a tension at the $3 σ$ level between the best fit $Λ$CDM and the corresponding parameters obtained from the Planck data. Unlike many modified gravity-based solutions that overlook scale dependence and model-specific background evolution, we study this problem in the broadest possible context by incorporating both factors into our investigation. We performed a full perturbation analysis to demonstrate a scale dependence in the growth equation. Fixing the scale to $k = 0.1 h$ Mpc$^{-1}$ and introducing a phenomenological functional form for the varying Newton coupling $G$ with only one free parameter, we conduct a likelihood analysis of the RSD selected data. The analysis reveals that the model can bring the tension level within $1 σ$ while maintaining the deviation of $G$ from Newton's gravitational constant at the fifth order.
title Running gravitational constant induced dark energy as a solution to $σ_8$ tension
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.05965