Papers › Running gravitational constant induced dark energy as a solution to σ₈ tension
Running gravitational constant induced dark energy as a solution to σ₈ tension
Tilek Zhumabek, Azamat Mukhamediya, Hrishikesh Chakrabarty, Daniele Malafarina
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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 ΛCDM 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.
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