The Largest Void and Cluster in Non-Standard Cosmology

Abstract: We employ observational data about the largest cosmic void and most massive galaxy cluster known to date, the 'Cold Spot' void and the 'El Gordo' cluster, in order to constrain the parameter |fR0| from the f(R) gravity formulation by Hu and Sawicki and the matter power spectrum normalization at present time, σ8. We obtain the marginalized posterior distribution for these two parameters through a Markov Chain Monte Carlo analysis, where the likelihood function is modeled through extreme value statistics. The prior distribution for the additional cosmological parameters included in the computations (Ωdmh2, Ωbh2, h and ns) is matched to recent constraints. By combining the likelihood functions for both voids and clusters, we obtain a mean value log|fR0| = -5.1 ± 1.6, which is compatible with General Relativity (log|fR0| ≤-8) at 95% confidence level, but suggests a preference for a non-negligible modified gravity correction.