Nonlinear Matter Power Spectrum from relativistic N-body Simulations: Λ_{\rm s}CDM versus ΛCDM

2025/10/21 by Akarsu, Özgür, Di Valentino, Eleonora, Vyskočil, Jiří +3 · 2 citations
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2510.18741

Abstract

We present relativistic N-body simulations of a Λ_{\rm s}CDM - sign-switching cosmological constant (CC) - scenario under general relativity and compare its nonlinear matter power spectrum to ΛCDM at z = 15, 2, 1, 0, using best-fit parameters from Planck-only and a combined ''full'' dataset. During the AdS-like CC (Λ_{\rm s}<0) phase, prior to the transition redshift z_†, reduced Hubble friction dynamically enhances the growth of perturbations; after the switch, with dS-like CC (Λ_{\rm s}>0), the larger late-time expansion rate partly suppresses, but does not erase, the earlier amplification. Consequently, the ratio P_Λ_{\rm s}\rm CDM/P_{Λ\rm CDM} exhibits a pronounced, redshift-dependent shape feature: a crest peaking at ∼ 20-25% around k ≃ 1-3 h Mpc^-1 near the transition, which then migrates to larger physical scales and persists to z = 0 as a robust ∼ 15-20% uplift at k ≃ 0.6-1.0 h Mpc^-1. These wavenumbers correspond to group/poor-cluster environments and lie within the sensitivity range of weak lensing, galaxy-galaxy lensing, cluster counts, and tSZ power, providing a concrete, falsifiable target that cannot be mimicked by a scale-independent change in σ₈ or S₈. The timing (earlier for Planck-only, later for the full dataset) and the amplitude of the crest align with the ''cosmic noon'' epoch (z ≃ 1-2), offering a gravitational prior for the observed peak in the cosmic star-formation rate.

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Cited by

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• From negative to positive cosmological constant through decreasing temperature of the Universe: connection with string theory and spacetime foliation results

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