Excess of high-$z$ galaxies as a test for bumpy power spectrum of density perturbations

Abstract

Modified matter power spectra with approximately Gaussian bump on sub-Mpc scales can be a result of a complex inflation. We consider five spectra with different Gaussian amplitudes $A$ and locations $k_0$ and run N-body simulations in a cube $(5Mpc/h{)}^3$ at $z>8$ to reveal the halo mass functions and their evolution with redshift. We have found that the Sheth-Tormen formula provides a good approximation to a such kind of halo mass functions. In the considered models the dark matter halo formation starts much more earlier than in $\Lambda$CDM, which in turn can result in an earlier star formation and a nuclear activity in galaxies and can be detected and tested by, e.g., JWST. At $z=0$ the halo mass functions are hardly distinguishable from the standard $\Lambda$CDM, therefore the models with the bumpy spectra can be identified in observations by their excess in number of bright sources at high redshift only.

9 pages, 5 figures, submitted to MNRAS

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• Quantifying the tension between cosmological models and JWST red candidate massive galaxies
• The Effects of Linear Matter Power Spectrum Enhancement on Dark Matter Substructure
• Inner structure of dark matter halos at high $z$ in cosmological models with non-power-law primordial spectra
• Signatures of Very Early Dark Energy in the Matter Power Spectrum
• Cosmological Zoom-In Simulations of Milky Way Host Mass Dark Matter Halos with a Blue-Tilted Primordial Power Spectrum
• Properties of Central Regions of the Dark Matter Halos in the Model with a Bump in the Power Spectrum of Density Perturbations
• Cascade Relaxation of the Gravitating Vacuum as a Generator of the Evolving Universe
• Absorption in the 21 cm Hydrogen Line at $z>10$ as a Sensitive Tool for the Construction of a Cosmological Model on Small Scales
• Probing power spectrum enhancement at small scales with the SKA
• Einstein, tea leaves, meandering rivers, and the origin of supermassive black holes in ekpyrotic universe