$\Lambda_{\rm s}$CDM cosmology from a type-II minimally modified gravity

CDM, a promising model for alleviating cosmological tensions, into a theoretical framework by endowing it with a specific Lagrangian from the VCDM model, a type-II minimally modified gravity. In this theory, we demonstrate that an auxiliary scalar field with a linear potential induces an effective cosmological constant, enabling the realization of an abrupt mirror AdS-dS transition in the late universe through a piecewise linear potential. To eliminate the sudden singularity in this setup and ensure stable transitions, we smooth out this potential. Realized within the VCDM theory, the

\Lambda_{\rm s}

CDM model facilitates two types of rapid smooth mirror AdS-dS transitions: (i) the agitated transition, associated with a smooth jump in the potential, where

\Lambda_{\rm s}

, and consequently

H

, exhibits a bump around the transition's midpoint; and (ii) the quiescent transition, associated with a smooth change in the slope of the potential, where

\Lambda_{\rm s}

transitions gracefully. These transitions are likely to leave distinct imprints on the background and perturbation dynamics, potentially allowing the observational data to distinguish between them. This novel theoretical framework propels

\Lambda_{\rm s}

CDM into a fully predictive model capable of exploring the evolution of the Universe including the late-time AdS-dS transition epoch, and extends the applicability of the model. We believe further research is crucial in establishing

\Lambda_{\rm s}

CDM as a leading candidate or guide for a new concordance cosmological model.

Note:

16 pages (including appendices), 4 figures, and no tables

potential: linear
gravitation: model
field theory: scalar
potential: slope
dark matter
mirror
cosmological model
tension
perturbation
cosmological constant

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Figures(8)

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Λs\Lambda_{\rm s}Λs​CDM cosmology from a type-II minimally modified gravity

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$\Lambda_{\rm s}$ CDM cosmology from a type-II minimally modified gravity