Constraints from observational data for a running cosmological constant and warm dark matter with curvature
Jhonny A. Agudelo Ruiz, J\'ulio C. Fabris, Alan M. Velasquez-Toribio, and Ilya L. Shapiro

TL;DR
This paper investigates how spatial curvature influences large-scale structure formation in cosmological models featuring a running vacuum energy and warm dark matter, analyzing perturbation evolution and power spectrum modifications.
Contribution
It provides a quantitative analysis of curvature effects on matter perturbations within a novel cosmological model with dynamic vacuum energy and warm dark matter.
Findings
Curvature modifies the evolution of matter perturbations.
The shape of the power spectrum is affected by non-zero curvature.
Results highlight the importance of curvature in structure formation models.
Abstract
It is known than the inclusion of spatial curvature can modify the evolution of matter perturbations and affect the Large Scale Structure (LSS) formation. We quantify the effects of the non-zero space curvature in terms of LSS formation for a cosmological model with a running vacuum energy density and a warm dark matter component. The evolution of density perturbations and the modified shape of its power spectrum are constructed and analyzed.
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