Ricci cosmology in light of astronomical data
Roberto Caroli, Mariusz P. Dabrowski, Vincenzo Salzano

TL;DR
Ricci Cosmology introduces a new framework where spacetime curvature influences cosmic fluid dynamics, and this study tests its viability against observational data, finding compatibility with standard cosmology.
Contribution
The paper proposes a novel Ricci Cosmology model incorporating second order transport coefficients and tests its consistency with cosmological observations.
Findings
Model is compatible with $\Lambda$CDM cosmology.
Derived bounds on second order transport coefficients.
Pressure deviations affect matter redshift scaling.
Abstract
Recently, a new cosmological framework, dubbed Ricci Cosmology, has been proposed. Such a framework has emerged from the study of relativistic dynamics of fluids out of equilibrium in a curved background and is characterised by the presence of deviations from the equilibrium pressure in the energy-momentum tensor which are due to linear terms in the Ricci scalar and the Ricci tensor. The coefficients in front of such terms are called the second order transport coefficients and they parametrise the fluid response to the pressure terms arising from the spacetime curvature. Under the preliminary assumption that the second order transport coefficients are constant, we find the simplest solution of Ricci cosmology in which the presence of pressure terms causes a departure from the perfect fluid redshift scaling for matter components filling the Universe. In order to test the viability of…
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