Constraining f(R,T) Gravity From The Dark Energy Density Parameter ΩΛΩ_Λ

preprint2020arXivOpen access

Abstract

f(R,T)f(R,T) gravity is a widely used extended theory of gravity introduced in \cite{9} which is a straightforward generalization of f(R)f(R) gravity. The action in this extended theory of gravity incorporates well motivated functional forms of the Ricci scalar RR and trace of energy momentum tensor TT. The present manuscript aims at constraining the most widely used f(R,T)f(R,T) gravity model of the form f(R+2λT)f(R+2λT) to understand its coherency and applicability in cosmology. We communicate here a novel method to find an lower bound on the model parameter λ≳−1.9×10−8λ\gtrsim -1.9 \times 10^{-8} through the equation relating the cosmological constant (ΛΛ) and the critical density of the universe (ρcrρ_{cr}).

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