Constraining f(R,T) Gravity From The Dark Energy Density Parameter ${\Omega }_{\Lambda }$

Abstract

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

To appear in Gravitation and Cosmology

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Cited by in corpus (6)

• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Gravitational wave echoes from compact stars in $f(\mathcal{R},T)$ gravity
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Inflation in f(R,T) gravity with Double-Well potential