Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation

Abstract

In this work, we investigate for an analytical solution under modified gravity theory, specifically the $f(R,T)$ gravity for two different eras, i.e., matter and dark energy dominated accelerating universe from completely geometrical and mathematical point of view with the help of the Raychaudhuri equation. To construct $f(R,T)$ gravity model, we consider the functional form of $f(R,T)$ as the sum of two independent functions of the Ricci scalar $R$ and the trace of the energy-momentum tensor $T$, respectively. Under the consideration of this type of power law expansion of the Universe we have studied the viability, stability and all the energy conditions. We note that the strong energy condition is not satisfied in our model, which is obvious for the present scenario of the Universe.

15 pages, 27 figures

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Cited by in corpus (8)

• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
• From Geometry to Observation: Gravitational Waves and the Raychaudhuri Equation