FLRW Cosmology with Hybrid Scale Factor in f(R, Lm) Gravity

Abstract

In this paper, we aim to describe the cosmic late-time acceleration of the Universe in f(R,Lm) gravity framework proposed by Harko (2010) with the help of an equation of state for strange quark matter. To achieve this, we adopt a specific form of f(R,Lm) gravity as f(R,Lm) =R/2}+ Lnm, where n is arbitrary constants. Here we utilize a hybrid scale factor to resolve the modified field equations in the context of f(R,Lm) gravity for an isotropic and homogeneous Friedmann–Lemaître–Robertson–Walker (FLRW) metric in presence of strange quark matter (SQM). Also, we analyze the dynamics of energy density, pressure and the state finder parameters and explained the distinctions between our model and the current dark energy models in the presence of SQM. We observed a transition from an accelerating to a decelerating phase in the Universe, followed by a return to an accelerating phase at late times. Also, we analyzed the state finder diagnostic as well equation of state parameter and found that the model exhibited quintessence-like behavior. The conclusion drawn from our investigation was that the proposed f(R, Lm) cosmological model aligns well with recent observational studies and effectively describes the cosmic acceleration observed during late times.

Anisotropic behavior of universe in $$f(R, L_m)$$ gravity with varying deceleration parameter

“…This reaffirms the positivity of the cosmic jerk parameter throughout the cosmic timeline and its convergence toward 1 during late epochs, consistent with the CDM model and corroborating findings from [71,72]. In the current framework, we have undertaken an evaluation of the statefinder parameters, and our analysis has produced outcomes suggesting that {r, s} = {1, 0} which serves as a compelling indication of CDM model, closely aligns with recent observations [73][74][75][76][77]. Also, we have observed the CDM model places quintessence to the right of the model, and chaplygin gas to the left.…”