Abstract

In the present article, we study the physical and geometric scenario of the inflection of the Friedmann–Lemaître–Robertson–Walker (FLRW) and an axially symmetric perfect fluid Universe with thick domain walls in f(R, T) theory of gravitation (Harko et al. Phys. Rev. D, 84, 024020 (2011)), where R and T represent Ricci scalar and trace of the stress–energy–momentum tensor, respectively, in the scenario of decelerating–accelerating transition phases. To ascertain the exact solution of the corresponding field equations, we use the concept of a time-subordinate deceleration parameter, which brings forth the scale factor [Formula: see text], where n and α are positive parameters. For n ∈ (0.27, 1], a class of accelerating phase is ensured while for n > 1, the Universe attains a phase transition from positive (decelerating) to negative (accelerating), which is uniform with recent observations. The models have been tested for physical feasibility by using stability. Physical and geometric behavior of the models are also explored.

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