Abstract

Recently, a new strategy to the reconstruction of f(R)-gravity models based on the Raychaudhuri equation has been suggested by Choudhury et al. (MNRAS 485:5693, 2019). In this paper, utilizing this method, the reconstruction of anisotropic Einstein–Maxwell equation in the 1+3 covariant formalism of f(R)-gravity is investigated in four modes: (i) Reconstruction from a negative constant deceleration parameter refereeing to an ever-accelerating universe; (ii) Reconstruction from a constant jerk parameter j=1 which recovers celebrated varLambda text {CDM} mode of evolution; (iii) Reconstruction from a variable jerk parameter j=Q(t); and (iv) Reconstruction from a slowly varying jerk parameter. Furthermore, two suggestions for enhancing the method are proposed.

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