Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity

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. [1]. 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 ΛCDM 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.

Bianchi I metric solutions with nonminimally coupled Einstein-Maxwell gravity theory

“…In general one can seek in the literature to obtain numerous gravity models where the anisotropy property of the universe is investigated to reach to great achievements (see for instance some of recent works as [7], [8], [9], [10], [11], [12]. [13], [14], [15], [16], [17], [18] , [19], [20], [21] and references therein). Today, We understood this inevitable fact where the magnetic fields are present throughout the Universe and play an important role in a multitude of astrophysical situations.…”