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In this article, we have investigated the behaviors of magnetized strange quark matter distributions for Bianchi I and V universes in reconstructed f (R, T ) = α1R+α2f3(T ) gravity (here α1 and α2 are constants; f3(T ) is an arbitrary function of T ) . To get solutions of the field equations we have used a deceleration parameter and the equation of state for strange quark matter. The new represented f(R, T ) model includes two models of Harko et al. and transforms to general relativity. When t → ∞ , we get the dark energy model (p = −ρ) in reconstructed f (R, T ) = α1R + α2f3(T ) gravity. However, we obtain zero magnetic field in all f(R, T ) gravitation models.

Magnetized strange quark matter in reconstructed $f(R,T)$ gravity for Bianchi I and V universes with cosmological constant