Abstract
Accelerating cosmological models are constructed in a modified gravity theory dubbed as f(R, T) gravity with the backdrop of an anisotropic Bianchi type-III universe. f(R, T) is a function of the Ricci scalar R and the trace T of the energy-momentum tensor, and it replaces the Ricci scalar in the Einstein-Hilbert action of General Relativity. The models are constructed for two different ways of modifying the Einstein-Hilbert action. Exact solutions of the field equations are obtained by a novel method of integration. We have explored the behaviour of the cosmic transit from an decelerated phase of expansion to an accelerated phase to get the dynamical features of the universe. Within the formalism of the present work, it is found that the modification of the Einstein–Hilbert action does not affect the scale factor. However the dynamics of the effective dark energy equation of state is significantly affected.
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