This article deals with the new systematic approach that is gravitational decoupling via minimal geometric deformation (MGD) approach. Here, we present the anisotropic spherical solution in f (R, T) gravity by adopting MGD approach. For this, we consider the Tolman V isotropic solution and extend it to anisotropic domain. For comprehensive results in f (R, T) theory, we assume viable model which is a linear combination of generalized Starobinsky f (R) model (Starobinsky 1980 Phys. Lett. B 91, 99) and λT (where T is the trace of T ij ). We are producing two different versions of anisotropic solution adopting two different mimic constraints. This technique helps us to find the new groups of anisotropic solutions through a single isotropic solution. We analyze the physical behavior of the anisotropic solutions through energy conditions and causality conditions. The graphical representation shows that both solutions satisfy all the energy conditions for different ranges of parameters. We conclude that both obtained models present the realistic behavior satisfying the all physical constraints and stability criterion.

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This paper aims to discuss the gravitationally induced particle creation in the framework of [Formula: see text] theory, which involves the non-minimal coupling (NMC) between Gauss–Bonnet (GB) invariant, [Formula: see text] and trace of the energy–momentum tensor (EMT), [Formula: see text]. Here, NMC between matter and gravitational sector results in non-divergence of EMT. We discuss the generalized conservation equation for the irreversible process of matter creation with the help of generalized second law of thermodynamics (GSLT). Particle creation rate, creation pressure, entropy production rate and temperature are obtained for this theory using flat FRW geometry. We work on three particular [Formula: see text] models and study cosmological implications of open irreversible thermodynamics. Furthermore, the impact of NMC on cosmological evolution and entropy production is briefly discussed.