Minimally deformed anisotropic version of Tolman–Finch–Skea stellar model in Einstein–Gauss–Bonnet gravity

Abstract In this article, a well-known anisotropic solution, the Tolman–Finch–Skea (TFS) solution, is studied using the gravitational decoupling approach within the framework of 4D Einstein–Gauss–Bonnet (EGB) gravity. The radial metric potential is modified linearly through the minimal geometric deformation approach, while the temporal component of the metric remains unchanged. The system of EGB field equations is decomposed into two distinct sets of field equations: one corresponding to the standard energy-momentum tensor and the other associated with an external gravitational source. The first system is solved using the aforementioned known solution, while the second is closed by imposing the mimic constraint on pressure. Moreover, the junction conditions at the inner and outer surfaces of the stellar object are examined, considering the Boulware–Deser 4D space-time as the external geometry. The physical properties of the stellar model are analyzed using parameters such as energy conditions, causality conditions, compactness, and redshift.