Impact of generic complexity factor on gravitationally decoupled solutions

Abstract

In this work, we address the analysis of gravitationally decoupled sources within the context of f(R) gravity. By doing so, complete geometric deformation (CGD) strategy is deployed which makes it easier to comfortably identify the exact solutions of anisotropic spherical complex system by executing the Kuchowicz-ansatz for the metric potential of the seed (parent) solution. The generalized notion of complexity is then applied to Class-one spacetime for bounded spheres at large curvature domains. This CGD strategy, along with the extent to which null effective anisotropy and null complexity result in an isotropic structure, is then used to deduce the deformed functions. To understand the full gravitational features of non-dynamic compact spheres and the implications of the f(R) matter profile, the Karmarkar constraint is followed. Two distinct aspects of the related relativistic consequences are thus provided, and their physical credibility is subsequently discussed. Additionally, role of the decoupling parameter in governing the energy transition across the usual and effective matter profile is exhibited. We also indicate how the presence of R+βR2 modifications in pressure anisotropy and density inhomogeneity within the enclosed spheres have a profound impact on determining its stability.