Complexity-free charged anisotropic Finch-Skea model satisfying Karmarkar condition

Abstract

Abstract By making use of the extended geometric deformation (EGD) approach, this work explores the charged anisotropic Finch-Skea solution satisfying the Karmarkar condition. The implementation of EGD-approach splits the original gravitational source into perfect and anisotropic fluid configurations. We employ Herrera’s complexity factor Herrera L (2018 Phys. Rev. D 97 044010) formalism to develop theoretical models characterizing the role of complexity in the Finch-Skea solution. The use of the Karmarkar condition enables us to derive a solution for the isotropic, charged spherical configuration by defining a Finch-Skea metric that evaluates the deformation functions. The Finch-Skea ansatz serves as a valuable seed model for solving the seed-gravitational source, however, the zero-complexity constraint is employed to solve the remaining set of anisotropic equations. We match the interior metric manifold attributed to the spherically symmetric ansatz with the classical Reissner-Nordström metric. We examined the influence of gravitational decoupling on the anisotropic Finch-Skea solution. We also analyzed the physical viability of the presented results using graphical representations for the thermodynamic variables.