A simple protocol for anisotropic generalization of Finch–Skea model by gravitational decoupling satisfying vanishing complexity factor condition

Abstract

Abstract A physically reasonable anisotropic stellar model is constructed with the help of the gravitational decoupling via complete geometric deformation (CGD) technique under the condition of vanishing complexity factor [Contreras and Stuchlik in Eur Phys J C 82:706 2022; Herrera, in Phys Rev D 97:044010, 2018]. The source splits into a perfect fluid and an anisotropic distribution. The Finch Skea metric proves a useful seed solution to solve the Einstein sector while the condition of vanishing complexity is invoked to solve the remaining anisotropic system of equations. A comprehensive battery of tests for physical significance is imposed on the model. Through a careful choice of parameter space, it is demonstrated that the model is regular, stable, and contains a surface of vanishing pressure establishing its boundary. Matching with the exterior metric is also achieved. Finally, the energy flows between the two sectors of the source fluid are studied graphically.