A simple protocol for anisotropic generalization of Finch–Skea model by gravitational decoupling satisfying vanishing complexity factor condition
S. K. Maurya, Abdelghani Errehymy, M. K. Jasim, Sudan Hansraj, Nuha Al‐Harbi, Abdel‐Haleem Abdel‐Aty
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.