Regular Article - Theoretical Physics
A simple protocol for anisotropic generalization of Finch–Skea model by gravitational decoupling satisfying vanishing complexity factor condition
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Sultanate of Oman
2 Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
3 Department of Physics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
4 Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, 61922, Bisha, Saudi Arabia
5 Laboratory of High Energy Physics and Condensed Matter, Department of Physics, Faculty of Sciences Aïn Chock, Hassan II University of Casablanca, B.P. 5366, 20100, Maarif, Casablanca, Morocco
6 Department of Physics, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
Accepted: 10 December 2022
Published online: 27 December 2022
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.
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