https://doi.org/10.1140/epjc/s10052-023-11507-w
Regular Article - Theoretical Physics
Anisotropic compact stars in complexity formalism and isotropic stars made of anisotropic fluid under minimal geometric deformation (MGD) context in 
gravity-theory
1
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
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
4
Department of Mathematics, Durban University of Technology, 4000, Durban, South Africa
5
Department of Physics, Zhejiang Normal University, 321004, Jinhua, People’s Republic of China
6
Department of Physics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
7
Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, 61922, Bisha, Saudi Arabia
8
Department of Physics, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
Received:
26
March
2023
Accepted:
10
April
2023
Published online:
29
April
2023
In this paper, we present an anisotropic solution for static and spherically symmetric self-gravitating systems by demanding the vanishing of the complexity factor (Herrera in Phys Rev D 97:044010, 2018) along with the isotropization technique through the gravitational decoupling (GD) approach (Ovalle in Phys Rev D 95:104019, 2017) in -gravity theory. We begin by implementing gravitational decoupling via MGD scheme as the generating mechanism to obtain anisotropic solutions describing physically realizable static, spherical self-gravitating systems. We adopt the Krori–Barua ansatz and present two new classes of stellar solutions: the minimally deformed anisotropic solution with a vanishing complexity factor and the isotropic solution via gravitational decoupling. We demonstrate that both classes of solutions obey conditions of regularity, causality and stability. An interesting feature is the switch in trends of some of the thermodynamical quantities such as effective density, radial and transverse stresses at some finite radius, 
, depending on different values of the decoupling constant 
. We show that gravitational decoupling via the vanishing complexity factor enhances the stability of the stellar fluid surrounding the core’s central areas. By analyzing the effect of the decoupling constant on the 
plots, (where 
denotes the complexity factor) derived from both solutions, we find that a small contribution from the complexity factor leads to the prediction of lower maximum mass of a self-gravitating compact star via gravitational decoupling in -gravity compared to their pure -gravity counterparts. Furthermore, we have also determined the impact of decoupling constant and surface density on predicted radii via 
for some known compact objects.
© The Author(s) 2023
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