https://doi.org/10.1140/epjp/s13360-024-05385-8
Regular Article
Decoupled extended spherical solutions in Rastall gravity
1
Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan
2
School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, China
3
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
b adnan.malik@zjnu.edu.cn, adnanmalik_chheena@yahoo.com, adnan.malik@skt.umt.edu.pk
Received:
1
May
2024
Accepted:
20
June
2024
Published online:
4
July
2024
In this study, we develop the spherically static solutions for isotropic source using an extended gravitational decoupling method within the framework of Rastall theory. The Rastall field equations are decomposed into two arrays by implementing geometric deformations on radial and temporal metric functions. The first set represents the seed source, while the second is influenced by an additional gravitational source term (anisotropic source). We use the isotropic Krori-Barua solutions to determine the isotropic sector, while imposing two mimic constraints on the novel gravitational source to close the second system. We investigate the effects of the Rastall parameter and the decoupling parameter on the physical attributes of the developed anisotropic solutions. Furthermore, we assess the viability of the formulated solutions through the graphical analysis of energy conditions. The stability of constructed solutions is also examined using the Herrera’s cracking approach, causality condition, and adiabatic index, respectively. Our findings indicate that both solutions are physically acceptable, with all physical aspects behaving appropriately for the considered choice of parameters.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
