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Decoupled extended spherical solutions in Rastall gravity

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Abstract

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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Data Availability Statement

The authors declare that the data supporting the findings of this study are available within the article.

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Acknowledgements

Adnan Malik acknowledges the Grant No. YS304023912 to support his Postdoctoral Fellowship at Zhejiang Normal University, China.

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Authors and Affiliations

  1. Department of Mathematics, University of Management and Technology, Sialkot Campus, Lahore, Pakistan

    Mariyah Aslam

  2. School of Mathematical Sciences, Zhejiang Normal University, **hua, Zhejiang, China

    Adnan Malik

  3. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

    Adnan Malik

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  1. Mariyah Aslam
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Aslam, M., Malik, A. Decoupled extended spherical solutions in Rastall gravity. Eur. Phys. J. Plus 139, 580 (2024). https://doi.org/10.1140/epjp/s13360-024-05385-8

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