https://doi.org/10.1140/epjp/s13360-024-05609-x
Regular Article
Anisotropic spherical solutions in Rastall gravity by gravitational decoupling
1
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, 54000, Lahore, Pakistan
2
Department of Mathematics, The University of The Gambia, P.O. Box 3530, Serrekunda, The Gambia
Received:
14
January
2024
Accepted:
29
August
2024
Published online:
13
September
2024
In this paper, we extend the Finch–Skea isotropic ansatz representing a self-gravitating interior to two anisotropic spherical solutions within the context of Rastall gravity. For this purpose, we use a newly developed technique, named as gravitational decoupling approach through the minimal geometric deformation. The junction conditions that provide the governing rules for the smooth matching of the interior and exterior geometries at the hypersurface are formulated with the outer geometry depicted by the Schwarzschild spacetime. We check the physical viability of both solutions through energy conditions for two fixed values of the Rastall parameter. The behavior of the equation of state parameters, surface redshift and compactness function are also investigated. Finally, we study the stability of the resulting solutions through Herrera cracking approach and the causality condition. It is concluded that the chosen parametric values provide stable structure only for the solution corresponding to the pressure-like constraint.
Copyright comment 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.
© 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.
