https://doi.org/10.1140/epjp/s13360-023-04850-0
Regular Article
Study of complexity and isotropization of extended decoupled charged solutions in
gravity
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defense Road, 54000, Lahore, Pakistan
Received:
14
November
2023
Accepted:
28
December
2023
Published online:
24
January
2024
This paper extends the domain of existing anisotropic solution of modified field equations to two different charged models via extended gravitational decoupling approach. For this purpose, we consider a static charged sphere whose interior is initially filled with the anisotropic fluid and extend it by engaging a new matter source in the gravitational action. The field equations encompassing the influence of both sources are established corresponding to a linear model of this modified theory. We then transform both radial and temporal metric components to divide the field equations into two under-determined systems in accordance with their parent sources. The unknowns in the first set are tackled by taking certain well-behaved metric potentials. Different constraints, on the other hand, on the additional sector are adopted to solve the second set that lead to two compact models. Further, we consider the radius and mass of a star
to analyze the impact of charge and modified gravity on the physical relevancy of resulting solutions. Finally, we conclude that only our first suggested model is stable for all parametric choices.
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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.