https://doi.org/10.1140/epjc/s10052-025-15255-x
Regular Article - Theoretical Physics
Theoretical models of radially deformed relativistic stellar structures within the context of a realistic equation of state
1
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, 54000, Lahore, Pakistan
2
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
3
Center for Scientific Research and Entrepreneurship, Northern Border University, 73213, Arar, Saudi Arabia
4
Department of Physics, College of Sciences, University of Bisha, 61922, Bisha, Saudi Arabia
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b
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Received:
11
November
2025
Accepted:
20
December
2025
Published online:
23
January
2026
Abstract
This investigation develops two exact anisotropic solutions determined by the Chaplygin equation of state within the context of Einstein’s gravity theory using the minimal geometric deformation. In order to accomplish this, we start with the anisotropic fluid acting as the seed source inside a static spherical interior. The gravitational interaction between the additional matter source and the seed (parent) fluid is then included in a Lagrangian that describes a new source. We compute the field equations for the full matter configuration and then transform the radial component to produce two independent systems of equations. Each set is imposed by different constraints that allow them to solve separately and leading to novel solutions. By matching the interior and exterior geometries using the suitable junction conditions, the constants that appear in the interior solutions are determined. The observed mass and radius of the compact star candidates 
and 
are then used to graphically examine the resulting models. We show that our solutions fulfill all the physical feasibility requirements for the chosen parameter values, indicating the workability of the gravitational decoupling approach in the current scenario.
© The Author(s) 2026
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Funded by SCOAP3.
