https://doi.org/10.1140/epjp/s13360-024-05456-w
Regular Article
Rastall teleparallel gravity: gravitational decoupling with MGD approach
1
Centre for High Energy Physics, University of the Punjab, 54590, Lahore, Pakistan
2
Department of Mathematics, Shanghai University and Newtouch Center for Mathematics of Shanghai University, 200444, Shanghai, People’s Republic of China
3
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa, Sultanate of Oman
4
College of Engineering, Chemical Engineering Department, King Saud University Riyadh, Riyadh, Saudi Arabia
Received:
18
May
2024
Accepted:
13
July
2024
Published online:
6
August
2024
This article presents a static anisotropic solution for compact stellar objects within a self-gravitating system, utilizing minimal geometric deformation techniques within the framework of embedding class one spacetime in Modified Rastall Teleparallel Gravity. By leveraging the insights from previous studies, we investigate the behavior of metric functions, energy density, pressures, and forces, affirming non-singularity and equilibrium. Additionally, we scrutinize static stability criteria, modified TOV equation, and Herrera’s method, confirming staticity and stability. Through a novel approach involving geometric deformation, we separate the coupled system into two distinct systems, facilitating a deeper understanding of the underlying dynamics. Specifically, we deform the radial components of the source function b(r) via the mapping: 
, where 
represents the deformation function. Our analysis reveals that this geometric deformation induces unexpected mass and compactness variations, with a notable increase observed for negative values of 
, contradicting prior assumptions. These findings highlight the potential for additional mass packing in compact stellar objects under Modified Geometric Deformation. They offer insights into the complexities of compact stellar objects and their implications for gravitational theories.
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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.
