Implications of minimal gravitational decoupling on compact models admitting Kohler–Chao–Tikekar spacetime in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e149"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> theory
Waseem Ahmad, Tayyab Naseer, M. Sharif
Abstract
This study examines the decoupling of gravitational sources within the context of f ( Q , L m ) gravity, allowing for the analytical solutions of the field equations under the incorporation of a new gravitational matter sector. An extra source introduced in the seed fluid content introduces anisotropy to the internal geometry. The implementation of minimal geometric deformation decouples the field equations into two separate sets that characterize isotropic and anisotropic sources. We then use the metric coefficients from the Kohler–Chao–Tikekar cosmological model to solve the initial set of equations, whilst the subsequent set, which includes the extra fluid sector, is addressed by enforcing certain limits on pressure and density of both sources. The final outcomes are then obtained by adding the solutions from both fluid distributions. Afterwards, we examine the impact of the decoupling parameter on several fluid attributes to evaluate the physical feasibility of the resulting models. A thorough examination of the stability characteristics of each solution is also performed utilizing different techniques. Our findings indicate that this extended teleparallel theory offers a consistent and physically feasible framework for modeling compact stellar objects under the gravitational decoupling.