Dual impact of matter coupling on LMC X-4 pulsar observations and stability

This study examines the behavior of compact astrophysical objects within a matter-geometry coupled f ( R ) gravity model. The modified field equations are expressed for a static interior spacetime with an anisotropic matter distribution. Applying two well-defined radial components of the metric ansatz and anisotropic pressures allows for analytical solutions to these equations. In both theoretical models, integrating the differential equations introduces constants, which are fixed using boundary conditions. Furthermore, the condition of null radial pressure at the boundary is used to determine these constants. Additionally, we visually assess certain important features that ensure the physical acceptability of the proposed model and support our analysis with observational data from LMC X-4. Our theoretical research shows that both models meet the physical viability and stability requirements. Further, our investigation also contributes to the knowledge of how the modified gravity model influences the interior structure of compact stars, paving the way for future studies.