Compact Stars in Ricci Inverse Gravity with Matter Trace Effects

This study examines isotropic compact structures in the framework of Ricci inverse gravity with a trace term [Formula: see text], which introduces anti-curvature scalar and matter-geometry coupling beyond general relativity. This modified theory extends general relativity by introducing an inverse curvature correction alongside a non-minimal coupling between matter and geometry, enabling a deeper understanding of gravitational effects in high-density regimes. Using a static spherically symmetric metric and applying the Karmarkar condition, we derive class-I solutions by fixing one metric potential [Formula: see text] and determining the other accordingly. The model is applied to known compact stars [Formula: see text] and [Formula: see text] and evaluate the unknown constants present in the metric tensors. A detailed analysis of energy density and pressure cocomponent, energy conditions, stability, redshift, and mass-radius relation confirms that the model supports realistic stellar configurations. The results suggest that Ricci inverse gravity with trace term [Formula: see text] offers a promising extension for modeling dense astrophysical objects.