Modeling of Hybrid Baryonic-Quark Matter in f(R) Gravity with scalar potential

Abstract

This paper investigates the characteristics of static, anisotropic self-gravitating structures composed of baryonic matter coupled with the strange quark matter in the background of $f(R,\varphi ,X)$ gravity. To describe the relationship between pressure and matter density for the quark matter configuration, we employ the MIT bag model. In our analysis, we articulated the system of $f(R,\varphi ,X)$ field equations by incorporating the MIT bag model alongside a linear equation of state in a specific gravitational model. The Tolman–Kuchowicz metric potentials are used to model these fluids, and the constants are calculated by applying junction conditions, with the Schwarzschild geometry serving as the exterior solution. We thoroughly examined the physical validity of the derived solution by investigating the metric functions, matter components, energy conditions, hydrostatic equilibrium, and stability criteria. For the comprehensive graphical analysis, we fixed numerical values, including the bag constant and other parameters for nine compact star candidates. Consequently, our proposed model meets all important stability criteria and physical conditions, providing the solid basis for exploring the characteristics of hybrid stars.