Stable, Charged, and Anisotropic: Compact Stars in f(R, ø, X) Gravity

The aim of the present work is to explore the behavior of charged, anisotropic compact spheres within the framework of f(R; ø,X) modified gravity, where R, ø, and X represent the Ricci scalar, scalar field, and kinetic term, respectively. In this work, we consider a static spherically symmetric spacetime to investigate the nature of compact stars. Moreover, we take the g tt metric potential to be of an Adler-type ansatz, which leads to a broader family of solutions. The corresponding g rr component is then determined analytically via the Karmarkar condition. We also choose Bardeen geometry as the exterior spacetime to determine the constants. This study evaluates the physical properties of compact stars, such as energy density, radial pressure, tangential pressure, anisotropy, and equation-of-state parameters. We analyze the stability of compact stars using the adiabatic index and equilibrium conditions, which indicate that our models are stable. Furthermore, we examine the graphical behavior of the energy conditions and find that the considered stars are viable. Additional properties of compact stars, such as the mass function, compactness factor, and redshift function, are investigated through graphical representations. Our analysis demonstrates that the resulting stellar model is physically stable, viable, and singularity-free.