SPACE, TIME AND FUNDAMENTAL INTERACTIONS

Stellar Structures in \(f(R)\) Gravity under Finch–Skea Spacetime

lyas M., Shinwari Z. U. N.

The objective of this work is to investigate anisotropic compact stars within the framework of \(f(R)\) gravity using the Finch–Skea spacetime. By employing two viable forms of the gravitational Lagrangian, we explore the internal structure of dense astrophysical objects through key physical quantities such as energy density, pressure components, anisotropy, and mass function. Graphical analysis is used to assess the impact of curvature corrections on equilibrium and stability. The models are tested against standard energy conditions, the generalized TOV equation, and equation of state parameters. Results confirm that the considered configurations yield physically viable and stable stellar structures, demonstrating the efficacy of modified gravity in realistic compact star modeling.