Structure and stability of charged anisotropic compact stars in Finch-Skea spacetime within f(R) gravity

Abstract

This paper investigates anisotropic spherical structures within the framework of metric $f\left(R\right)$ gravity, an extension of general relativity that incorporates functions of the Ricci scalar $R$ to account for modified gravitational effects. We focus on compact stars, specifically neutron stars and strange stars, assuming the matter content to be electrically charged, and employ Finch-Skea solutions to analyze their properties under the different viable $f\left(R\right)$ gravity models. These models allow us to explore how modifications to gravity influence the internal structure, composition, and behavior of compact stars in the presence of electric charge. We examine key material variables, including density, radial and tangential pressures, anisotropy, and the interplay of forces (gravitational, hydrostatic, anisotropic, and electric force), using graphical analysis to illustrate their behavior. The physical viability of the stellar models is rigorously assessed by evaluating the energy conditions (NEC, WEC, SEC, and DEC) and the equation of state (EoS) parameter. Additionally, we investigate the role of anisotropy and electric charge in determining the stability and structural properties of these compact objects. By comparing our results with those of general relativity, we highlight the distinctive implications of $f\left(R\right)$ gravity on compact stars. This study aims to advance our understanding of how modified gravity theories, coupled with electric charge, could alter the properties and dynamics of compact astrophysical objects, providing insights into the interplay between gravity, matter, anisotropy, and electromagnetic effects in extreme environments.