Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems

TL;DR

This study investigates how $f(R)$ gravity models influence the structure and physical viability of anisotropic compact stars, using specific solutions and analyzing their physical and stability conditions.

Contribution

It explores the impact of different $f(R)$ gravity models on anisotropic stellar configurations using Krori and Barua solutions, assessing their physical viability and stability.

Findings

Certain $f(R)$ models produce physically viable compact star configurations.

Behavior of matter variables supports the stability of these models.

Graphical analysis indicates compatibility with astrophysical observations.

Abstract

This paper aims to explore some realistic configurations of anisotropic spherical structures in the background of metric $f(R)$ gravity, where $R$ is the Ricci scalar. The solutions obtained by Krori and Barua are used to examine the nature of particular compact stars with three different modified gravity models. The behavior of material variables is analyzed through plots and the physical viability of compact stars is investigated through energy conditions. We also discuss the behavior of different forces, equation of state parameter, measure of anisotropy and Tolman-Oppenheimer-Volkoff equation in the modeling of stellar structures. The comparison from our graphical representations may provide evidences for the realistic and viable $f(R)$ gravity models at both theoretical and astrophysical scale.