# Physical Attributes of Anisotropic Compact Stars in $f(R,G)$ Gravity

## TL;DR

This paper investigates the physical properties and stability of anisotropic compact stars within $f(R,G)$ gravity, using specific models and graphical analysis to understand their behavior under modified gravity theories.

## Contribution

It introduces a combined $f(R,G)$ gravity model and analyzes anisotropic star properties, energy conditions, and stability through 3D graphical methods.

## Key findings

- Stars behave normally for positive $f(G)$ parameter $n$
- Energy conditions are satisfied in the models
- Stars remain stable under the considered conditions

## Abstract

Modified gravity is one of the potential candidates to explain the accelerated expansion of the universe. Current study highlights the materialization of anisotropic compact stars in the context of $f(R,G)$ theory of gravity. In particular, to gain insight in the physical behavior of three stars namely, Her $X1$, SAX J $1808$-$3658$ and 4U $1820$-$30$, energy density, and radial and tangential pressures are calculated. The $f(R,G)$ gravity model is split into a Starobinsky like $f(R)$ model and a power law $f(G)$ model. The main feature of the work is a $3$-dimensional graphical analysis in which, anisotropic measurements, energy conditions and stability attributes of these stars are discussed. It is shown that all three stars behave as usual for positive values of $f(G)$ model parameter $n$.