Study on physical properties and characteristics of an anisotropic compact star model using Karmarkar Condition in F(Q) gravity

TL;DR

This paper models an anisotropic compact star in F(Q) gravity using the Karmarkar condition, analyzing its physical properties, stability, and mass-radius relation based on observed data and modified gravity equations.

Contribution

It introduces a new anisotropic star model in F(Q) gravity with solutions derived via the Karmarkar condition, enhancing understanding of compact stars in modified gravity.

Findings

The model describes a physically plausible compact star with energy density around 10^14 g/cm^3.

Stability analysis confirms the star's hydrostatic equilibrium under various conditions.

Mass-radius relations are established for different parameter values, matching observed star data.

Abstract

The main aim of this study is to examine the behaviour of physical parameters of an anisotropic compact star model demonstrating spherical symmetry in F(Q) modified gravity. To evaluate the behaviour and the stability of an anisotropic compact star model, we utilise the measured mass and radius of an anisotropic compact star model. This study obtained an anisotropic compact star model by solving Einstein field equations. The field equations have been simplified by an appropriate selection of the metric elements and the Karmarkar condition. By solving the field equation to develop a differential equation that establishes a relationship between two essential components of spacetime. A physical analysis of this model reveals that the resulting stellar structure for anisotropic matter distribution is a physically plausible representation of a compact star with an energy density of order $10^14 g/cm^3$. Using the Tolman-Oppenheimer-Volkoff equation, causality condition and Harrison-Zeldovich-Novikov Condition, we investigate the hydrostatic equilibrium and stability of the compact star Cen X-3. We further determined the mass-radius relation of this compact star for different values of delta}1.