Impact of Tolman-Kuchowicz Potentials on Gauss-Bonnet Gravity and Isotropic Stellar Structures

TL;DR

This paper investigates charged isotropic stellar objects within modified Gauss-Bonnet gravity using Tolman-Kuchowicz potentials, analyzing their physical viability, stability, and key properties like mass, compactness, and redshift.

Contribution

It introduces a new model of stellar structures in Gauss-Bonnet gravity with Tolman-Kuchowicz potentials, incorporating Bardeen's exterior geometry for the first time.

Findings

Model satisfies energy conditions and causality.

Stellar structures are stable and physically viable.

Mass-radius and redshift profiles support realistic star models.

Abstract

In this manuscript, we study the behavior of charged isotropic compact stellar objects within the framework of the modified Gauss-Bonnety theory of gravity by considering the Tolman Kuchowicz spacetime. We use some matching conditions of spherically symmetric space-time with Bardeen model as an exterior geometry and examine the physical behavior of stellar structures. In the current analysis, we discuss the energy conditions to check the viability of our model. Many physical aspects have been examined, such as energy density, pressure evolution, equation of state parameter, and causality condition. Furthermore, an equilibrium condition can be visualized through the modified Tolman-Oppenheimer-Volkov equation. Further, we study mass-radius function, compactness and redshift function, which are some essential features of the charged compact star model. It is worthwhile to mention here for the current study that our stellar structure in the background of Bardeen's model is more viable and stable.