Quark stars in 4-dimensional Einstein-Gauss-Bonnet gravity

TL;DR

This paper presents the first exact solution for quark stars in four-dimensional Einstein-Gauss-Bonnet gravity, using an anisotropic matter source, and tests its physical viability against established constraints and parameters.

Contribution

It introduces a novel exact solution in 4D EGB gravity for quark stars, incorporating anisotropic matter and the MIT-bag model, and evaluates its physical plausibility.

Findings

Derived the first exact quark star solution in 4D EGB gravity.

Estimated the bag constant range consistent with physical constraints.

Analyzed the impact of Gauss-Bonnet coupling on stellar structure.

Abstract

The article explores the first exact solution in a four-dimensional EGB-gravity with an anisotropic matter source. The solution has been found by two assumptions, a metric potential and the MIT-bag equation of state. Further, the solution has been tested with several physical constraints. Finally, using the boundary condition we have also estimated the range of bag constant $\mathcal{B}$ by varying the mass of the structure and the Gauss-Bonnet coupling constant $\alpha$. This allows us to check the physical viability of the solution by comparing it with the existing accepted range of bag constant $\mathcal{B}$.