Polytropic stars are useful tools for learning about stellar structure without the complexity of comprehensive stellar models. These models rely on a certain power-law correlation between the star's pressure and density. This paper proposes a polytropic star model to investigate some new features in the context of $5\mathcal{ D}$ Einstein-Gauss-Bonnet (EGB) gravity using the Finch-Skea { \em ansatz} [{ \em M. R. Finch and J. E. Skea, Classical and Quantum Gravity 6, 467 (1989)}]. Analytical results are better described by graphical representations of the physical parameters for various values of the Gauss-Bonnet coupling constant $\alpha$. The solution for a specific compact object, EXO 1785-248, with radius $\mathfrak{ R} = 8.849_{ -0.04}^{ +0.04}$ km and mass $\mathcal{ M} = 1.3 \pm 0.02~\mathcal{ M}_{ \odot}$, is shown here. We analyze the essential physical attributes of the star, which reveal the influence of the coupling parameter $\alpha$ on the values of the parameters. Ultimately, we conclude that our current model is realistic because it satisfies all the physical criteria for an acceptable model.
Categories: gr-qc astro-ph.SR