Polytropic stellar structure in 5$\mathcal{D}$ Einstein-Gauss-Bonnet gravity

Abstract

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 $\hat{I}\pm$. 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 $\hat{I}\pm$ 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.

23 pages, 11 figures, 4 tables