Study of Compact Stars with Buchdahl Potential in 5-D Einstein-Gauss-Bonnet Gravity

TL;DR

This paper models compact stars within 5-D Einstein-Gauss-Bonnet gravity using Buchdahl potential, analyzing how the Gauss-Bonnet coupling influences stellar properties while ensuring physical plausibility.

Contribution

It introduces a new compact star model in 5-D Einstein-Gauss-Bonnet gravity with a Buchdahl potential, exploring the impact of the coupling constant on physical characteristics.

Findings

Models satisfy all physical conditions for stellar objects.

Radial pressure, energy density, and anisotropy are regular and well-defined.

Physical properties depend on the Gauss-Bonnet coupling constant.

Abstract

In this paper, we have presented a compact object model in the framework of Einstein-Gauss-Bonnet gravity (EGB) with a linear equation of state considering a metric potential proposed for Buchdahl (1959). The new obtained models satisfy all physical requirements of a physically reasonable stellar object. We analyzed the effect of the Gauss-Bonnet coupling constant {\alpha} on the main physical characteristics of the model. We checked that the radial pressure, energy density and anisotropy are well defined and are regular in the interior of the star and are dependent of the values of the coupling constant.