Properties of relativistic star in 5D Einstein–Gauss–Bonnet gravity

Abstract

In recent years, there has been a growing interest in stellar modeling in the framework of Einstein–Gauss–Bonnet gravity. In this paper, for a relativistic star in static equilibrium, we invoke the five-dimensional Einstein–Gauss–Bonnet gravity and solve the system by assuming a matter distribution that admits a linear equation of state. We fix the model parameters by matching the interior solution to the exterior Boulware–Deser metric, which facilitates physical analysis of the resultant configuration. We analyze the star’s gross physical properties, which brings to attention the role of the Gauss–Bonnet coupling parameter [Formula: see text] in fine-tuning the values of the matter variables.