De Sitter potential in six dimensional Einstein–Gauss–Bonnet isotropic fluids

Abstract

We present a physically reasonable stellar model in 6-dimensional Einstein–Gauss–Bonnet gravity by prescribing the de Sitter temporal metric potential. The model displays the necessary qualitative features of a compact star model with variable density profile. For a specified parameter space, the model is shown to be well-behaved in the sense that the energy density and pressure are both positive and smooth decreasing functions, with the pressure vanishing on a suitable hyper-surface, thus establishing a finite boundary for the isotropic distribution. Additionally, the model is causal, the energy conditions and adiabatic stability index are all satisfied. The exact solution does not contain the Einstein gravity model by switching off the higher curvature coupling. The model in the standard theory is constructed from the field equations, and its own associated parameter space is determined. The Einstein model displays some undesirable traits, which are eliminated when the higher curvature terms are active.