Abstract
In this paper, we discuss asymptotically flat and anti-de Sitter (AdS) boson star in (4+1)-dimensional Gauss–Bonnet gravity. We describe the dependence of the mass, the charge and the radius of the boson star on the model parameters, such as Gauss–Bonnet coupling alpha , cosmological constant Lambda and gravitational constant kappa . The basic properties of the solutions of boson stars have been studied for the different negative values of Gauss–Bonnet coupling. We found that when kappa is large and alpha is negative enough, the spiral shrinks and pulls back to the larger internal frequency omega , and there is only one branch exists. We have also observed that when kappa is small enough and if alpha is close to zero, the spiral will unfold.
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