Boson stars with negative Gauss–Bonnet coupling

Abstract

AbstractIn this paper, we discuss asymptotically flat and anti-de Sitter (AdS) boson star in $$(4+1)$$ ( 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 $$\alpha $$ α , cosmological constant $$\Lambda $$ Λ and gravitational constant $$\kappa $$ κ . 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 $$\kappa $$ κ is large and $$\alpha $$ α is negative enough, the spiral shrinks and pulls back to the larger internal frequency $$\omega $$ ω , and there is only one branch exists. We have also observed that when $$\kappa $$ κ is small enough and if $$\alpha $$ α is close to zero, the spiral will unfold.