Gauss–Bonnet boson stars

Abstract

We construct boson stars in (4+1)-dimensional Gauss-Bonnet gravity. We study the properties of the solutions in dependence on the coupling constants and investigate these in detail. While the "thick wall" limit is independent of the value of the Gauss-Bonnet coupling, we find that the spiraling behaviour characteristic for boson stars in standard Einstein gravity disappears for large enough values of the Gauss-Bonnet coupling. Our results show that in this case the scalar field can not have arbitrarily high values at the center of the boson star and that it is hence impossible to reach the "thin wall" limit. Moreover, for large enough Gauss-Bonnet coupling we find a unique relation between the mass and the radius (qualitatively similar to those of neutron stars) which is not present in the Einstein gravity limit.

Rotating boson stars in five-dimensional Einstein-Gauss-Bonnet gravity

“…The effect of the Gauss-Bonnet term on five dimensional (non rotating) boson stars was analyzed in [20] with a φ 6 potential. Many features of the solutions are qualitatively similar with the potential (3).…”

“…We attempted to understand the reason of this technical difficulty by inspecting the behaviour at the origin of the metric and of the Ricci scalar R(r). In complement to the figures presented in [20], we present on Fig. 1 We first discuss the solutions for Einstein gravity (i.e.…”

“…The behaviour of the quantities M, Q as functions of the frequency ω is largely discussed by the figures presented in [20]. It is however useful to remember some features for the next sections.…”

“…It is therefore natural to study the effects of the Gauss-Bonnet term to the spectrum of boson stars. The non-spinning boson stars were constructed with Einstein-Gauss-Bonnet action in [20]. It is the purpose of this paper to extend this results for spinning solutions.…”

Black holes with scalar hair in Einstein–Gauss–Bonnet gravity

“…[13] for a review). Boson stars in d > 4 dimensional space-times were investigated namely in [14,15,16].…”