Asymptotic properties of black hole solutions in dimensionally reduced Einstein–Gauss–Bonnet gravity

We study the asymptotic behavior of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein–Gauss–Bonnet action. We show that in general the scalar field that parametrizes the size of the internal space is not trivial, but nevertheless the solutions depend on a single parameter. In analogy with other models containing Gauss–Bonnet terms, naked singularities are avoided if a minimal radius for the horizon is assumed.