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

TL;DR

This paper investigates the asymptotic behavior of spherically symmetric solutions in a dimensionally reduced six-dimensional Einstein-Gauss-Bonnet gravity model, highlighting the role of scalar fields and horizon conditions.

Contribution

It provides new insights into the asymptotic properties of solutions in reduced Einstein-Gauss-Bonnet gravity, emphasizing the non-trivial scalar field and horizon structure.

Findings

Scalar field parametrizes internal space size and is generally non-trivial.

Solutions depend on a single parameter.

Naked singularities are avoided with a minimal horizon radius.

Abstract

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.