Formation of scalar hair on Gauss-Bonnet solitons and black holes
Yves Brihaye (Universite de Mons, Belgium), Betti Hartmann (JUB,, Germany), Sardor Tojiev (JUB, Germany)

TL;DR
This paper investigates how scalar hair forms on Gauss-Bonnet solitons and black holes in 5D AdS space, revealing the influence of the Gauss-Bonnet term on solution patterns and including rotating cases.
Contribution
It provides new insights into scalar hair formation in Gauss-Bonnet gravity, especially regarding static and rotating black holes and solitons in 5D AdS space.
Findings
Gauss-Bonnet term affects soliton solution patterns at low electric charge
Scalar hair can form on both static and rotating Gauss-Bonnet black holes
The presence of scalar hair depends on the Gauss-Bonnet coupling and charge
Abstract
We discuss the formation of scalar hair on Gauss-Bonnet solitons and black holes in 5-dimensional Anti-de Sitter (AdS) space-time. We present new results on the static case and point out further details. We find that the presence of the Gauss-Bonnet term has an influence on the pattern of soliton solutions for small enough values of the electric charge. We also discuss rotating Gauss-Bonnet black holes with and without scalar hair.
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