Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories
arXiv:2202.00655 · doi:10.1103/PhysRevD.105.104039
Abstract
We study the perturbative behaviour of topological black holes in the presence of a cosmological constant and a scalar field coupled to the Gauss-Bonnet term. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations in the extended scalar-tensor-Gauss-Bonnet gravity. In the case of small black holes we find a phase transition of the topological black hole to a hairy configuration.
20 pages, 8 figures
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