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Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories

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.

preprint2022arXivOpen access
Stella KiorpelidiGeorge KoutsoumbasAndri MachattouEleftherios Papantonopoulos
gr-qchep-th
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Stella KiorpelidiGeorge KoutsoumbasAndri MachattouEleftherios Papantonopoulos

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