A spherical black hole immersed in perfect-fluid dark matter becomes unstable to scalar hair for negative Gauss-Bonnet coupling when its dark matter parameter b/M is above 1.86287.
Axisymmetric Black Hole Has Only Two De- grees of Freedom,
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Dark-Matter Induced Scalarization of Black Holes in Extended Scalar-Tensor-Gauss-Bonnet Theories
A spherical black hole immersed in perfect-fluid dark matter becomes unstable to scalar hair for negative Gauss-Bonnet coupling when its dark matter parameter b/M is above 1.86287.