Nonlinearly scalarized black holes exist in EsGB theory for couplings ζ(φ)=αφ⁴−βφ⁸ and ζ(φ)=αφ⁴−βφ⁶ (but not pure quartic), with instability thresholds for Gaussian pulses and universal probe-limit branches that depend on β when backreaction is included.
Phase transitions of scalarized Einstein-scalar-Gauss-Bonnet Black Holes,
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Existence of nonlinearly scalarized black holes in Einstein-scalar-Gauss-Bonnet theory with polynomial couplings
Nonlinearly scalarized black holes exist in EsGB theory for couplings ζ(φ)=αφ⁴−βφ⁸ and ζ(φ)=αφ⁴−βφ⁶ (but not pure quartic), with instability thresholds for Gaussian pulses and universal probe-limit branches that depend on β when backreaction is included.