Magnetic fields lower the scalarization threshold for electromagnetic and gravitational Chern-Simons couplings but produce opposite trends on the two Gauss-Bonnet branches, with nonlinear terms converting exponential growth into bounded oscillations.
Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
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Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
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.
Admissible negative-w_r branches of trace-quadratic f(R,T) black holes support axial ringdown spectra governed by a single master equation equivalent to Einstein gravity plus frozen anisotropic fluid, differing from Schwarzschild by ~22% with no resolved α dependence.
Nonlinearly scalarized black holes in Einstein-scalar-Gauss-Bonnet theory undergo a first-order phase transition from Schwarzschild black holes with non-zero latent heat.
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Scalarizations of magnetized Reissner-Nordstr\"om black holes induced by parity-violating and parity-preserving interactions
Magnetic fields lower the scalarization threshold for electromagnetic and gravitational Chern-Simons couplings but produce opposite trends on the two Gauss-Bonnet branches, with nonlinear terms converting exponential growth into bounded oscillations.
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Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
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Odd-parity perturbations of trace-quadratic $f(R,T)$ black holes with anisotropic matter: admissible branches, axial ringdown, and a coupled-PINN benchmark
Admissible negative-w_r branches of trace-quadratic f(R,T) black holes support axial ringdown spectra governed by a single master equation equivalent to Einstein gravity plus frozen anisotropic fluid, differing from Schwarzschild by ~22% with no resolved α dependence.
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Thermodynamics and phase transitions of nonlinearly scalarized black holes in Einstein-scalar-Gauss-Bonnet theory
Nonlinearly scalarized black holes in Einstein-scalar-Gauss-Bonnet theory undergo a first-order phase transition from Schwarzschild black holes with non-zero latent heat.