In this paper, we discuss a fully nonlinear mechanism for the formation of scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet gravity, where Kerr black holes are linearly stable, but unstable against nonlinear scalar perturbations. With the help of the pseudospectral method, we obtain a spectrum of nonlinearly scalarized rotating black hole solutions with multiple scalarized branches. Moreover, we investigate the thermodynamic properties of nonlinearly scalarized rotating black holes and find the phase transition between Kerr and these scalarized black holes.
@article{arxiv.2304.08012,
title = {Nonlinearly scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet theory},
author = {Meng-Yun Lai and De-Cheng Zou and Rui-Hong Yue and Yun Soo Myung},
journal= {arXiv preprint arXiv:2304.08012},
year = {2023}
}