The spontaneous scalarization of Schwarzscild-AdS is investigated in the Einstein-scalar-Gauss--Bonnet (ESGB) theory. Firstly, we construct scalarized AdS black holes numerically. Secondly, making use of the homotopy analysis method (HAM), we obtain analytical approximate solutions for scalarized AdS black holes in the ESGB theory. It is found that scalarized AdS black holes constructed numerically are consistent with analytical approximate solutions in the whole space.
@article{arxiv.2301.04784,
title = {Analytical approximate solutions for scalarized AdS black holes},
author = {De-Cheng Zou and Bo Meng and Ming Zhang and Sheng-Yuan Li and Meng-Yun Lai and Yun Soo Myung},
journal= {arXiv preprint arXiv:2301.04784},
year = {2023}
}