Analytical approximate solutions for scalarized AdS black holes
De-Cheng Zou, Bo Meng, Ming Zhang, Sheng-Yuan Li, Meng-Yun Lai, Yun, Soo Myung
TL;DR
This paper develops analytical approximate solutions for scalarized AdS black holes within the Einstein-scalar-Gauss-Bonnet theory, validating them against numerical solutions to enhance understanding of scalarization phenomena in AdS spacetimes.
Contribution
It introduces the use of the homotopy analysis method to derive analytical solutions for scalarized AdS black holes, complementing numerical constructions in the ESGB theory.
Findings
Analytical solutions agree with numerical results across the entire space
Scalarized AdS black holes are successfully modeled analytically
The method provides a new approach to studying scalarization in AdS black holes
Abstract
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.
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