Nonlinear scalarization of Schwarzschild black holes in Einstein-scalar-Gauss-Bonnet gravity
| Autor: | Zhang, Chao-Ming, Yang, Zhen-Hao, Lai, Meng-Yun, Myung, Yun Soo, Zou, De-Cheng |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we propose a fully nonlinear mechanism for obtaining scalarized black holes in Einstein-scalar-Gauss-Bonnet (EsGB) gravity which is beyond the spontaneous scalarization. Introducing three coupling functions $f(\varphi)$ satisfying $f''(0) = 0$, we find that Schwarzschild black hole is linearly stable against scalar perturbation, whereas it is unstable against nonlinear scalar perturbation if the coupling function includes term higher than $\varphi^6$. For a specific choice of coupling function $f(\varphi)=\alpha(\varphi^4-\beta\varphi^6)$, we obtain new black holes with scalar hair in the EsGB gravity. In this case, the coupling parameter $\alpha$ plays a major role in making different nonlinear scalarized black holes, while the other parameter $\beta$ plays a supplementary role. Furthermore, we study thermodynamic aspects of these scalarized black holes and prove the first-law of thermodynamics. Comment: 14 pages, 6 figures |
| Databáze: | arXiv |
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