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arXiv 2103.13599gr-qc
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Anti-de Sitter时空中动态荷电黑洞的自发标量化

Dynamical charged black hole spontaneous scalarization in Anti-de Sitter spacetimes

Cheng-Yong Zhang, Peng Liu, Yunqi Liu, Chao Niu, Bin Wang

摘要:

研究了Einstein-Maxwell标量理论中带有耦合函数$f(ϕ)=e^{-bϕ^{2}}$的黑洞自发标度化的完全非线性动力学,它可以将通常的Reissner-Nordström Anti-de Sitter(RN-AdS)黑洞转化为多毛黑洞.当系统的Arnowitt-Deser-Misner质量一定时,只要耦合函数中的常数$-b$和原黑洞的电荷足够大,而宇宙学常数足够小,初始标量扰动将破坏原RN-AdS黑洞,使其变为多毛黑洞.在标量化过程中,我们观察到黑洞的不可约质量最初呈指数增长,然后逐渐接近并最终饱和到一个有限值。在较强的耦合和较大的黑洞电荷的情况下,我们发现黑洞的质量指数增长更早,毛状黑洞的发展和稳定需要更长的时间。我们进一步研究了标量化过程中的相结构性质,并证实了非线性动力学研究中的观察结果。

英文摘要:

We study the fully nonlinear dynamics of black hole spontaneous scalarizations in Einstein-Maxwell scalar theory with coupling function $f(ϕ)=e^{-bϕ^{2}}$, which can transform usual Reissner-Nordström Anti-de Sitter (RN-AdS) black holes into hairy black holes. Fixing the Arnowitt-Deser-Misner mass of the system, the initial scalar perturbation will destroy the original RN-AdS black hole and turn it into a hairy black hole provided that the constant $-b$ in the coupling function and the charge of the original black hole are sufficiently large, while the cosmological constant is small enough. In the scalarization process, we observe that the black hole irreducible mass initially increases exponentially, then it approaches to and finally saturates at a finite value. Choosing stronger coupling and larger black hole charge, we find that the black hole mass exponentially grows earlier and it takes a longer time for a hairy black hole to be developed and stabilized. We further examine phase structure properties in the scalarization process and confirm the observations in the non-linear dynamical study.

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