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arXiv 2104.07281gr-qc
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反德西特黑洞在Einstein-Maxwell-Einstein理论中的演化

Evolution of Anti-de Sitter black holes in Einstein-Maxwell-dilaton theory

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

摘要:

在Einstein-Maxwell-Stokes理论中,利用耦合函数$f(ϕ)=e^{-bϕ}$研究了渐近反de Sitter时空中球对称黑洞在中性标量场微扰下的非线性演化.标量场和麦克斯韦场之间的非最小耦合允许能量从麦克斯韦场传输到标量场,但也表现为标量的排斥力。标量场以阻尼振幅振荡,并按幂律收敛到一个终值。黑洞的不可约质量在初始时刻突然增加,然后以指数方式饱和到最终值。饱和速率是标量主模衰减速率的两倍。详细研究了黑洞电荷、宇宙学常数和耦合参数对演化的影响。当初始位形是一个具有大荷质比的裸奇点时空时,视界将很快形成并隐藏奇点。

英文摘要:

We study the nonlinear evolution of the spherical symmetric black holes under a small neutral scalar field perturbation in Einstein-Maxwell-dilaton theory with coupling function $f(ϕ)=e^{-bϕ}$ in asymptotic anti-de Sitter spacetime. The non-minimal coupling between scalar and Maxwell fields allows the transmission of the energy from the Maxwell field to the scalar field, but also behaves as a repulsive force for the scalar. The scalar field oscillates with damping amplitude and converges to a final value by a power law. The irreducible mass of the black hole increases abruptly at initial times and then saturates to the final value exponentially. The saturating rate is twice the decaying rate of the dominant mode of the scalar. The effects of the black hole charge, the cosmological constant and the coupling parameter on the evolution are studied in detail. When the initial configuration is a naked singularity spacetime with a large charge to mass ratio, a horizon will form soon and hide the singularity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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