Collapse and Nonlinear Instability of AdS Space with Angular Momentum.
Collapse and Nonlinear Instability of AdS Space with Angular Momentum.
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具有角动量的 AdS 空间的塌陷和非线性不稳定性。
DOI：
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发表时间：
2017
影响因子：
8.6
通讯作者：
Benson Way
中科院分区：
文献类型：
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作者：
M. Choptuik;Ó. J. Dias;Jorge E Santos;Benson Way
我们提出了在存在复杂双态标量场的情况下具有相等角动量的 AdS_{5} 中旋转动力学的数值研究。我们确定，引力塌缩的终点对于高能量是迈尔斯-佩里黑洞，对于低能量是毛状黑洞。我们研究低能量 E 下塌缩的时间尺度，将角动量 J∝E 保持在反德西特 (AdS) 长度单位。我们发现，角动量的包含延迟了塌缩时间，但保留了 t∼1/E 缩放比例。我们扰动和演化旋转的玻色子星，发现靠近 AdS 空间的玻色子星显得稳定，但那些距离 AdS 空间足够远的玻色子星则不稳定。我们发现玻色子星不稳定性的动力学取决于扰动，导致要么塌缩成迈尔斯-佩里黑洞，要么发展成稳定的振荡解。
We present a numerical study of rotational dynamics in AdS_{5} with equal angular momenta in the presence of a complex doublet scalar field. We determine that the endpoint of gravitational collapse is a Myers-Perry black hole for high energies and a hairy black hole for low energies. We investigate the time scale for collapse at low energies E, keeping the angular momenta J∝E in anti-de Sitter (AdS) length units. We find that the inclusion of angular momenta delays the collapse time, but retains a t∼1/E scaling. We perturb and evolve rotating boson stars, and find that boson stars near AdS space appear stable, but those sufficiently far from AdS space are unstable. We find that the dynamics of the boson star instability depend on the perturbation, resulting either in collapse to a Myers-Perry black hole, or development towards a stable oscillating solution.