超轻暗物质溶iton中的石跳黑洞
Stone Skipping Black Holes in Ultralight Dark Matter Solitons
AI总结：
研究揭示超轻暗物质溶iton中黑洞轨道因偶极激发产生石跳现象，改变轨道动力学，影响超大质量黑洞动力学及引力波观测。
摘要：
一个移动在超轻暗物质（ULDM）溶iton中的黑洞轨道通常因动态摩擦而衰减。然而，单个黑洞可以经历'石跳'，其轨道半径呈准周期性变化。我们证明石跳是由溶iton的偶极激发引起的。我们将其建模为受迫、阻尼谐振子的共振，表明溶iton的相干响应可以显著改变其内部物体的动态。这表明，如果黑洞质量远小于溶iton质量，溶iton的偶极扰动可以修改并 inspiral 时标，对超大质量黑洞动力学、最后Parsec问题和ULDM宇宙中的引力波观测有影响。
英文摘要：
The orbit of a black hole moving within an ultralight dark matter (ULDM) soliton is naively expected to decay due to dynamical friction. However, in isolated near-circular soliton--black-hole systems, single black holes can undergo ``stone skipping'', with their orbital radius varying quasi-periodically. We show that, within this controlled setting, stone skipping is driven by a dipole excitation of the soliton. We model the effect as a resonance in a forced, damped harmonic oscillator, demonstrating that the coherent response of the soliton can significantly modify the dynamics of objects orbiting within it. In this regime, a dipole perturbation of a soliton can modify inspiral timescales when the black hole masses are significantly smaller than the soliton mass, with implications for supermassive black hole dynamics, the final parsec problem and gravitational wave observations in a ULDM cosmology.
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