史瓦西黑洞对多极大量复标量场包的吸积
Accretion of multipolar massive complex scalar field packets by a Schwarzschild black hole
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中文总结 AI 辅助
研究史瓦西黑洞对复大量标量波包的吸积，通过分解克莱因 - 戈登场逐模演化高斯包，用诺特定流通量量化吸积，构建吸积效率图，揭示吸积过程受\(R_s\)与\(\lambdabar_C\)比率控制，提供基于时域和诺特电荷的黑洞吸积分类。
中文摘要 AI 辅助
我们在测试场区域研究史瓦西黑洞对复大量标量波包的有限时间吸积，参数由超大质量黑洞周围的超轻模糊暗物质激发。目标是确定局部构型的标量内容与黑洞相互作用后如何重新分布，以及哪些光谱和多极分量被更有效地吸收。我们将克莱因 - 戈登场分解为独立的多极扇区，并逐模演化近单色高斯包，将问题简化为一组1 + 1维演化。用通过视界表面的守恒诺特定流的通量量化吸积，直接测量黑洞吸收的标量电荷。对于载波径向波数\(k_0\)和多极指数\(\ell\)，我们在\((k_0,\ell)\)平面构建包含吸积模态电荷分数的吸积效率图。这些图展示了低效、部分和高效吸积 regime 之间的转变，与有效势的结构相关。我们表明该过程由史瓦西半径\(R_s\)与约化康普顿波长\(\lambdabar_C\)的比率控制。对于\(R_s \lesssim \lambdabar_C\)，转变宽泛且受角动量屏障主导，而对于\(R_s > \lambdabar_C\)，它在更窄的\(k_0\)范围内变尖锐，并且在低\(k_0\)处出现部分吸积底限。这些结果为大量标量波包的黑洞吸积提供了基于时域、诺特电荷的分类。
英文摘要
We study the finite-time accretion of complex massive scalar wave packets by a Schwarzschild black hole in the test-field regime, with parameters motivated by ultralight fuzzy dark matter around supermassive black holes. Our goal is to determine how the scalar content of a localized configuration is redistributed after interacting with the black hole, and which spectral and multipolar components are more efficiently absorbed. We decompose the Klein--Gordon field into independent multipolar sectors and evolve nearly monochromatic Gaussian packets mode by mode, reducing the problem to a set of 1+1 dimensional evolutions. Accretion is quantified with the flux of the conserved Noether current through the horizon surface, providing a direct measure of the scalar charge absorbed by the black hole. For a carrier radial wavenumber $k_0$ and multipole index $\ell$, we construct accretion-efficiency maps in the $(k_0,\ell)$ plane that contain the fraction of accreted modal charge. These maps exhibit a transition between inefficient, partial, and efficient accretion regimes, which we relate to the structure of an effective potential. We show that the process is controlled by the ratio between the Schwarzschild radius $R_s$ and the reduced Compton wavelength $\lambdabar_C$. For $R_s \lesssim \lambdabar_C$, the transition is broad and dominated by the angular momentum barrier, while for $R_s > \lambdabar_C$ it sharpens across a narrower range of $k_0$ and a partial-accretion floor emerges at low $k_0$. These results provide a time-domain, Noether-charge-based classification of black hole accretion for massive scalar wave packets.
