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arXiv 2210.00523gr-qcastro-ph.GA
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量子波暗物质中的黑洞

Black hole in quantum wave dark matter

Reggie C. Pantig, Ali Övgün

摘要:

在这项工作中,我们探讨了模糊暗物质(FDM)(或波暗物质)晕对超大质量黑洞(SMBH)的影响。这样一个暗物质引入了孤子核心密度分布,我们把它理想地作为一个球形分布,周围的SMBH位于其中心。在这个方向上,由于黑洞和暗物质时空几何的结合,我们得到了一个新的度规。我们将该解应用于两个已知的SMBH-Sgr。A* 和M 87 * 的关系,并利用EHT的阴影直径经验数据,在给定玻色子质量$m_\text{b}$的情况下,约束孤子核半径$r_\text{c}$。然后,我们研究的行为的阴影半径的基础上,这样的约束和相对于一个静态的观察者。我们发现在区域$r_\text{obs}<r_\text{c}$和$r_\text{obs}>r_\text{c}$感知到不同的阴影大小,并且对于值$m_\text{b}<10^{-22}$ eV,偏差更大。关于阴影行为,我们还分析了孤子轮廓对薄吸积盘的影响。孤子暗物质效应通过事件视界附近的光度变化而显现。我们还分析了弱偏转角和由于孤子效应产生的爱因斯坦环。我们发现相当大的偏差,优于阴影大小的偏差,光源附近的SMBH与碰撞参量可比的孤子核心。我们的研究结果表明,可能的实验检测孤子暗物质的影响,使用SMBH在银河系中心。

英文摘要:

In this work, we explored the effect of the fuzzy dark matter (FDM) (or wave dark matter) halo on a supermassive black hole (SMBH). Such a dark matter introduces a soliton core density profile, and we treat it ideally as a spherical distribution that surrounds the SMBH located at its center. In this direction, we obtained a new metric due to the union of the black hole and dark matter spacetime geometries. We applied the solution to the two known SMBH - Sgr. A* and M87* and used the empirical data for the shadow diameter by EHT to constrain the soliton core radius $r_\text{c}$ given some values of the boson mass $m_\text{b}$. Then, we examine the behavior of the shadow radius based on such constraints and relative to a static observer. We found that different shadow sizes are perceived at regions $r_\text{obs}<r_\text{c}$ and $r_\text{obs}>r_\text{c}$, and the deviation is greater for values $m_\text{b}<10^{-22}$ eV. Concerning the shadow behavior, we have also analyzed the effect of the soliton profile on the thin-accretion disk. Soliton dark matter effects manifest through the varying luminosity near the event horizon. We also analyzed the weak deflection angle and the produced Einstein rings due to soliton effects. We found considerable deviation, better than the shadow size deviation, for the light source near the SMBH with impact parameters comparable to the soliton core. Our results suggest the possible experimental detection of soliton dark matter effects using an SMBH at the galactic centers.

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