arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.01205gr-qc
收藏

旋转短毛黑洞的强引力透镜效应及EHT观测的约束

Strong Gravitational Lensing Effects of the Rotating Short-Haired Black Hole and Constraints from EHT Observations

Lai Zhao, Meirong Tang, Zhaoyi Xu

AI总结:

本研究系统调查了旋转短毛黑洞的强引力透镜效应,发现短毛参数$Q_m$显著影响黑洞的事件视界半径、光子轨道半径及透镜系数,且在M87*和Sgr A*观测模拟中与其他模型存在显著的时间延迟差异,结合EHT观测数据有效约束了该模型的参数空间。

摘要:

对于仅在事件视界附近产生显著影响的短毛,研究其强引力透镜效应对揭示这些短毛的性质具有重要意义。本研究系统调查了旋转短毛黑洞中的强引力透镜效应,并对其短毛参数$Q_m$进行了约束。具体而言,$Q_m$导致事件视界半径、光子轨道半径和影响参数低于Kerr黑洞的对应值。关于透镜系数$\ar{a}$和$\ar{b}$,随着自旋参数$a$增加,$\ar{a}$呈增加趋势,而$\ar{b}$呈减少趋势。在M87*和Sgr A*的观测模拟中,相对论图像的角位置和角分离随$a$增加而增加,而图像的放大率呈相反趋势。$Q_m$的存在仅加剧这些趋势,而参数$k$则抑制这些倾向。更重要的是,旋转短毛黑洞与其他黑洞模型相比在时间延迟上表现出显著差异。特别是在M87*的模拟中,旋转短毛黑洞与Kerr黑洞以及Kerr-Newman黑洞之间的时间延迟偏差可达数十小时。通过与EHT观测数据的对比分析,我们有效约束了旋转短毛黑洞的参数空间。结果表明,该模型在解释宇宙黑洞现象方面具有潜在应用前景,并为区分不同黑洞模型提供了可能的理论基础。

英文摘要:

For the short hairs that have a significant impact only near the event horizon, studying their strong gravitational lensing effects is of great significance for revealing the properties of these hairs. In this study, we systematically investigated the strong gravitational lensing effects in the rotating short-haired black hole and constrained its hair parameter $Q_m$. Specifically, \(Q_m\) causes the event horizon radius, photon - orbit radius, and impact parameter to be lower than those of the Kerr black hole. Regarding the lensing coefficients \(\bar{a}\) and \(\bar{b}\), as the spin parameter \(a\) increases, \(\bar{a}\) shows an increasing trend, while \(\bar{b}\) shows a decreasing trend. In the observational simulations of M87* and Sgr A*, the angular position and angular separation of the relativistic image increase with the increase of \(a\), while the magnification of the image shows an opposite trend. The existence of \(Q_m\) only intensifies these trends, while parameter $k$ suppresses such tendencies. More importantly, the rotating short-haired black hole exhibits a significant difference in time delay compared to other black hole models. Especially in the simulation of M87*, the time delay deviation between the rotating short-haired black hole and the Kerr black hole, as well as the Kerr-Newman black hole, can reach dozens of hours. Through a comparative analysis with the observational data from the EHT, we effectively constrain the parameter space of the rotating short-haired black hole. The results indicate that this model has potential application prospects in explaining cosmic black hole phenomena and provides a possible theoretical basis for differentiating between different black hole models.

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。

↑