标题： 通过事件视界望远镜利用M87*的阴影来限制一维波型引力波参数 显示英文标题

标题： Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope

摘要： 在EHT成功提供第一个黑洞图像的辉煌成就期间，关于不同天体物理环境对黑洞几何结构的影响，已经发表了大量论文。 受关于引力波如何影响施瓦茨希尔德黑洞阴影的工作的启发[Eur. Phys. J. C 10.1140/epjc/s10052-021-09287-2]，我们通过扩展不确定性原理（EUP）考虑黑洞上的量子修正来扩展它。 在这一修正的同时，我们研究了引力波对零测地线和光子球的影响，并使用M87*的黑洞阴影，对引力波参数$\epsilon$进行了约束，对于给定的引力波频率$\sigma$的一些测试值。 不仅如此，在光轨迹中发现了一些节点，而且随着时间$t$的推进，路径的一般行为以周期性的方式发生变化。 这些模式随后证实了某些远距离观察者所看到的阴影的混沌形成。 最后，我们发现的$\epsilon$的约束是，在距离$D = 16.8$Mpc 处，引力波效应要被看到需要$~10^{-10}$个数量级。 由于$\epsilon$的这个值，另一个结果表明，尽管在$D$观测到的阴影上存在引力波效应，但光子球上的偏差几乎可以忽略不计。 除了地球上的引力波探测器外，该研究暗示了另一种检测方法的可能性，特别是如果引力波源靠近一个孤立的黑洞时。 显示英文摘要

摘要： During the glorious success of the EHT in providing the first image of a black hole, numerous papers have been published about the effect of different astrophysical environments on black hole geometry. Motivated by the work on how gravitational wave affects the shadow of a Schwarzschild black hole [Eur. Phys. J. C 10.1140/epjc/s10052-021-09287-2], we extend it by considering a quantum correction on the black hole through the extended uncertainty principle (EUP). Along with this correction, we probe the gravitational wave's effect on the null geodesics, and photonsphere, and find constraints to the gravitational wave parameter $\epsilon$ using the black hole shadow of M87* for some given test value for the gravitational wave frequency $\sigma$. Not only that some nodes were found in the light trajectory, but the general behavior of paths changes in a periodic way as the time $t$ progresses. These patterns then confirm the chaotic formation of the shadow seen by some remote observer. Finally, the constraint that we find for $\epsilon$ is $~10^{-10}$ orders of magnitude for the effect of the gravitational wave to be seen at a distance of $D = 16.8$ Mpc. As a consequence of such a value for $\epsilon$, another result reveals that while there is are gravitational wave effect on the shadow perceived at $D$, the deviations on the photonsphere are nearly non-existent. Apart from Earth-based detectors for gravitational waves, the study implies the possibility of an alternative detection method especially if a gravitational wave source is near a lone black hole.