论文标题
在黑洞图像中的相对论图像确定自旋参数和倾斜角度
Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
论文作者
论文摘要
我们研究了由Kerr黑洞图像中强力透镜引起的相对论图像，这些图像带有有关黑洞时空的一些基本签名。我们定义了一个新的天体坐标，其起源是黑洞阴影的中心，以找到相对论图像。在旋转黑洞和观察者倾斜角度引起的拖动效应的影响下，主要和次级图像之间的相对位置与不同的Kerr Spin参数$ a $和观察者的倾斜角$ i $不同，因此可以用来确定$ a $ a $ a $ a $ $ $的值。我们提供了一种特定的方法来测量相对论图像的$ a $ a和$ i $的价值。主图像和次要图像之间的时间延迟与不同的$ A $和$ $不同。时间延迟与主要图像和次要图像之间的相对位置结合使用，可以使我们能够更精确地衡量$ a $ a a $ a和$ i $的值。这些相对论的图像与黑洞时空的指纹一样独特，通过它们可以进一步确定各种紧凑型物体的其他参数并验证各种重力理论。我们的结果为黑洞物理和天体物理学研究中实施参数估计提供了一种新方法。
We studied the relativistic images caused by strong gravitational lensing in Kerr black hole images, which carry some essential signatures about the black hole space-time. We defined a new celestial coordinates whose origin is the center of black hole shadow to locate the relativistic images. Under the influences of the dragging effect caused by rotating black hole and the inclination angle of observer, the relative positions between the primary and secondary images are different with the different Kerr spin parameter $a$ and the observer's inclination angle $i$, so it can be used to determine the value of $a$ and $i$. We provided the specific approach to measure the value of $a$ and $i$ by the relativistic images. The time delays between the primary and secondary images are different with the different $a$ and $i$. The time delays in conjunction with the relative positions between the primary and secondary images could allow us to measure the value of $a$ and $i$ more precisely. These relativistic images are as unique as fingerprints for black hole space-time, by which one can further determine other parameters of all kinds of compact objects and verify various theories of gravity. Our results provide a new method to implement parameter estimation in the study of black hole physics and astrophysics.
