论文标题
通过红移的Schwarzschild黑洞附近的恒星运动重建
Reconstruction of a star motion in the vicinity of a Schwarzschild black hole by redshift of the spectrum
论文作者
论文摘要
我们研究了电磁辐射频谱的红移时间演变，该辐射是由恒星发出的，该恒星在超级质量黑洞附近移动。对于Schwarzschild Black Hole的情况，我们完全以相对论的一般理论解决了这个问题。另外，我们制定了一种方法，该方法提供了解决反问题的可能性：使用红移数据在黑洞附近重建恒星运动的运动。这种方法包括两个步骤。第一步提供了通过非线性方程系统的解决方案而不是直接应用标准统计方法来找到恒星运动积分的独特解决方案的可能性。为此，我们考虑了连接源头和观察者全球的各向同性大地测量学的一致性的特性。第二步是应用标准最小二乘法以获得更准确的解决方案。这种方法用于我们银河系中心附近的恒星的数值模型。
We investigate the time evolution of the redshift of the spectrum of electromagnetic radiation that is emitted by the star that moves in the vicinity of supermassive black hole. For the case of Schwarzschild black hole we solve this problem exactly in General Theory of Relativity. Also we formulate an approach that gives possibilities to solve the inverse problem: reconstruction of motion of a star in the vicinity of black hole using the redshift data. This approach consists of two steps. The first step gives possibilities to find unique solution for the integrals of motion of the star by solution of a system of non-linear equations, rather than the direct application of standard statistical methods. For this purpose we consider properties of congruences of isotropic geodesics that connect of the worldline of the source and the worldline of the observer. The second step is the application of standard least squares method in order to obtain more accurate solution. This approach is used on the numerical model of the star in the vicinity of the Center of our Galaxy.
