论文标题
轴向对称空间时间中测量运动的所有分析解决方案
All analytic solutions for geodesic motion in axially symmetric space-times
论文作者
论文摘要
最近观察到围绕Sgr $ a^\ star $的星形簇的轨道，黑洞的成像和合并紧凑型物体的重力波形需要详细了解一般相对论的地球运动。我们提出了一种在轴向对称时空中提供所有可能的测量学的方法。明确处理了Kerr公制，以静态极限恢复Schwarzschild Geodesics。我们还发现了最一般的杀伤量及其与轴对称时空相关的运动常数。这些结果的相关性对于理解银河中心紧凑型物体的不同情况和基本性质至关重要。
Recent observations of the orbits of star clusters around Sgr $A^\star$, imaging of black holes and gravitational waveforms of merging compact objects require a detailed understanding of the general relativistic geodesic motion. We came up with a method to provide all the possible geodesics in an axially symmetric space-time. The Kerr metric is explicitly worked out, recovering the Schwarzschild geodesics in the static limit. We also found the most general Killing tensor and its associated constant of motion for an axisymmetric space-time. The relevance of these results is crucial to understanding the different scenarios and the fundamental nature of the compact object at the galactic center.
