论文标题
反射对称性与赤道圆轨道的存在之间的可能连接
Possible connection between the reflection symmetry and existence of equatorial circular orbit
论文作者
论文摘要
我们研究了在一般相对论中真空固定轴对称时空的赤道平面上的圆形赤道轨道和反射对称之间的可行联系。研究了垂直于赤道平面方向的圆形赤道轨道的行为，并在存在和不存在反射对称性的情况下进行了不同的结果。我们得出的结论是，在没有赤道反射对称性的情况下，赤道平面上既不存在稳定或不稳定的圆轨道。此外，为了解决观察方面，我们提供了两个可能的示例，这些示例与引力波天文学和薄积聚盘可以对对称性破坏参数施加约束。
We study a viable connection between the circular-equatorial orbits and reflection symmetry across the equatorial plane of a vacuum stationary axis-symmetric spacetime in general relativity. The behavior of the circular equatorial orbits in the direction perpendicular to the equatorial plane is studied, and different outcomes in the presence and in the absence of the reflection symmetry are discussed. We conclude that in the absence of the equatorial reflection symmetry neither stable nor unstable circular orbit can exist on the equatorial plane. Moreover, to address the observational aspects, we provide two possible examples relating gravitational wave astronomy and the thin accretion disk which can put constraints on the symmetry breaking parameters.
