论文标题
稳定的圆形轨道在高维多黑孔空间中
Stable circular orbits in higher-dimensional multi-black hole spacetimes
论文作者
论文摘要
我们考虑了颗粒的动力学，特别是专注于高维Majumdar-Papapetou（MP）空间的圆形轨道，并具有两个相等的质量黑洞。众所周知，在5D Schwarzschild-Tangherlini和Myers-Perry背景中，没有稳定的圆形轨道。相比之下，我们表明，在5D MP背景中，当两个黑洞的分离足够大时，始终存在稳定的圆形轨道。更确切地说，对于大分离，从地平线附近到无穷大的稳定圆形轨道存在。对于一个中等，它们仅出现在一个有限的区域中，该区域由最内向的圆形轨道和地平线外最外面的稳定圆轨道界定。对于一个小的，它们根本没有出现。此外，我们表明，在超过5D的MP空间中，它们不存在任何分离。
We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and Myers-Perry backgrounds, there are no stable circular orbits. In contrast, we show that in the 5D MP background, stable circular orbits can always exist when the separation of two black holes is large enough. More precisely, for a large separation, stable circular orbits exist from the vicinity of horizons to infinity; for a medium one, they appear only in a certain finite region bounded by the innermost stable circular orbit and the outermost stable circular orbit outside the horizons; for a small one, they do not appear at all. Moreover, we show that in MP spacetimes in more than 5D, they do not exist for any separations.
