论文标题
在黑色弦天空中共享相同轨道频率的大地圆轨道
Geodesic circular orbits sharing the same orbital frequencies in the black string spacetime
论文作者
论文摘要
在这里，我们考虑了与$ω^{\ hat {r}} $，$ω^{\hatφ} $和$ω^{\hatφ} $和$ω^{\hatφ} $和$ω^{\ hathatΩ} $相关的相同三个轨道频率的等音配对。我们研究了由额外紧凑的空间维度对地球轨道的同频配对产生的效果，并表明当粒子沿黑色绳子移动时，这种轨道会在允许的区域中以圆柱状的方式发生并以圆柱状的方式变为。我们发现，由于额外的尺寸引起的效果导致地球轨道的同频配对的数量增加。我们还发现，在参数空间区域中的地球轨道的同频配对无法超出临界值$ j_ {cr} \约0.096 $，大约0.096 $，是由于黑色字符串给定参数的额外紧凑的空间尺寸而导致的运动数量。
Here we consider isofrequency pairing of geodesic orbits that share the same three orbital frequencies associated with $Ω^{\hat{r}}$, $Ω^{\hatφ}$, and $Ω^{\hatω}$ in a particular region of parameter space around black string spacetime geometry. We study the effect arising from the extra compact spatial dimension on the isofrequency pairing of geodesic orbits and show that such orbits would occur and become in a cylindrical manner in the allowed region as particles move along the black string. We find that the effect due to the extra dimension leads to an increase in the number of the isofrequency pairing of geodesic orbits. We also find that isofrequency pairing of geodesic orbits in the region of parameter space can not be realized beyond the critical value $J_{cr} \approx 0.096$ of the conserved quantity of the motion due to the extra compact spatial dimension for given parameters of the black string.
