论文标题
测试颗粒的内部结构和圆形轨道
Internal structures and circular orbits for test particles
论文作者
论文摘要
我们探讨了测试粒子的内部结构如何影响其赤道稳定的稳定圆形轨道，它们在Kerr黑洞周围具有或没有宇宙常数。为此，我们首先在极二杆 - 四极管近似中明确编写运动粒子的运动方程，将四极动量张量指定为自旋诱导的模型。然后，我们计算稳定圆形轨道上的颗粒的特征数量 - 半径，角动量，能量，角速度和冲击参数。一旦采取了极二极 - 四极的近似值，我们发现对于最内向的稳定圆形轨道上的粒子，除角速度以外的所有特征量相对于杆偶极子病例而变得更大。相反，对于最外面稳定的圆形轨道上的粒子，仅在时空背景是渐近的de Sitter的情况下，它才存在，正是半径变小，而所有其他数量都变得更大。
We explore how the internal structure of a test particle affects its equatorial stable circular orbits around the Kerr black hole with or without a cosmological constant. To this end, we first explicitly write equations of motion for a test particle in the pole-dipole-quadrupole approximation specifying the quadrupole momentum tensor to a spin-induced model. Then we calculate characteristic quantities -- radius, angular momentum, energy, angular velocity, and impact parameter -- for the particles on the stable circular orbits. Once the pole-dipole-quadrupole approximation is taken, we find that for a particle on an innermost stable circular orbit, all characteristic quantities, except the angular velocity, become greater relative to the pole-dipole case. In contrast, for a particle on an outermost stable circular orbit, which only exists in the case of the spacetime background being asymptotically de Sitter, it is the radius that becomes smaller while all other quantities become greater.
