论文标题
夸张的对称黑洞的测量学
Geodesics of the hyperbolically symmetric black hole
论文作者
论文摘要
我们进行了一项系统的研究,该研究对度上对称黑洞的内部区域内的测试颗粒运动的运动。编写和分析地理方程。获得的结果与球形对称情况获得的相应结果形成鲜明对比。发现测试粒子在地平线内经历了排斥力,这使它们阻止了它们到达中心。对于径向移动的颗粒以及在$θ-r $子空间中移动的颗粒获得了这些结果。为了补充我们的研究,我们计算了沿圆形路径(非对位)移动的陀螺仪的进动。我们获得陀螺仪的进动在旋转框架中是逆行的,与靠近地平线的进动($ r = 2m+ε$)不同,在施瓦茨柴尔德时空(正向)。
We carry out a systematic study on the motion of test particles in the region inner to the horizon of a hyperbolically symmetric black hole. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the spherically symmetric case. It is found that test particles experience a repulsive force within the horizon, which prevents them to reach the center. These results are obtained for radially moving particles as well as for particles moving in the $θ-R$ subspace. To complement our study we calculate the precession of a gyroscope moving along a circular path (non--geodesic) within the horizon. We obtain that the precession of the gyroscope is retrograde in the rotating frame, unlike the precession close to the horizon ($R=2m+ε$) in the Schwarzschild spacetime, which is forward.