论文标题

改进的Schwarzschild Black Hole附近的地球运动动作

Geodesic Motions near an improved Schwarzschild black hole

论文作者

Mandal, Surajit

论文摘要

在本文中,我们研究了改进的Schwarzschild Black Hole附近的时机和无效的粒子。已经绘制了失误功能,发现只有一个视野。已经计算了运动粒子的运动方程和有效潜力。该方程在研究径向自由下落和研究径向轨道(轨迹)的稳定性方面至关重要。还已经计算了能量和角动量,以分析圆形轨道的cic骨运动和稳定性。此外,最内向的稳定圆形轨道半径已确定。为了更深入了解这些轨迹的性质,我们在动态系统方法的帮助下研究了及时的和无效的大地测量学。该分析有助于我们确定稳定性以及相空间轨迹的固定点。

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective potential of test particle have been calculated. This equation has an importance in studying the radial free fall and in studying the stability of radial orbits (trajectories). The energy and angular momentum have also been calculated to analysis the cicrular motion and stability of circular orbits. Moreover, Innermost stable circular orbit radius has determined. To get a deeper insight of the nature of these trajectories, we have studied the timelike and null geodesics with the help of the dynamical systems approach. This analysis help us to determine the stability as well as fixed point of phase space trajectories.

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