Time-Like Geodesic Motion in Schwarzschild Spacetime with Weak-Field Limit

We analyze the geodesic motion in Schwarzschild spacetime with the weak-field limit. We investigate all geodesic types of the test particle by solving the geodesic equation and analyzing the behavior of effective potential. At the same time, all kinds of orbits, which are allowed according to the en...

Full description

Saved in:
Bibliographic Details
Published in:Chinese physics letters 2015-08, Vol.32 (8), p.27-29
Main Authors: Zhang, Ruan-Jing, Chen, Ju-Hua, Gan, Qiao-Shan, Wang, Yong-Jiu
Format: Article
Language:English
Subjects:
Circular orbits
Computer simulation
Energy levels
Geodesy
Mathematical analysis
Mathematical models
Orbits
Potential energy
圆形轨道
弱场
时空
时间
极限
测地线方程
能量水平
运动
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We analyze the geodesic motion in Schwarzschild spacetime with the weak-field limit. We investigate all geodesic types of the test particle by solving the geodesic equation and analyzing the behavior of effective potential. At the same time, all kinds of orbits, which are allowed according to the energy level corresponding to the effective potential, are numerically simulated in detail. Then we discuss the effect of different parameters on the effective potential energy. We also find that the test particle falls rapidly along the fall-into orbit and the radius of stable （unstable） circular orbits become larger in the Schwarzschild spacetime with the weak-field limit than those in the Schwarzschild case.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/8/080401