Abstract In this paper we investigate the influence of the dark energy on the time-like geodesic motion of a particle in Schwarzschild spacetime by analysing the behaviour of the effective potential which appears in an equation of motion. For the non-radial time-like geodesics, we find a bound orbit when the particle energy is in an appropriate range, and also find another possible orbit, which is that the particle drops straightly into the singularity of a black hole or escapes to infinity. For the radial time-like geodesics, we find an unstable circular orbit when the particle energy is the critical value, in which case it is possible for the particle to escape to infinity.
Received: 26 April 2007
Revised: 22 October 2007
Accepted manuscript online:
Fund: Project supported by the State Key
Development Program for Basic Research Program of China (Grant No
2003CB716300) and the National
Natural Science Foundation of China (Grant No 10547114).
Cite this article:
Chen Ju-Hua(陈菊华) and Wang Yong-Jiu(王永久) Influence of dark energy on time-like geodesic motion in Schwarzschild spacetime 2008 Chin. Phys. B 17 1184
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