中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1184-1188.doi: 10.1088/1674-1056/17/4/006

• GENERAL • 上一篇    下一篇

Influence of dark energy on time-like geodesic motion in Schwarzschild spacetime

陈菊华, 王永久   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2007-04-26 修回日期:2007-10-22 出版日期:2008-04-20 发布日期:2008-04-20
  • 基金资助:
    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).

Influence of dark energy on time-like geodesic motion in Schwarzschild spacetime

Chen Ju-Hua(陈菊华)† and Wang Yong-Jiu(王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2007-04-26 Revised:2007-10-22 Online:2008-04-20 Published:2008-04-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: dark energy, effective potential, time-like geodesic motion

中图分类号:  (Spacetime topology, causal structure, spinor structure)

  • 04.20.Gz
04.20.Jb (Exact solutions) 04.25.-g (Approximation methods; equations of motion) 04.70.-s (Physics of black holes) 95.36.+x (Dark energy)