Abstract In this paper we investigate the gravitational frequency-shift and deflection of light in the Schwarzschild black hole space-time surrounded by quintessence. With the analytical and numerical methods, we find that the gravitational frequency-shift of light in the Schwarzschild black hole space-time surrounded by the quintessence increases as the values of the normalization factor $c$ increases, but the gravitational frequency-shift of light decreases with the quintessential state parameter $ \omega_{\rm q}$ increasing. We also calculate the deflection of light by quintessence and find that the deflection rate decreases as the values of the quintessential parameters $c$ and $ \omega_{\rm q}$ increase.
Fund: Project supported by the State Key
Development Program for Basic Research of China (Grant No
2003CB716300), the National Natural Science Foundation of China
(Grant No 10547114) and the Scientific Research Fund of Hunan
Provincial Education Department, Chi
Cite this article:
Chen Ju-Hua(陈菊华) and Wang Yong-Jiu(王永久) Gravitational frequency-shift and deflection of light by quintessence 2007 Chinese Physics 16 3212
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