Dirac Quasinormal Modes of a Schwarzschild Black Hole surrounded by Free Static Spherically Symmetric Quintessence
ZHANG Yu1,2,3, WANG Chun-Yan2, GUI Yuan-Xing2, WANG Fu-Jun2, YU Fei2
1Department of Applied Mathematics, Dalian University of Technology, Dalian 1160242School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 1160243Department of Physics, Bohai University, Jinzhou 121013
Dirac Quasinormal Modes of a Schwarzschild Black Hole surrounded by Free Static Spherically Symmetric Quintessence
ZHANG Yu1,2,3, WANG Chun-Yan2, GUI Yuan-Xing2, WANG Fu-Jun2, YU Fei2
1Department of Applied Mathematics, Dalian University of Technology, Dalian 1160242School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 1160243Department of Physics, Bohai University, Jinzhou 121013
摘要We evaluate the quasinormal modes of massless Dirac perturbation in a Schwarzschild black hole surrounded by the free static spherically symmetric quintessence using the third-order Wentzel-Kramers-Brillouin (WKB) approximation. The result shows that the massless Dirac field damps more slowly due to the presence of quintessence. The real part of the quasinormal modes increases and the absolute value of the imaginary part increases when the state parameter wq increases. In other words, the massless Dirac field decays more rapidly for the larger wq. The peak value of potential barrier becomes higher as |k| increases and the location of peak moves along the right for fixed wq.
Abstract：We evaluate the quasinormal modes of massless Dirac perturbation in a Schwarzschild black hole surrounded by the free static spherically symmetric quintessence using the third-order Wentzel-Kramers-Brillouin (WKB) approximation. The result shows that the massless Dirac field damps more slowly due to the presence of quintessence. The real part of the quasinormal modes increases and the absolute value of the imaginary part increases when the state parameter wq increases. In other words, the massless Dirac field decays more rapidly for the larger wq. The peak value of potential barrier becomes higher as |k| increases and the location of peak moves along the right for fixed wq.
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2009, Vol. 26 
