Dirac quasinormal modes of the Garfinkle-Horowitz-Strominger dilaton black-hole spacetime

作者:Chen, SB*; Jing, JL
来源:Classical and Quantum Gravity, 2005, 22(6): 1129-1141.
DOI:10.1088/0264-9381/22/6/014

摘要

Adopting the Poschl-Teller potential approximation, the quasinormal frequencies of the massless Dirac fields are evaluated in the Garfinkle-Horowitz-Strominger dilaton black-hole spacetime. We find that the real parts of the quasinormal frequencies increase as the orbital angular momentum k or a increases, where a is a parameter related to the dilaton field. The magnitude of imaginary parts decreases with k for the fixed a and overtone number n, while for fixed k and n, it is not a monotonic function of a and has a maximum at a point near a = 1.4-1.6, where the waves decay most rapidly. Another interesting feature is that the imaginary parts tend to zero and the real parts to k/2 as a approaches 2. We also find that the variation of the imaginary parts with the real parts in the Garfinkle-Horowitz-Strominger dilaton bole spacetimes is nonlinear, which becomes more complex than that in the Reissner-Nordstrbm black-hole spacetime.