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

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Adopting the Pöschl 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 hole spacetimes is nonlinear, which becomes more complex than that in the Reissner Nordström black-hole spacetime.

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