Regular Article - Theoretical Physics
Massless scalar field quasi-normal frequencies of Schwarzschild black hole in the quintessence background
School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, Shandong, 266061, China
Revised: 21 July 2013
Published online: 21 September 2013
We evaluate the massless scalar field quasi-normal frequencies of Schwarzschild black hole in the quintessence background, using the third-order WKB approximation method. Results show that quintessence decreases the oscillation frequency while increases the damping time of the scalar field. Moreover, with the increase of the quintessential state parameter ω q (the ratio of the pressure to the energy density), the imaginary parts’ absolute values of the quasi-normal frequencies increase monotonously. This indicates that the scalar field decays more rapidly in the larger ω q quintessence state, which agrees with the cases of other perturbation fields for black holes in the quintessence background. For the special case of SdS black hole (ω q =−1), the oscillation frequency and the damping rate increase with the decrease of the normalization factor c (corresponding to the cosmological constant Λ in SdS black hole).
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013