Asymptotic quasinormal modes of a coupled scalar field in the Gibbons-Maeda dilaton spacetime

Details Asymptotic quasinormal modes of a coupled scalar field in the Gibbons-Maeda dilaton spacetime Asymptotic quasinormal modes of a coupled scalar field in the Gibbons-Maeda dilaton spacetime

2005-11-18

arxiv.org/abs/gr-qc/0511106v1

Class.Quant.Grav. 22 (2005) 2159-2165

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 1 figure

Scientific paper

10.1088/0264-9381/22/11/016

Adopting the monodromy technique devised by Motl and Neitzke, we investigate analytically the asymptotic quasinormal frequencies of a coupled scalar field in the Gibbons-Maeda dilaton spacetime. We find that it is described by $ e^{\beta \omega}=-[1+2\cos{(\frac{\sqrt{2\xi+1}}{2} \pi)}]-e^{-\beta_I \omega}[2+2\cos{(\frac{\sqrt{2\xi+1}}{2}\pi)}]$, which depends on the structure parameters of the background spacetime and on the coupling between the scalar and gravitational fields. As the parameters $\xi$ and $\beta_I$ tend to zero, the real parts of the asymptotic quasinormal frequencies becomes $T_H\ln{3}$, which is consistent with Hod's conjecture. When $\xi={91/18} $, the formula becomes that of the Reissner-Nordstr\"{o}m spacetime.

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