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

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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 eβω=-[1+2(√2ξ+12 π)]-e⁻βⁱ ω[2+2(√2ξ+12π)], which depends on the structure parameters of the background spacetime and on the coupling between the scalar and gravitational fields. As the parameters ξ and βᵢ tend to zero, the real parts of the asymptotic quasinormal frequencies becomes Tₕ3, which is consistent with Hod's conjecture. When ξ=91/18, the formula becomes that of the Reissner-Nordström spacetime.