Asymptotic quasinormal modes of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime

TL;DR

This paper analytically investigates the asymptotic quasinormal frequencies of a coupled scalar field in Garfinkle-Horowitz-Strominger dilaton spacetime, revealing dependence on spacetime parameters and coupling, and confirming Hod's conjecture in the minimal coupling case.

Contribution

It provides the first analytic derivation of asymptotic quasinormal frequencies for a coupled scalar field in this specific dilaton spacetime using the monodromy technique.

Findings

Frequencies depend on spacetime structure and coupling.

Real parts match Hod's conjecture only in minimal coupling case.

Results extend understanding of quasinormal modes in dilaton black holes.

Abstract

The analytic forms of the asymptotic quasinormal frequencies of a coupled scalar field in the Garfinkle-Horowitz-Strominger dilaton spacetime is investigated by using the monodromy technique proposed by Motl and Neitzke. It is found that the asymptotic quasinormal frequencies depend not only on the structure parameters of the background spacetime, but also on the coupling between the scalar fields and gravitational field. Moreover, our results show that only in the minimal couple case, i.e., $\xi$ tends zero, the real parts of the asymptotic quasinormal frequencies agrees with the Hod's conjecture, $T_H\ln{3}$.