The asymptotic quasinormal modes of dilatonic black holes

We investigate highly damped quasinormal mode of dilatonic black holes motivated by its relation to loop quantum gravity. Using the WKB approximation, we show that the real part of the frequency approaches the value T-H In 3 for dilatonic black holes, as conjectured by Medved et al. and Padmanabhan. This is surprising since the area spectrum of the black hole determined by the Bohr's correspondence principle completely agrees with that of a Schwarzschild black hole for any values of the electromagnetic charge or the dilaton coupling. We discuss the generality of this result for single-horizon black holes and its meaning in loop quantum gravity.