  In this thesis, Maggiore's method (MM), which evaluates the transition
frequency that appears in the adiabatic invariant from the highly damped
quasinormal mode frequencies (QNMFs), is used to investigate the entropy and
area spectra of the Garfinkle-Horowitz-Strominger black hole (GHSBH), the
four-dimensional Lifshitz black hole with zero dynamical exponent (ZZLBH), and
the rotating linear dilaton black hole (RLDBH), respectively. For studying the
GHSBH's quantization, instead of ordinary quasinormal modes (QNMs), the boxed
QNMs (BQNMs) that are the characteristic resonance spectra of the confined
scalar fields in the GHSBH geometry are computed. To this end, it is assumed
that the GHSBH has a confining mirror placed in the vicinity of its event
horizon. It is then shown how the complex resonance frequencies of this caged
black hole (BH) are computed considering the scalar perturbations around the
event horizon. Additionally, the resonance modes (RMs) and the RM frequencies
(RMFs) of the GHSBH are computed by using the confined scalar waves with high
azimuthal quantum number. The entropy and area quantizations are shown to be
independent of the GHSBH's parameters, however, both spectra are equally
spaced.
