Scalar Clouds and Quasinormal Modes

TL;DR

This thesis uses Maggiore's method to analyze the quantization of entropy and area spectra of various black holes through quasinormal modes, revealing equally spaced spectra independent of black hole parameters.

Contribution

It introduces the use of boxed quasinormal modes and resonance modes to study black hole spectra, extending Maggiore's method to new black hole geometries.

Findings

Entropy and area spectra are equally spaced.

Spectra are independent of black hole parameters.

Resonance modes are computed for caged black holes.

Abstract

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.