Spectroscopy of rotating linear dilaton black holes from boxed quasinormal modes

Abstract

Numerical studies of the coupled Einstein-Klein-Gordon system have recently revealed that confined scalar fields generically collapse to form caged black holes. In the light of this finding, we analytically study the characteristic resonance spectra of the confined scalar fields in rotating linear dilaton black hole geometry. Confining mirrors (cage) are assumed to be placed in the near-horizon region of a caged rotating linear dilaton black hole rm−r 2 r 2 ≪ 1 (rm is the radius of the cage and r2 represents the event horizon). The radial part of the Klein-Gordon equation is written as a Schrödinger-like wave equation, which reduces to a Bessel differential equation around the event horizon. Using analytical tools and proper boundary conditions, we obtain the boxed-quasinormal mode frequencies of the caged rotating linear dilaton black hole. Finally, we employ Maggiore's method, which evaluates the transition frequency in the adiabatic invariant quantity from the highly damped quasinormal modes, in order to investigate the entropy/area spectra of the rotating linear dilaton black hole.

Analytical solutions in rotating linear dilaton black holes: Resonant frequencies, quantization, greybody factor, and Hawking radiation

“…(75) that the first term represents the outgoing wave while the second term stands for the ingoing wave. Comparing the asymptotic solutions (72) and (74), one can get the following relationships between the coefficients…”

“…The experiments [64][65][66][67] on dilaton and axion fields that naturally exist in the RLDBH geometry may vindicate the dark matter in the near future. At the present time, the studies for the RLDBH [68][69][70][71][72][73][74] in the literature are relatively less than the studies that exist for static linear dilaton black holes [74][75][76][77][78][79][80][81]. In particular, for the problems of absorption cross-section and decay rate for the massless and chargeless bosons emitted by a RLDBH, the reader is referred to [73].…”

Quasinormal modes of charged fermions in linear dilaton black hole spacetime: exact frequencies

“…One of the most important features to know about QNMs is that they allow us to analyze the quantum entropy/area spectrum of the BHs. In this regard, the reader is referred to [42][43][44][45][46][47][48] and references therein.…”

Spectroscopy of stringy black hole

“…To obtain ∆ω, Maggiore [12] embraced the BH as a damped harmonic oscillator having a characteristic frequency in the form of ω = ω 2 R + ω 2 I [17,18] was the first physicist who considered the quasinormal modes (QNMs) or the so-called ringing modes for computing ∆ω and hence obtaining I adb . Then, many studies have used the MM to test the Bekenstein's conjecture for various BH solutions (see for instance [19,20,21,22,23,24,25,26,27,28]). Today, there are several methods to compute the QNMs, such as the WKB method, the phase integral method, continued fractions and direct integrations of the wave equation in the frequency domain [29].…”