Quantization of rotating linear dilaton black holes

TL;DR

This paper investigates the quantization of rotating linear dilaton black holes in a non-asymptotically flat spacetime, deriving discrete, equidistant entropy and area spectra using quasinormal modes.

Contribution

It provides a novel analysis of the quantum spectra of RLDBHs, showing spectra are independent of rotation parameter despite QNM modulation.

Findings

Discrete and equidistant entropy spectra

Discrete and equidistant area spectra

Spectra are independent of the rotation parameter

Abstract

In this paper, we focus on the quantization of $4-$dimensional rotating linear dilaton black hole (RLDBH) spacetime describing an action, which emerges in the Einstein-Maxwell-Dilaton-Axion (EMDA) theory. RLDBH spacetime has a non-asymptotically flat (NAF) geometry. When the rotation parameter " $a$" vanishes, the spacetime reduces to its static form, the so-called linear dilaton black hole (LDBH) metric. Under scalar perturbations, we show that the radial equation reduces to a hypergeometric differential equation. Using the boundary conditions of the quasinormal modes (QNMs), we compute the associated complex frequencies of the QNMs. In a particular case, QNMs are applied in the rotational adiabatic invariant quantity, and we obtain the quantum entropy/area spectra of the RLDBH. Both spectra are found to be discrete and equidistant, and independent of $a-$parameter despite the modulation of QNMs by this parameter.