Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole

Abstract

We investigate the quasinormal modes and area/ entropy spectrum for the noncommutative BTZ black hole. The exact expressions for QNM frequencies are presented by expanding the noncommutative parameter in horizon radius. We find that the noncommutativity does not affect conformal weights (h L , h R ), but it influences the thermal equilibrium. The intuitive expressions of the area/entropy spectrum are calculated in terms of Bohr-Sommerfeld quantization, and our results show that the noncommutativity leads to a nonuniform area/entropy spectrum. We also find that the coupling constant ξ , which is the coupling between the scalar and the gravitational fields, shifts the QNM frequencies but not influences the structure of area/entorpy spectrum.

Quasinormal Spectrum of (2+1)$(2+1)$‐Dimensional Asymptotically Flat, dS and AdS Black Holes

“…At the same time, numerious works on quasinormal modes of BTZ-like black holes [36][37][38][39][40][41][42][43] did not include higher curvature corrections and were mainly devoted to asymptotically AdS spacetimes.…”

Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model

“…One of the appropriate methods to compute the QNM is the WKB approximation [50,51], which is a semi-analytic technique. This method was also studied within the different contexts such as the AdS/CFT correspondence [52][53][54], the black hole spectroscopy, the black hole quantization [55][56][57], and quantum singularity of black holes, in particular for the rotating ones such as the Kerr black hole [58][59][60].…”

Greybody Radiation and Quasinormal Modes of Kerr-like Black Hole in Bumblebee Gravity Model

“…the black hole spectroscopy, the black hole quantization [55][56][57], and quantum singularity of black holes, in particular for the rotating ones such as the Kerr black hole [58][59][60].…”