Quasinormal mode characterization of evaporating mini black holes

TL;DR

This paper models evaporating mini black holes using an n-dimensional Vaidya metric, analyzing their quasinormal modes to understand their evaporation process and potential observational signatures.

Contribution

It introduces a novel model for decaying mini black holes and studies their quasinormal modes during evaporation, linking perturbation spectra to black hole parameters and extra dimensions.

Findings

Quasinormal modes break stationarity at late evaporation stages.

Perturbation spectra encode black hole parameters and extra dimensions.

Final fate of black holes does not significantly affect main results.

Abstract

According to recent theoretical developments, it might be possible to produce mini black holes in the high energy experiments in the LHC at CERN. We propose here a model based on the $n$-dimensional Vaidya metric in double null coordinates for these decaying black holes. The associated quasinormal modes are considered. It is shown that only in the very last instants of the evaporation process the stationary regime for the quasinormal modes is broken, implying specific power spectra for the perturbations around these mini black-holes. From scattered fields one could recover, in principle, the black hole parameters as well as the number of extra dimensions. The still mysterious final fate of such objects should not alter significantly our main conclusions.