Quasinormal modes of five-dimensional black holes in non-commutative geometry
Grigoris Panotopoulos, \'Angel Rinc\'on
TL;DR
This paper calculates the quasinormal mode spectrum of five-dimensional noncommutative black holes using WKB approximation, analyzing stability and effects of scalar field parameters.
Contribution
It provides the first detailed analysis of scalar quasinormal modes for five-dimensional noncommutative black holes, including stability and parameter effects.
Findings
All modes are stable.
Scalar field mass, angular degree, and overtone influence the spectrum.
The 6th order WKB approximation effectively captures the quasinormal frequencies.
Abstract
We compute the spectrum of quasinormal frequencies of five-dimensional black holes obtained in noncommutative geometry. In particular, we study scalar perturbations of a massive scalar field adopting the 6th order WKB approximation. We investigate in detail the impact of the mass of the scalar field, the angular degree and the overtone number on the spectrum. All modes are found to be stable.
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