Quasinormal modes of noncommutative geometry-inspired dirty black holes

TL;DR

This paper studies how noncommutative geometry-inspired modifications to black holes affect their quasinormal modes, revealing unique damping behaviors and potential observational signatures in gravitational waves.

Contribution

It introduces a spectral method to compute QNMs of dirty black holes with noncommutative effects, highlighting new damping modes and convergence to classical results.

Findings

Discovery of overdamped modes in near-extremal regimes

QNMs converge to Schwarzschild values for large masses

Noncommutative effects influence gravitational wave signatures

Abstract

We investigate the quasinormal modes (QNMs) of noncommutative geometry-inspired dirty black holes, focusing on both non-extremal and extremal configurations. These gravitational objects, characterized by smeared energy distributions within a modified de Sitter-like equation of state, modify the classical Schwarzschild metric and regularize central singularities. We employ a spectral method based on Chebyshev polynomials to solve the eigenvalue problem for scalar, electromagnetic, and gravitational perturbations. Our results reveal new overdamped modes indicative of rapid decay without oscillation, particularly prominent in near-extremal and extremal regimes. Additionally, we establish that the QNMs converge to classical Schwarzschild values for large mass parameters, validating our method's robustness. Our findings highlight the impact of dirtiness and noncommutative effects on black hole QNM spectra, offering potential observational signatures for distinguishing these objects in gravitational-wave detections.