A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
Davide Batic, Denys Dutykh

TL;DR
This paper develops a new spectral method to accurately analyze quasinormal modes of Morris-Thorne wormholes, correcting past inaccuracies and improving boundary condition formulations for scalar, electromagnetic, and gravitational perturbations.
Contribution
It introduces a novel spectral technique that unifies and advances the analysis of QNMs in wormhole spacetimes, addressing previous methodological limitations.
Findings
Corrected inaccuracies in existing QNM literature.
Demonstrated the effectiveness of the new spectral method.
Enhanced boundary condition formulation at the wormhole throat.
Abstract
In this paper, we undertake a comprehensive examination of quasinormal modes (QNMs) linked to Morris-Thorne, also known as Bronnikov-Ellis wormholes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Our research corrects inaccuracies previously reported in the literature and addresses areas where the Wentzel--Kramers--Brillouin (WKB) approximation proves inadequate. Moreover, we introduce and evaluate a novel spectral technique designed to consolidate recent advancements in formulating QNM boundary conditions at both the wormhole throat and space-like infinity. This innovative approach bridges critical gaps in existing methodologies and enhances the accuracy and applicability of QNM analysis in the study of wormhole physics.
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