Instability analysis of massive static phantom wormholes via the spectral method

Abstract Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QNMs that were not identified in previous studies, suggesting potential (in)stabilities as the ratio of the Schwa...

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Main Authors: Davide Batic, Denys Dutykh
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13867-x
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author Davide Batic
Denys Dutykh
author_facet Davide Batic
Denys Dutykh
author_sort Davide Batic
collection DOAJ
description Abstract Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QNMs that were not identified in previous studies, suggesting potential (in)stabilities as the ratio of the Schwarzschild radius to the wormhole throat varies within a specific range. For scalar perturbations, instabilities arise when this ratio exceeds 1.0, with the threshold value of 1.0 itself included. In the case of axial perturbations, the onset of instability occurs at smaller ratios, reflecting the impact of gravitational waves on the wormhole’s stability. The findings suggest that the wormhole remains stable when the throat size significantly exceeds the Schwarzschild radius. Our results align with existing literature but offer new insights into the stability conditions of phantom wormholes.
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institution Kabale University
issn 1434-6052
language English
publishDate 2025-02-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-b713bcd1b8b74a939756eb0bad1218fa2025-02-09T12:51:40ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211010.1140/epjc/s10052-025-13867-xInstability analysis of massive static phantom wormholes via the spectral methodDavide Batic0Denys Dutykh1Mathematics Department, Khalifa University of Science and TechnologyMathematics Department, Khalifa University of Science and TechnologyAbstract Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QNMs that were not identified in previous studies, suggesting potential (in)stabilities as the ratio of the Schwarzschild radius to the wormhole throat varies within a specific range. For scalar perturbations, instabilities arise when this ratio exceeds 1.0, with the threshold value of 1.0 itself included. In the case of axial perturbations, the onset of instability occurs at smaller ratios, reflecting the impact of gravitational waves on the wormhole’s stability. The findings suggest that the wormhole remains stable when the throat size significantly exceeds the Schwarzschild radius. Our results align with existing literature but offer new insights into the stability conditions of phantom wormholes.https://doi.org/10.1140/epjc/s10052-025-13867-x
spellingShingle Davide Batic
Denys Dutykh
Instability analysis of massive static phantom wormholes via the spectral method
European Physical Journal C: Particles and Fields
title Instability analysis of massive static phantom wormholes via the spectral method
title_full Instability analysis of massive static phantom wormholes via the spectral method
title_fullStr Instability analysis of massive static phantom wormholes via the spectral method
title_full_unstemmed Instability analysis of massive static phantom wormholes via the spectral method
title_short Instability analysis of massive static phantom wormholes via the spectral method
title_sort instability analysis of massive static phantom wormholes via the spectral method
url https://doi.org/10.1140/epjc/s10052-025-13867-x
work_keys_str_mv AT davidebatic instabilityanalysisofmassivestaticphantomwormholesviathespectralmethod
AT denysdutykh instabilityanalysisofmassivestaticphantomwormholesviathespectralmethod