https://doi.org/10.1140/epjc/s10052-025-13867-x
Regular Article - Theoretical Physics
Instability analysis of massive static phantom wormholes via the spectral method
1
Mathematics Department, Khalifa University of Science and Technology, PO Box 127788, Abu Dhabi, United Arab Emirates
2
Causal Dynamics Pty Ltd, Perth, Australia
Received:
25
November
2024
Accepted:
24
January
2025
Published online:
5
February
2025
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.
© The Author(s) 2025
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