Abstract

We study massive charged scalar field perturbations in four- and five- dimensional charged anti-de Sitter soliton spacetimes. Appropriate boundary conditions are established via a local analysis of the perturbation equations. The normal mode spectra are then calculated numerically using the Horowitz-Hubeny method and a collocation method. We reveal scaling laws and asymptotic behaviors governing the normal mode spectra. The reality of the normal mode frequencies indicates the dynamic stability of the soliton, which in turn provides support for the positive energy conjecture in asymptotically locally anti-de Sitter spacetime.

Details

Title
Normal modes of charged AdS solitons
Author
Lu, Mengqi 1   VIAFID ORCID Logo  ; Zhang, Ming 2   VIAFID ORCID Logo  ; Mann, Robert B. 3   VIAFID ORCID Logo 

1  University of Waterloo, Department of Physics and Astronomy, Waterloo, Canada (GRID:grid.46078.3d) (ISNI:0000 0000 8644 1405) 
2  University of Waterloo, Department of Physics and Astronomy, Waterloo, Canada (GRID:grid.46078.3d) (ISNI:0000 0000 8644 1405); Perimeter Institute for Theoretical Physics, Waterloo, Canada (GRID:grid.420198.6) (ISNI:0000 0000 8658 0851); Jiangxi Normal University, Department of Physics, Nanchang, China (GRID:grid.411862.8) (ISNI:0000 0000 8732 9757) 
3  University of Waterloo, Department of Physics and Astronomy, Waterloo, Canada (GRID:grid.46078.3d) (ISNI:0000 0000 8644 1405); Perimeter Institute for Theoretical Physics, Waterloo, Canada (GRID:grid.420198.6) (ISNI:0000 0000 8658 0851) 
Pages
118
Publication year
2025
Publication date
Dec 2025
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP12(2025)118
ProQuest document ID
3284387501
Copyright
© The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.