Non-spinning tops are stable

Abstract We consider coupled gravitational and electromagnetic perturbations of a family of five-dimensional Einstein-Maxwell solutions that describes both magnetized black strings and horizonless topological stars. We find that the odd perturbations of this background lead to a master equation with...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Iosif Bena, Giorgio Di Russo, Jose Francisco Morales, Alejandro Ruipérez
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Subjects:
Black Holes
Black Holes in String Theory
Online Access:https://doi.org/10.1007/JHEP10(2024)071
Description
Summary:Abstract We consider coupled gravitational and electromagnetic perturbations of a family of five-dimensional Einstein-Maxwell solutions that describes both magnetized black strings and horizonless topological stars. We find that the odd perturbations of this background lead to a master equation with five Fuchsian singularities and compute its quasinormal mode spectrum using three independent methods: Leaver, WKB and numerical integration. Our analysis confirms that odd perturbations always decay in time, while spherically symmetric even perturbations may exhibit for certain ranges of the magnetic fluxes instabilities of Gregory-Laflamme type for black strings and of Gross-Perry-Yaffe type for topological stars. This constitutes evidence that topological stars and black strings are classically stable in a finite domain of their parameter space.
ISSN:1029-8479

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