On instability of Rubakov-Shaposhnikov model
George Lavrelashvili
TL;DR
This paper reexamines the stability of the 6D Rubakov-Shaposhnikov model, revealing a unique pattern of scalar perturbation instability where only higher angular modes exhibit negative modes.
Contribution
It provides a detailed analysis showing that the model's instability is confined to higher angular harmonics, with no unstable modes for the lowest two harmonics.
Findings
No unstable modes for m=0 and m=1 harmonics.
Presence of a single negative mode for each higher m.
The instability pattern is highly specific to angular harmonic modes.
Abstract
Instability of 6 dimensional Rubakov-Shaposhnikov model is reinvestigated. It is shown that the model is unstable in scalar perturbations sector with very particular instability pattern: there are no unstable modes for the first two lowest angular harmonics, m=0 and m=1, whereas there is a single negative mode for each higher m.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Fluid Dynamics and Turbulent Flows