Stability analysis of dynamic thin shells
arXiv:gr-qc/0507063 · doi:10.1088/0264-9381/22/22/012
Abstract
We analyze the stability of generic spherically symmetric thin shells to linearized perturbations around static solutions. We include the momentum flux term in the conservation identity, deduced from the ''ADM'' constraint and the Lanczos equations. Following the Ishak-Lake analysis, we deduce a master equation which dictates the stable equilibrium configurations. Considering the transparency condition, we study the stability of thin shells around black holes, showing that our analysis is in agreement with previous results. Applying the analysis to traversable wormhole geometries, by considering specific choices for the form function, we deduce stability regions, and find that the latter may be significantly increased by considering appropriate choices for the redshift function.
19 pages, 11 figures, LaTeX2e, IOP style files. V2: Comments and references added. This version to appear in Classical and Quantum Gravity
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