Stability analysis of dynamic thin shells

Details Stability analysis of dynamic thin shells Stability analysis of dynamic thin shells

2005-07-14

arxiv.org/abs/gr-qc/0507063v2

Class.Quant.Grav. 22 (2005) 4869-4886

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 11 figures, LaTeX2e, IOP style files. V2: Comments and references added. This version to appear in Classical and Qua

Scientific paper

10.1088/0264-9381/22/22/012

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.

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