Stability analysis of dynamic thin shells
By Francisco S. N. Lobo, P. Crawford. 2005
160 citations recorded by the source corpus.
We analyse 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.
Subfields: Astronomy and Astrophysics, Computational Theory and Mathematics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a9f930d037e1cd0c1e5f2f80cf835bf364df1d4d
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In Astronomy and Astrophysics
- Francisco S. N. Lobo
- Tiberiu Harko
- P. Crawford
- Salvatore Capozziello
- S. D. Maharaj
- Sergei D. Odintsov
- Shin'ichi Nojiri
- G. Olmo
In Computational Theory and Mathematics
In Nuclear and High Energy Physics
- Francisco S. N. Lobo
- Tiberiu Harko
- P. Crawford
- Salvatore Capozziello
- Sergei D. Odintsov
- Shin'ichi Nojiri
Citations in the corpus
- Stable dark energy stars (2005, background): “In the specific cases that follow, the explicit form of Ω is extremely messy, so that as in [38, 39], we find it more instructive to show the stability regions graphically.”
- Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes (2007, methodology): “[210], where the stability of generic spherically symmetric thin shells to linearized perturbations around static solutions were considered, and applying the analysis to traversable wormhole geometries, by considering specific choices for the form function, the stability regions were deduced.”