Linearized stability analysis of thin-shell wormholes with a cosmological constant

By Francisco S. N. Lobo, P. Crawford. 2003

236 citations recorded by the source corpus.

Spherically symmetric thin-shell wormholes in the presence of a cosmological constant are constructed applying the cut-and-paste technique implemented by Visser. Using the Darmois–Israel formalism the surface stresses, which are concentrated at the wormhole throat, are determined. This construction allows us to apply a dynamical analysis to the throat, considering linearized radial perturbations around static solutions. For a large positive cosmological constant, i.e., for the Schwarzschild–de Sitter solution, the region of stability is significantly increased, relatively to the null cosmological constant case, analysed by Poisson and Visser. With a negative cosmological constant, i.e., the Schwarzschild–anti de Sitter solution, the region of stability is decreased. In particular, considering static solutions with a generic cosmological constant, the weak and dominant energy conditions are violated, while for a0 ≤ 3M the null and strong energy conditions are satisfied. The surface pressure of the static solution is strictly positive for the Schwarzschild and Schwarzschild–anti de Sitter spacetimes, but takes negative values, assuming a surface tension in the Schwarzschild–de Sitter solution, for high values of the cosmological constant and the wormhole throat radius.

View Paper: https://www.semanticscholar.org/paper/ff6a6ddf95ae09eb1b1d21359bc1f219cdb5ef1e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Francisco S. N. Lobo
2. P. Crawford
3. Tiberiu Harko
4. Salvatore Capozziello
5. Ranjan Sharma
6. C. Chirenti
7. Shin'ichi Nojiri

Citations in the corpus

• Stability analysis of dynamic thin shells (2005, background): “It was later found that the inclusion of a charge [21] and of a positive cosmological constant [22] significantly increases the stability regions.”
• Phantom energy traversable wormholes (2005, background): “A general class of wormhole geometries with a cosmological constant and junction conditions was explored in [61], and a linearized stability analysis of thin-shell wormholes with Λ was studied in [62].”
• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes (2007, methodology): “In particular, the stability of thin-shell wormholes, constructed using the cut-and-paste technique, by considering specific equations of state [86, 87, 90, 97, 98, 99], or by applying a linearized radial perturbation around a stable solution [88, 100, 101, 102, 103], were analyzed.”
• Stable dark energy stars (2005, background): “[50] for discussions on the respective physical interpretation of η in the presence of exotic matter.”
• Stability of phantom wormholes (2005, background): “stant [32] significantly increases the stable equilibrium configurations found in Ref.”