Asymmetric Thin-Shell Wormholes

Abstract

Spacetime wormholes in isotropic spacetimes are represented traditionally by embedding diagrams which were symmetric paraboloids. This mirror symmetry, however, can be broken by considering different sources on different sides of the throat. This gives rise to an asymmetric thin-shell wormhole, whose stability is studied here in the framework of the linear stability analysis. Having constructed a general formulation, using a variable equation of state and related junction conditions, the results are tested for some examples of diverse geometries such as the cosmic string, Schwarzschild, Reissner-Nordstr% öm and Minkowski spacetimes. Based on our chosen spacetimes as examples, our finding suggests that symmetry is an important factor to make a wormhole more stable. Furthermore, the parameter $\gamma$, which corresponds to the radius dependency of the pressure on the wormholes's throat, can affect the stability in a great extent.

Final version, 10 pages and 9 figures Published in EPJC

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• Structure and stability of traversable thin-shell wormholes in Palatini $f(\mathcal{R})$ gravity
• Thin-Shell Wormhole Satisfying Energy Conditions
• Stable Bounded Excursion Gravastars with Regular Black Holes
• Thin shells in (2+1)-dimensional F(R) gravity
• Fate of a Thin-Shell Wormhole Powered by Morris-Thorne Wormhole
• Discontinuity Problem in the Linear Stability Analysis of Thin-Shell Wormholes
• Thin shells in F(R) gravity with non-constant scalar curvature
• Effects of Variable Equations of State on the Stability of Nonlinear Electrodynamics Thin-Shell Wormholes
• The Stability of Asymmetric Cylindrical Thin-Shell Wormholes
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Thermodynamic Stability of a Schwarzschild Thin-Shell Wormhole
• Charged thin shells in unimodular gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Spherical thin shells with charge in unimodular gravity
• Sculpting Spacetime: Thin Shells in Wormhole Physics
• A Closed Universe: de Sitter Cosmic Gate