General formalism for the stability of thin-shell wormholes in 2+1 dimensions

Abstract

In this article we theoretically construct circular thin-shell wormholes in a 2+1 dimensional spacetime. The construction is symmetric with respect to the throat. We present a general formalism for the study of the mechanical stability under perturbations preserving the circular symmetry of the configurations, adopting a linearized equation of state for the exotic matter at the throat. We apply the formalism to several examples.

14 pages, 7 figures; v2: improved version, new references added

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• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Thin shells in (2+1)-dimensional F(R) gravity
• 2+1-dimensional traversable wormholes supported by positive energy
• 3+1-dimensional thin-shell wormhole with deformed throat can be supported by normal matter
• Thin shells in F(R) gravity with non-constant scalar curvature
• Thin shells associated to black string spacetimes
• Structure of $3D$ gravastars in the context of massive gravity
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
• Magnetic Morris-Thorne wormhole in 2+1-dimensions
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• Studies on Thin-shells and Thin-shell Wormholes