Stability of generic cylindrical thin shell wormholes
arXiv:1403.2861 · doi:10.1103/PhysRevD.89.084003
Abstract
We revisit the stability analysis of cylindrical thin shell wormholes which have been studied in literature so far. Our approach is more systematic and in parallel to the method which is used in spherically symmetric thin shell wormholes. The stability condition is summarized as the positivity of the second derivative of an effective potential at the equilibrium radius, i.e. . This may serve as the master equation in all stability problems for the cylindrical thin-shell wormholes.
7 pages, 2 figures. Final version, accepted for publication in Phys. Rev. D
References in corpus (31)
- Traversable wormholes: Some simple examples
- Thin-shell wormholes: Linearization stability
- Traversable wormholes from surgically modified Schwarzschild spacetimes
- Stability of phantom wormholes
- Generic spherically symmetric dynamic thin-shell traversable wormholes in standard general relativity
- Stability analysis of dynamic thin shells
- Cylindrical thin-shell wormholes
- Stability of thin-shell wormholes with spherical symmetry
- Stability of Transparent Spherically Symmetric Thin Shells and Wormholes
- Thin-shell wormholes in dilaton gravity
- Cylindrical wormholes
- Mechanical Stability of Cylindrical Thin-Shell Wormholes
- Some general aspects of thin-shell wormholes with cylindrical symmetry
- Thin-shell wormholes associated with global cosmic strings
- Rotating cylindrical wormholes
- Stability Analysis of Thin-Shell Wormholes from Charged Black String
- Brans-Dicke cylindrical wormholes
- On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
- Cylindrical wormholes in DGP gravity
- Stable thin-shell wormholes with a Chaplygin gas in Einstein-Maxwell-Gauss-Bonnet gravity
- The Levi-Civita spacetime
- Cylindrical wormholes with positive cosmological constant
- Probing global aspects of a geometry by the self-force on a charge; cylindical thin-shell wormholes
- Black hole and thin-shell wormhole solutions in Einstein-Hoffman-Born-Infeld theory
- The static cylinder, gyroscopes, the C metric, and all that
- Cylindrical sources in full Einstein and Brans-Dicke gravity
- Bertotti-Robinson and Melvin Spacetimes
- Cylindrical thin-shell wormholes and energy conditions
- Charge screening by thin-shells in a 2+1-dimensional regular black hole
- Effect of a positive cosmological constant on cosmic strings
- Unified Bertotti-Robinson and Melvin Spacetimes
Cited by in corpus (33)
- A note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state
- Thin-shell wormholes with charge in F(R) gravity
- Higher-dimensional thin-shell wormholes in third-order Lovelock gravity
- Asymmetric Thin-Shell Wormholes
- General formalism for the stability of thin-shell wormholes in 2+1 dimensions
- Linear stability analysis of a rotating thin-shell wormhole
- Thin-shell wormholes with a double layer in quadratic F(R) gravity
- Stability of cylindrical thin shell wormhole during evolution of universe from inflation to late time acceleration
- Cosmology from quantum potential in brane-anti-brane system
- Spherical thin shells in F(R) gravity: construction and stability
- Asymptotically anti-de Sitter cylindrical thin-shell wormholes
- Counterrotational effects on stability of 2+1-dimensional thin-shell wormholes
- Thin shells in (2+1)-dimensional F(R) gravity
- Does the Gauss-Bonnet term stabilize wormholes?
- Stability of a -dimensional thin-shell wormhole surrounded by quintessence
- Negative tension branes as stable thin shell wormholes
- 3+1-dimensional thin-shell wormhole with deformed throat can be supported by normal matter
- Thin shells joining local cosmic string geometries
- Thin shells in F(R) gravity with non-constant scalar curvature
- Thin shells surrounding black holes in F(R) gravity
- Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
- Thin shells associated to black string spacetimes
- Thin-shell wormholes in (2+1)-dimensional F(R) theories
- A note about the perturbative dynamics of symmetric shells
- Linearized Stability of Harada Thin-Shell Wormholes
- Microscopic thin shell wormholes in magnetic Melvin universe
- Electrostatics and self-force in asymptotically flat cylindrical wormholes
- Dynamical and thermodynamical stability of a charged thin-shell wormhole
- Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable
- Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
- Charged thin shells in unimodular gravity
- Thin-shell wormholes in Einstein and Einstein-Gauss-Bonnet theories of gravity
- Sculpting Spacetime: Thin Shells in Wormhole Physics