Microscopic thin shell wormholes in magnetic Melvin universe
arXiv:1403.6940 · doi:10.1140/epjc/s10052-014-2889-0
Abstract
We construct thin shell wormholes in the magnetic Melvin universe. It is shown that in order to make a TSW in the Melvin spacetime the radius of the throat can not be larger than in which is the magnetic field constant. We also analyze the stability of the constructed wormhole in terms of a linear perturbation around the equilibrium point. In our stability analysis we scan a full set of the Equation of States such as Linear Gas, Chaplygin Gas, Generalized Chaplygin Gas, Modified Generalized Chaplygin Gas and Logarithmic Gas. Finally we extend our study to the wormhole solution in the unified Melvin and Bertotti-Robinson spacetime. In this extension we show that for some specific cases, the local energy density is partially positive but the total energy which supports the wormhole is positive.
arXiv comment8 pages, 6 figures
References in corpus (26)
- Traversable wormholes: Some simple examples
- Thin-shell wormholes: Linearization stability
- Traversable wormholes from surgically modified Schwarzschild spacetimes
- Stability of phantom wormholes
- 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
- Stability of generic cylindrical thin shell wormholes
- Rotating cylindrical wormholes
- Stability Analysis of Thin-Shell Wormholes from Charged Black String
- Brans-Dicke cylindrical wormholes
- Stable thin-shell wormholes with a Chaplygin gas in Einstein-Maxwell-Gauss-Bonnet gravity
- Cylindrical wormholes in DGP gravity
- 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
- 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
- Unified Bertotti-Robinson and Melvin Spacetimes