Microscopic thin-shell wormholes in magnetic Melvin universe

S. Habib Mazharimousavi; M. Halilsoy; Z. Amirabi

doi:10.1140/epjc/s10052-014-2889-0

EPJ

Microscopic thin-shell wormholes in magnetic Melvin universe

S. Habib Mazharimousavi^*, M. Halilsoy and Z. Amirabi

Department of Physics, Eastern Mediterranean University, G. Magusa, North Cyprus, Mersin 10, Turkey

Received: 4 April 2014
Accepted: 2 May 2014
Published online: 20 May 2014

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 cannot 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.