Cylindrical wormholes with positive cosmological constant

TL;DR

This paper constructs cylindrical traversable wormholes with positive cosmological constant using cut-and-paste methods on cosmic string manifolds, analyzing their dynamic evolution under various exotic matter equations of state.

Contribution

It introduces a method to create and analyze cylindrical wormholes with positive cosmological constant considering different exotic matter models at the shell.

Findings

Throat evolves monotonically at constant velocity

Wormholes can undergo accelerated expansion or contraction

Oscillatory behavior of the throat is unlikely

Abstract

We construct cylindrical, traversable wormholes with finite radii by taking into account the cut-and-paste procedure for the case of cosmic string manifolds with a positive cosmological constant. Under reasonable assumptions about the equation of state of the matter located at the shell, we find that the wormhole throat undergoes a monotonous evolution provided it moves at a constant velocity. In order to explore the dynamical nonlinear behaviour of the wormhole throat, we consider that the matter at the shell is supported by anisotropic Chaplygin gas, anti-Chaplygin gas, or a mixed of Chaplygin and anti-Chaplygin gases implying that wormholes could suffer an accelerated expansion or contraction but the oscillatory behavior seems to be forbidden.