On thin-shell wormholes evolving in flat FRW spacetimes

TL;DR

This paper investigates the stability of spherically symmetric thin-shell wormholes evolving in flat FRW universes, focusing on the dynamics of the throat supported by a perfect fluid with a linear equation of state.

Contribution

It introduces a stability analysis framework for thin-shell wormholes in expanding cosmological backgrounds with a specific fluid support at the throat.

Findings

Identifies conditions for wormhole stability in flat FRW spacetimes.

Analyzes the influence of the fluid's equation of state on stability.

Provides criteria for stable wormhole evolution in cosmological settings.

Abstract

We analize the stability of a class of thin-shell wormholes with spherical symmetry evolving in flat FRW spacetimes. The wormholes considered here are supported at the throat by a perfect fluid with equation of state $\mathcal{P}=w\sigma$ and have a physical radius equal to $aR$, where $a$ is a time-dependent function describing the dynamics of the throat and $R$ is the background scale factor. The study of wormhole stability is done by means of the stability analysis of dynamic systems.