Cosmological constant influence on cosmic string spacetime

TL;DR

This paper studies how a cosmological constant affects the spacetime around a cosmic string, deriving a time-dependent metric and discussing its physical implications.

Contribution

It introduces a new time-dependent metric for cosmic string spacetime with a cosmological constant, addressing asymptotic issues in previous models.

Findings

Derived a consistent, time-dependent metric for cosmic string spacetime with cosmological constant

Showed the original static metric should be discarded due to asymptotic problems

Discussed physical properties of the new metric

Abstract

We investigate the line element of spacetime around a linear cosmic string in the presence of a cosmological constant. We obtain the metric and argue that it should be discarded because of asymptotic considerations. Then a time dependent and consistent form of the metric is obtained and its properties are discussed.