Cylindrically symmetric, static strings with a cosmological constant in Brans-Dicke theory

TL;DR

This paper explores static, cylindrically symmetric cosmic string solutions with a cosmological constant within Brans-Dicke theory, analyzing their physical properties and matching them with interior solutions.

Contribution

It presents new vacuum solutions with a cosmological constant in Brans-Dicke theory that model cosmic strings and examines their physical characteristics.

Findings

Strings can exert attractive or repulsive forces on test particles.

Solutions admit Lorentz boost invariance along the symmetry axis.

Matching with interior solutions is successfully achieved.

Abstract

The static, cylindrically symmetric vacuum solutions with a cosmological constant in the framework of the Brans-Dicke theory are investigated. Some of these solutions admitting Lorentz boost invariance along the symmetry axis correspond to local, straight cosmic strings with a cosmological constant. Some physical properties of such solutions are studied. These strings apply attractive or repulsive forces on the test particles. A smooth matching is also performed with a recently introduced interior thick string solution with a cosmological constant.