Cosmic Strings Coupled With a Massless Scalar Field

TL;DR

This paper presents a new scalar field generalization of cylindrically symmetric solutions describing stable, rotating cosmic strings interacting with gravitational and scalar waves, maintaining regularity and asymptotic flatness.

Contribution

It introduces a novel scalar field extension of Xanthopoulos's solutions, preserving key properties and modeling cosmic strings with scalar and gravitational wave interactions.

Findings

Solution is regular on the axis and asymptotically flat.

Describes stable, infinite rotating cosmic strings.

Interacts with gravitational and scalar waves.

Abstract

A scalar field generalization of Xanthopoulos's cylindrically symmetric solutions of the vacuum Einstein equation is obtained. The obtained solution preserves the properties of the Xanthopoulos solution, which are regular on the axis, asymptotically flat and free from the curvature singularities. The solution describes stable, infinite length of rotating cosmic string interacting with gravitational and scalar waves.