Non static local string in Brans-Dicke theory

TL;DR

This paper demonstrates that local gauge strings in Brans-Dicke theory can be consistent when time dependence is incorporated into the metric, providing new solutions to Einstein's equations.

Contribution

It introduces time-dependent metrics to achieve consistency of local gauge strings in Brans-Dicke theory, with explicit solutions to Einstein's equations.

Findings

Time dependence resolves previous inconsistencies.

Explicit nonlinear solutions for string interiors are provided.

Supports the viability of gauge strings in alternative gravity theories.

Abstract

A recent investigation shows that a local gauge string with a phenomenological energy momentum tensor, as prescribed by Vilenkin, is inconsistent in Brans-Dicke theory. In this work, it has been shown that such a string is indeed consistent if one introduces time dependences in the metric. A set of solutions of full nonlinear Einstein's equations for the interior region of such a string are presented.