Local cosmic string and C-field

TL;DR

This paper explores the gravitational effects of a local cosmic string influenced by a C-field, providing solutions to Einstein's equations for both interior and exterior regions.

Contribution

It presents new exact solutions to Einstein's equations for a cosmic string with a C-field, extending previous models to include this scalar field.

Findings

Derived solutions for the interior and exterior regions of the string

Demonstrated the influence of the C-field on spacetime geometry

Extended cosmic string models to incorporate phenomenological scalar fields

Abstract

We investigate a local cosmic string with a phenomenological energy momentum tensor as prescribed by Vilenkin, in presence of C-field . The solutions of full nonlinear Einstein's equations for exterior and interior regions of such a string are presented.