On the relationship between the angular deficit and the internal structure of straight cosmic strings

TL;DR

This paper explores the relationship between the angular deficit and the internal structure of straight cosmic strings, revealing that the deficit depends on both matter content and internal gravitational effects.

Contribution

It introduces a new equation linking the angular deficit to the string's internal gravitational field, extending the traditional relation involving only matter density.

Findings

Angular deficit depends on internal gravitational field.

The traditional relation mu = angular deficit / (8*pi) has limitations.

New equation incorporates internal gravitational effects.

Abstract

We give a brief discussion on the limitations involving the expression mu ={angular deficit}/(8*pi),(G=c=1), which relates the string linear energy density ''mu'' to the conical deficit angle. Then, we establish a new equation between the angular deficit and another physical attribute of the string which shows that the angular deficit is determined not only by the amount of proper matter of the string but also, in a Newtonian sense, by its internal gravitational field.