Continuous self-similar evaporation of a rotating cosmic string loop

TL;DR

This paper presents an exact solution describing the self-similar evaporation of a rotating cosmic string loop, showing it radiates away all energy and leaves behind flat spacetime.

Contribution

It provides the first explicit linearized Einstein and Nambu-Goto solution for a rotating cosmic string loop undergoing self-similar evaporation.

Findings

Loop radiates all its energy in finite time

Solution matches Minkowski spacetime after evaporation

Describes self-similar evaporation process

Abstract

A solution of the linearized Einstein and Nambu-Goto equations is constructed which describes the evaporation of a certain type of rotating cosmic string - the Allen-Casper-Ottewill loop - under the action of its own self-gravity. The solution evaporates self-similarly, and radiates away all its mass-energy and momentum in a finite time. Furthermore, the corresponding weak-field metric can be matched to a remnant Minkowski spacetime at all points on the future light cone of the final evaporation point of the loop.