Weak-Field Gravity of Circular Cosmic Strings
General Relativity and Quantum Cosmology
2009-10-22 v1
Abstract
A weak-field solution of Einstein's equations is constructed. It is generated by a circular cosmic string externally supported against collapse. The solution exhibits a conical singularity, and the corresponding deficit angle is the same as for a straight string of the same linear energy density. This confirms the deficit-angle assumption made in the Frolov-Israel-Unruh derivation of the metric describing a string loop at a moment of time symmetry.
Cite
@article{arxiv.gr-qc/9211011,
title = {Weak-Field Gravity of Circular Cosmic Strings},
author = {Shane J. Hughes and Des J. Mc Manus and Michel A. Vandyck},
journal= {arXiv preprint arXiv:gr-qc/9211011},
year = {2009}
}
Comments
15 pages