Global Monopole metric in 2+1-dimensions
Abstract
In order to obtain the geometry of a global monopole without cosmological constant and electric charge in dimensions we make use of the broken symmetry. In the absence of exact solution we determine the series solutions for both the metric and monopole functions in a consistent manner that satisfy all equations in appropriate powers. The new expansion elements are of the form for the radial distance and positive integers and constrained by . To the lowest order of expansion we find that in analogy with the negative cosmological constant the geometry of the global monopole acts repulsively, i.e., in the absence of a cosmological constant the global monopole plays at large distances the role of a negative cosmological constant.
Keywords
Cite
@article{arxiv.1408.3008,
title = {Global Monopole metric in 2+1-dimensions},
author = {S. Habib Mazharimousavi and M. Halilsoy},
journal= {arXiv preprint arXiv:1408.3008},
year = {2019}
}
Comments
8 pages, 7 figures published in IJGMMP