English

Global Monopole metric in 2+1-dimensions

General Relativity and Quantum Cosmology 2019-01-17 v6

Abstract

In order to obtain the geometry of a global monopole without cosmological constant and electric charge in 2+12+1- dimensions we make use of the broken % O(2) 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 1rn(lnr)m,\frac{1}{r^{n}}\left( \ln r\right) ^{m}, for the radial distance rr and positive integers mm and nn constrained by mnm\leq n. 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