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 $2+1-$ 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 $\frac{1}{r^n}{\left(\ln r\right)}^m,$ for the radial distance $r$ and positive integers $m$ and $n$ constrained by $m\le n$. 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.

8 pages, 7 figures published in IJGMMP

References in corpus (6)

• $f(R)$ global monopole revisited
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• Global two-monopoles
• 2+1-dimensional wormhole from a doublet of scalar fields
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