The gravitational field of a global monopole

TL;DR

This paper provides an exact solution for the gravitational field of a global monopole, revealing its repulsive nature and effects on spacetime, including lensing and annihilation mechanisms.

Contribution

It offers a new exact solution describing the gravitational field of a global monopole and analyzes its unique properties and effects.

Findings

Global monopoles produce a repulsive gravitational field outside the core.

The metric and geodesics around a global monopole are characterized.

Lensing effects and monopole-antimonopole annihilation are studied.

Abstract

We present an exact solution to the non-linear equation which describes a global monopole in the flat space. We re-examine the metric and the geodesics outside the global monopole. We will see that a global monopole produces a repulsive gravitational field outside the core in addition to a solid angular deficit. The lensing property of the global monopole and the global monopole-antimonopole annihilation mechanism are studied.