Static Gravitational Global Monopoles

Abstract

Static solutions in spherical symmetry are found for gravitating global monopoles. Regular solutions lacking a horizon are found for $\eta <1/\sqrt{8\pi }$, where $\eta$ is the scale of symmetry breaking. Apparently regular solutions with a horizon are found for $1/\sqrt{8π} \le η\alt \sqrt{3/8π}$. Though they have a horizon, they are not Schwarzschild. The solution for $\eta =1/\sqrt{8\pi }$ is argued to have a horizon at infinity. The failure to find static solutions for $\eta >\sqrt{3/8\pi }\approx 0.3455$ is consistent with findings that topological inflation begins at $\eta \approx 0.33$.

4 pages, 6 figures

References in corpus (1)

• Critical Phenomena Inside Global Monopoles

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