标题： 静态引力全局单极子 显示英文标题

标题： Static Gravitational Global Monopoles

摘要： 在球对称情况下，找到了引力全局单极子的静态解。 对于$\eta < 1/\sqrt{8\pi}$，找到了缺乏视界的规则解，其中$\eta$是对称破缺的尺度。 显然，对于$1/\sqrt{8\pi} \le \eta \alt \sqrt{3/8\pi}$找到了具有视界的规则解。 尽管它们具有视界，但它们不是施瓦茨希尔德解。 对于$\eta = 1/\sqrt{8\pi}$的解被认为在无穷远处有视界。 未能找到$\eta > \sqrt{3/8\pi} \approx 0.3455$的静态解与拓扑膨胀开始于$\eta \approx 0.33$的发现是一致的。 显示英文摘要

摘要： 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 $1/\sqrt{8\pi} \le \eta \alt \sqrt{3/8\pi}$. 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 $\eta \approx 0.33$.