Schwarzschild black hole with global monopole charge

Abstract

We derive the metric for a Schwarzschild black hole with global monopole charge by relaxing asymptotic flatness of the Schwarzschild field. We then study the effect of global monopole charge on particle orbits and the Hawking radiation. It turns out that existence, boundedness and stability of circular orbits scale up by $(1-8 πη^2)^{-1}$, and the perihelion shift and the light bending by $(1-8 πη^2)^{-3/2}$, while the Hawking temperature scales down by $(1 - 8 πη^2)^2$ the Schwarzschild values. Here $η$ is the global charge.