Schwarzschild black hole with global monopole charge

TL;DR

This paper derives the metric for a Schwarzschild black hole with a global monopole charge, analyzing how this charge affects particle orbits, light bending, and Hawking radiation, revealing specific scaling behaviors.

Contribution

It introduces a modified Schwarzschild metric incorporating global monopole charge and studies its effects on black hole properties and particle dynamics.

Findings

Circular orbits scale up by (1-8πη²)^(-1)

Perihelion shift and light bending scale by (1-8πη²)^(-3/2)

Hawking temperature scales down by (1-8πη²)^2

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 $(1-8 \pi\eta^2)^{-1}$, and the perihelion shift and the light bending by $(1-8 \pi\eta^2)^{-3/2}$, while the Hawking temperature scales down by $(1 - 8 \pi \eta^2)^2$ the Schwarzschild values. Here $\eta$ is the global charge.