Gravitating monopole and black holes at intermediate Higgs masses

TL;DR

This paper investigates the behavior of self-gravitating SU(2) Higgs monopoles and black holes at intermediate Higgs masses, focusing on critical solutions with degenerate horizons and the transition between different critical solution types.

Contribution

It explores the transition between two types of critical solutions for gravitating monopoles and black holes at intermediate Higgs masses, extending previous work by Lue and Weinberg.

Findings

Identification of the critical Higgs mass where transition occurs

Characterization of degenerate horizon solutions at criticality

Analysis of monopole and black hole behaviors near critical points

Abstract

Self-gravitating SU(2) Higgs magnetic monopoles exist up to a critical value of the ratio of the vector meson mass to the Planck mass, which depends on the Higgs boson mass. At the critical value a critical solution with a degenerate horizon is reached. As pointed out by Lue and Weinberg, there are two types of critical solutions, with a transition at an intermediate Higgs boson mass. Here we investigate this transition for black holes, and reconsider it for the case of gravitating monopoles.