Magnetic Bags and Black Holes

TL;DR

This paper explores gravitational magnetic bags, analyzing their properties, the transition to black holes, and the critical coupling, revealing how gravitational effects influence monopole configurations and black hole formation.

Contribution

It introduces the concept of gravitational magnetic bags, solves their equations, and identifies the critical coupling for monopole-black hole transition, extending understanding of monopole-gravity interactions.

Findings

Critical coupling for transition is v_cr = sqrt(pi)/(4 sqrt(G))

Transition from monopole to black hole depends on the Higgs vev and gravitational effects

Black-hole limit of magnetic bags is characterized and studied in detail

Abstract

We discuss gravitational magnetic bags, i.e. clusters of large number of monopoles in presence of gravitational effects. Physics depends on the dimensionless ratio between the vev of the Higgs field at infinity and the Planck mass. We solve the equations for the gravitational bags, and study the transition from monopole to black hole. The critical coupling for this transition is $v_{cr} = \sqrt{\pi}/(4 \sqrt{G})$, and it is larger than that of a single 't Hooft-Polyakov monopole. We investigate in detail the black-hole limit.