Reissner-Nordstrom-like solutions of the SU(2) Einstein-Yang/Mills (EYM) equations

TL;DR

This paper introduces a new class of spherically symmetric solutions to the SU(2) Einstein-Yang-Mills equations that resemble Reissner-Nordstrom black holes, exhibiting unique features not seen in traditional particle-like or black-hole solutions.

Contribution

The paper identifies and characterizes a novel Reissner-Nordstrom-like solution class within the Einstein-Yang-Mills framework, expanding the known solution landscape.

Findings

Solutions are well-behaved at large distances

Solutions have a Reissner-Nordstrom type singularity at the origin

These solutions are distinct from particle-like and black-hole solutions

Abstract

In this paper we study a new type of solution of the spherically symmetric, Einstein-Yang/Mills (EYM) equations with SU(2) gauge group. These solutions are well-behaved in the far-field, and have a Reissner-Nordstrom type essential singularity at the origin. These solutions display some novel features which are not present in particle-like, or black-hole solutions. Any spherically symmetric solution to the EYM equations, defined in the far-field, is either a particle-like solution, a black-hole solution, or one of these RNL solutions.