Stationary Dyonic Regular and Black Hole Solutions

TL;DR

This paper explores new stationary solutions in Einstein-Yang-Mills-Higgs theory with a dilaton, including regular and black hole configurations with magnetic and electric charges, analyzing their properties and mass relations.

Contribution

It introduces stationary dyonic regular and black hole solutions with monopole and dipole hair in a dilaton-coupled Einstein-Yang-Mills-Higgs framework, extending previous models.

Findings

Solutions include magnetic monopoles, monopole-antimonopole pairs, and black holes with hair.

Electric charge induces angular momentum density in solutions.

Black hole solutions obey a generalized Smarr mass formula.

Abstract

We consider globally regular and black hole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole-antimonopole systems or black holes with monopole or dipole hair. When the globally regular solutions carry additionally electric charge, an angular momentum density results, except in the simplest spherically symmetric case. We evaluate the global charges of the solutions and their effective action, and analyze their dependence on the gravitational coupling strength. We show, that in the presence of a dilaton field, the black hole solutions satisfy a generalized Smarr type mass formula.