Rotating magnetized black diholes

TL;DR

This paper studies a class of exact solutions describing two co-rotating extreme black holes with specific charge configurations, analyzing their singularities and conditions for regularity in asymptotically flat spacetime.

Contribution

It characterizes new magnetized black dihole solutions, identifying parameter regimes where singularities and conical defects are absent, advancing understanding of black hole configurations with electromagnetic fields.

Findings

Identified parameter domains with no ring singularities.

Found subclasses where conical singularities are absent.

Provided conditions for regular black dihole solutions.

Abstract

We analyze a four-parameter class of asymptotically flat magnetized solutions to the Einstein-Maxwell equations constructed by Manko et al., and show that these represent systems of two co-rotating extreme black holes with equal masses and electric charges, and opposite magnetic and NUT charges, connected by a cosmic string. We discuss several three-parameter subclasses, and determine in each case the parameter domain in which the ring singularity is absent. We find a two-parameter subclass and a one-parameter subclass where the conical singularity is also absent in the horizon co-rotating frame.