Equatorially symmetric configurations of two Kerr-Newman black holes

TL;DR

This paper constructs and analyzes two symmetric binary Kerr-Newman black hole configurations, exploring their thermodynamics and magnetic charge interactions within Einstein-Maxwell theory.

Contribution

It introduces two new exact solutions for binary Kerr-Newman black holes with specific charge arrangements and studies their thermodynamic properties.

Findings

First law of thermodynamics is correctly formulated for magnetic charges.

Configurations include black holes with opposite magnetic charges and dyonic systems.

Thermodynamic properties are analyzed for these binary black hole systems.

Abstract

In this paper, we employ the general equatorially symmetric two-soliton solution of the Einstein-Maxwell equations for elaborating two physically meaningful configurations describing a pair of equal Kerr-Newman corotating black holes separated by a massless strut. The first configuration is characterized by opposite magnetic charges of its constituents, while in the second configuration the black holes carry equal electric and opposite magnetic charges, thus providing a nontrivial example of a binary dyonic black-hole system. The thermodynamic properties of these binary configurations are studied and the first law of thermodynamics taking correctly into account the magnetic field contribution is formulated for each case.