# Superposition of fields of two rotating charged masses in General Relativity and existence of equilibrium configurations

## TL;DR

This paper investigates the conditions under which two rotating charged masses, including black holes and naked singularities, can exist in equilibrium within the framework of General Relativity, extending previous static case results.

## Contribution

It introduces the concept of equilibrium for rotating charged masses and demonstrates that a Kerr-Newman black hole and naked singularity can be in equilibrium, unlike static cases.

## Key findings

- Equilibrium is possible between a Kerr-Newman black hole and a naked singularity.
- Static configurations with two charged black holes cannot be in equilibrium.
- The equilibrium conditions for two rotating charged black holes remain unresolved.

## Abstract

It is known that two Reissner-Nordstrom black holes or two overextreme Reissner-Nordstrom sources cannot be in physical equilibrium. In the static case such equilibrium is possible only if one of the sources is a black hole and another one is a naked singularity. We define the notion of physical equilibrium in general (stationary) case when both components of a binary system are rotating and show that such system containing a Kerr-Newman black hole and a Kerr-Newman naked singularity also can stay in physical equilibrium. The similar question about the system of two charged rotating black holes or two rotating overextreme charged sources still remains open.