On the equilibrium state of two rotating charged masses in General Relativity

TL;DR

This paper extends previous work by deriving an exact solution for two rotating charged masses in General Relativity, demonstrating that a physical equilibrium state exists even when rotation is considered.

Contribution

It provides the first exact solution for two rotating charged sources in equilibrium within Einstein-Maxwell theory.

Findings

Existence of equilibrium for rotating charged masses confirmed

Exact solutions for rotating charged sources derived

Physical equilibrium conditions established

Abstract

This paper is a direct continuation of our old publication where it was found the exact solution of the Einstein-Maxwell equations for two static sources of Reissner-Nordstrom type in the state of the physical equilibrium. Here we present the exact solution of these equations for the case of two rotating charged sources and we proved the existence of the physical equilibrium state also for this general case.