Constructive proof of the Kerr-Newman black hole uniqueness: derivation of the full solution from scratch

TL;DR

This paper provides a constructive proof demonstrating that the Kerr-Newman black hole solution is uniquely derived from the Einstein-Maxwell equations under specific boundary conditions, establishing a clear method from first principles.

Contribution

It offers a new constructive derivation of the Kerr-Newman solution directly from the Einstein-Maxwell equations, emphasizing its uniqueness and boundary value problem formulation.

Findings

The Kerr-Newman solution is the unique electro-vacuum solution with specified boundary conditions.

A straightforward derivation from the boundary value problem is possible.

The proof confirms the solution's uniqueness in the given setting.

Abstract

The Kerr-Newman black hole solution can be constructed straightforwardly as the unique solution to the boundary value problem of the Einstein-Maxwell equations corresponding to an asymptotically flat, stationary and axisymmetric electro-vacuum spacetime surrounding a connected Killing horizon.