# On the classification of stationary electro-vacuum black holes

## TL;DR

This paper classifies stationary electro-vacuum black holes, proving the uniqueness of Kerr-Newman black holes for connected horizons using Weinstein solutions.

## Contribution

It provides a comprehensive classification of stationary electro-vacuum black holes and establishes the uniqueness of Kerr-Newman solutions for connected horizons.

## Key findings

- Classification of stationary electro-vacuum black holes using Weinstein solutions
- Proof of Kerr-Newman black hole uniqueness for connected horizons
- Establishment of a framework for analyzing electro-vacuum space-times

## Abstract

We obtain a classification of stationary, $I^+$--regular, non-degenerate and analytic electro-vacuum space-times in terms of Weinstein solutions. In particular, for connected horizons, we prove uniqueness of the Kerr-Newman black holes.