On the classification of stationary electro-vacuum black holes
Jo\~ao Lopes Costa

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.
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, --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.
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