All higher-dimensional Majumdar-Papapetrou black holes

TL;DR

This paper classifies all higher-dimensional Majumdar-Papapetrou black holes, proving that the only solutions with regular horizons are the known multi-black hole configurations, using geometric analysis and positive mass theorems.

Contribution

It provides a complete classification of asymptotically flat, static, extreme black hole solutions in higher-dimensional Einstein-Maxwell theory.

Findings

Only standard multi-black holes are possible in this class.

Extended positive mass theorem to manifolds with conical singularities.

Achieved classification of static extreme black holes in higher dimensions.

Abstract

We prove that the only asymptotically flat spacetimes with a suitably regular event horizon, in a generalised Majumdar-Papapetrou class of solutions to higher-dimensional Einstein-Maxwell theory, are the standard multi-black holes. The proof involves a careful analysis of the near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities. This completes the classification of asymptotically flat, static, extreme black hole solutions in this theory.