Uniqueness Theorem of Static Degenerate and Non-degenerate Charged Black Holes in Higher Dimensions

TL;DR

This paper proves a uniqueness theorem for static charged black holes in higher dimensions, encompassing both degenerate and non-degenerate horizon components, under specific asymptotic and topological conditions.

Contribution

It extends the black hole uniqueness theorem to higher-dimensional static charged black holes with complex horizon structures.

Findings

Uniqueness holds for static higher-dimensional charged black holes.

Both degenerate and non-degenerate horizons are included.

The theorem applies to asymptotically flat spacetimes with compact interior.

Abstract

We prove the uniqueness theorem for static higher dimensional charged black holes spacetime containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of the event horizon.