On staticity of bifurcate Killing horizons

TL;DR

This paper proves that in certain high-dimensional spacetimes satisfying specific geometric conditions, bifurcate Killing horizons with closed torsion form are necessarily static, extending known results to a broader class of solutions.

Contribution

It establishes that bifurcate Killing horizons with closed torsion form are generated by static Killing vectors in general Ricci-structured spacetimes, including $ ext{Lambda}$-vacuum cases.

Findings

Bifurcate Killing horizons with closed torsion form are static in Ricci-structured spacetimes.

The result applies to arbitrary dimensions and $ ext{Lambda}$-vacuum spacetimes.

The paper generalizes previous staticity results to broader geometric conditions.

Abstract

We show that bifurcate Killing horizons with closed torsion form, in spacetimes of arbitrary dimension satisfying a Ricci-structure condition, arise from static Killing vectors. The result applies in particular to $\Lambda$-vacuum spacetimes.