Nonexistence of Extremal de Sitter Black Rings

Abstract

We show that near-horizon geometries in the presence of a positive cosmological constant cannot exist with ring topology. In particular, de Sitter black rings with vanishing surface gravity do not exist. Our result relies on a known mathematical theorem which is a straightforward consequence of a type of energy condition for a modified Ricci tensor, similar to the curvature-dimension conditions for the $m$-Bakry-Émery-Ricci tensor.

4 pages

References in corpus (1)

• Black ring with two angular momenta

Cited by in corpus (1)

• Nonexistence of Degenerate Horizons in Static Vacua and Black Hole Uniqueness