Article ID Journal Published Year Pages File Type
8187199 Physics Letters B 2018 5 Pages PDF
Abstract
We show that in any spacetime dimension D≥4, degenerate components of the event horizon do not exist in static vacuum configurations with positive cosmological constant. We also show that without a cosmological constant asymptotically flat solutions cannot possess a degenerate horizon component. Several independent proofs are presented. One proof follows easily from differential geometry in the near-horizon limit, while others use Bakry-Émery-Ricci bounds for static Einstein manifolds.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
Authors
, ,