Nonexistence of degenerate horizons in static vacua and black hole uniqueness

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. Sev...

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Bibliographic Details
Published inPhysics letters. B Vol. 777; pp. 235 - 239
Main Authors Khuri, Marcus, Woolgar, Eric
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.02.2018
Elsevier
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2017.12.044