Nonexistence of degenerate horizons in static vacua and black hole uniqueness

Marcus Khuri; Eric Woolgar

doi:10.1016/j.physletb.2017.12.044

Nonexistence of degenerate horizons in static vacua and black hole uniqueness

Marcus Khuri
, Eric Woolgar

Mathematics

Stony Brook University

University of Alberta

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	235-239
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	777
DOIs	https://doi.org/10.1016/j.physletb.2017.12.044
State	Published - Feb 10 2018

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10.1016/j.physletb.2017.12.044

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title = "Nonexistence of degenerate horizons in static vacua and black hole uniqueness",

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–{\'E}mery–Ricci bounds for static Einstein manifolds.",

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AU - Khuri, Marcus

AU - Woolgar, Eric

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N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2017.12.044

DO - 10.1016/j.physletb.2017.12.044

M3 - Article

SN - 0370-2693

VL - 777

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EP - 239

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

Nonexistence of degenerate horizons in static vacua and black hole uniqueness

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