New restrictions on the topology of extreme black holes

Marcus Khuri, Eric Woolgar, William Wylie

Research output: Contribution to journalArticle

Abstract

We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross sections for extreme stationary vacuum black holes in arbitrary dimension, without additional symmetry hypotheses. This is achieved by exploiting a correspondence between the associated near-horizon geometries and the mathematical notion of m-quasi-Einstein metrics, in addition to generalizations of the classical splitting theorem from Riemannian geometry. Consequences are analyzed and refined classifications are given for the possible topologies of these black holes.

Original languageEnglish (US)
JournalLetters in Mathematical Physics
DOIs
StateAccepted/In press - Jan 1 2018

Fingerprint

Black Holes
horizon
Horizon
constrictions
Extremes
topology
Restriction
Topology
Einstein Metrics
Riemannian geometry
Betti numbers
geometry
Fundamental Group
Vacuum
Cross section
Correspondence
theorems
Symmetry
vacuum
cross sections

Keywords

  • Black holes
  • Horizon topology
  • m-Quasi-Einstein metric
  • Splitting theorem

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

New restrictions on the topology of extreme black holes. / Khuri, Marcus; Woolgar, Eric; Wylie, William.

In: Letters in Mathematical Physics, 01.01.2018.

Research output: Contribution to journalArticle

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