New restrictions on the topology of extreme black holes

Marcus Khuri, Eric Woolgar, William Wylie

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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)
Pages (from-to)661-673
Number of pages13
JournalLetters in Mathematical Physics
Issue number3
StatePublished - Mar 4 2019


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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