Separability of black holes in string theory

Cynthia Keeler, Finn Larsen

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


We analyze the origin of separability for rotating black holes in string theory, considering both massless and massive geodesic equations as well as the corresponding wave equations. We construct a conformal Killing-Stackel tensor for a general class of black holes with four independent charges, then identify two-charge configurations where enhancement to an exact Killing-Stackel tensor is possible. We show that further enhancement to a conserved Killing-Yano tensor is possible only for the special case of Kerr-Newman black holes. We construct natural null congruences for all these black holes and use the results to show that only the Kerr-Newman black holes are algebraically special in the sense of Petrov. Modifying the asymptotic behavior by the subtraction procedure that induces an exact SL(2) 2 also preserves only the conformal Killing-Stackel tensor. Similarly, we find that a rotating Kaluza-Klein black hole possesses a conformal Killing-Stackel tensor but has no further enhancements.

Original languageEnglish (US)
Article number152
JournalJournal of High Energy Physics
Issue number10
StatePublished - Nov 7 2012
Externally publishedYes


  • Black holes
  • Black holes in string theory
  • Classical theories of gravity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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