Isolated critical point from Lovelock gravity

Brian P. Dolan*, Anna Kostouki, David Kubizňák, Robert B. Mann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

114 Citations (Scopus)


For any K (= 2k + 1)th order Lovelock gravity with fine-tuned Lovelock couplings, we demonstrate the existence of a special isolated critical point characterized by non-standard critical exponents in the phase diagram of hyperbolic vacuum black holes. In the Gibbs free energy, this corresponds to a place wherefrom two swallowtails emerge, giving rise to two first-order phase transitions between small and large black holes. We believe that this is a first example of a critical point with non-standard critical exponents obtained in a geometric theory of gravity.

Original languageEnglish
Article number242001
JournalClassical and Quantum Gravity
Issue number24
Publication statusPublished - 21 Dec 2014


  • black hole thermodynamics
  • critical phenomena
  • phase transitions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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