Multicritical phase transitions in multiply rotating black holes

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Abstract
We show that multi-critical points in which more than three phases coalesce are present in multiply rotating Kerr-anti de Sitter black holes ind-dimensions. We explicitly present a quadruple point for a triply rotating black hole ind = 8 and a quintuple point for a quadruply rotating black hole ind = 10. The maximal number of distinct phasesnis one larger than the maximal number of independent rotations, and we outline a method for obtaining the associatedn-tuple point. Situations also exist where more than three phases merge at sub-maximal multi-critical points. Our results show that multi-critical points in black hole thermodynamics are more common than previously thought, with systems potentially supporting many phases as long as a sufficient number of thermodynamic variables are present.
Funding Information
  • Natural Sciences and Engineering Research Council of Canada
  • University of Waterloo

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