Critical Exponents For Schwarzschild-Kerr and BTZ Systems

Abstract

Regarding the spin-up of Schwarzschild-Kerr and Banados-Teitelboim-Zanelli systems as a symmetry breaking phase transition, critical exponents are evaluated and compared with classical Landau predictions. We suggest a definition of isothermal compressibity which is independent of spin direction. We find identical exponents for both systems, and possible universality in the phase transitions of these systems.

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