Critical Exponents For Schwarzschild-Kerr and BTZ Systems
E.N. Glass, J.P. Krisch (Department of Physics, University of, Michigan, Ann Arbor, Michgan)
TL;DR
This paper investigates phase transitions in Schwarzschild-Kerr and BTZ black hole systems, calculating critical exponents and proposing a spin-independent isothermal compressibility, suggesting universality in their critical behavior.
Contribution
It introduces a new definition of isothermal compressibility independent of spin direction and demonstrates identical critical exponents for both systems, indicating potential universality.
Findings
Identical critical exponents for Schwarzschild-Kerr and BTZ systems
Proposed a spin-independent isothermal compressibility
Evidence of universality in phase transition behavior
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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