Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
A general framework to study the extremal phase transition of black holes
3 Pith papers cite this work, alongside 34 external citations. Polarity classification is still indexing.
abstract
We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other existing approaches where the information of the spacetime and its dimension is directly used to get various results, we provide a general formulation in which those results are obtained for any arbitrary black hole spacetime having an extremal limit. Calculating the second order moments of fluctuations of some thermodynamic quantities we show that, the phase transition occurs only in the microcanonical ensemble. Without considering any specific black hole we calculate the values of critical exponents for this type of phase transition. These are shown to be in agreement with the values obtained earlier for metric specified cases. Finally we extend our analysis to the geometrothermodynamics (henceforth GTD) formulation. We show that for any black hole, if there is an extremal point, the Ricci scalar for the Ruppeiner metric must diverge at that point.
representative citing papers
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
citing papers explorer
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Degenerate Bifurcations and Universal Relaxation Scaling in Black Hole Thermodynamics
Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
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Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
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Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.