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Circular orbit of a test particle and phase transition of a black hole
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Circular orbit of a test particle and phase transition of a black hole
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The radius of the circular orbit for the time-like or light-like test particle in a background of general spherically symmetric spacetime is viewed as a characterized quantity for the thermodynamic phase transition of the corresponding black hole. We generally show that the phase transition information of a black hole can be reflected by its surrounding particle's circular orbit.
Forward citations
Cited by 3 Pith papers
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Unifying topological, geometric, and complex classifications of black hole thermodynamics
Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.
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Off-shell Hessian thermodynamic stability of higher-curvature black holes
An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
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Unifying topological, geometric, and complex classifications of black hole thermodynamics
Black hole thermodynamic classifications based on temperature-curve extrema, topological winding numbers, and complex Riemann-surface foliations are equivalent; all reduce to counting the extrema of the temperature function.
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