Circular orbit of a test particle and phase transition of a black hole

Abstract

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.

6 pages

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• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Deciphering black hole phase transitions through photon spheres
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Can we know about black hole thermodynamics through shadows?
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Can shadows connect black hole microstructures?
• Information paradox and corrected thermodynamics for black holes
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Black hole images as probes of thermodynamic evolution
• Revisiting particle circular orbits as probes of black hole phase transitions