Thermodynamics of AdS-Schwarzschild-like black hole in loop quantum gravity

Thermodynamics of AdS-Schwarzschild-like black hole in loop quantum gravity

November 26, 2024 | Rui-Bo Wang, Shi-Jie Ma, Lei You, Yu-Cheng Tang, Yu-Hang Feng, Xian-Ru Hu, and Jian-Bo Deng
This paper investigates the thermodynamics of a quantum-corrected AdS-Schwarzschild-like black hole in loop quantum gravity (LQG). The metric of the black hole is derived under the assumption that the cosmological constant is decoupled in LQG. The thermodynamic properties, including the equation of state, criticality, heat capacity, and Gibbs free energy, are analyzed. The P-v graph is plotted, and the critical behavior is calculated. The results show that the quantum-corrected Schwarzschild-AdS black hole exhibits a critical point with a critical ratio of 7/18, which is slightly different from the Reissner-Nordström-AdS black hole's ratio of 3/8. However, there are similarities with the Van der Waals system, such as the same critical exponents and a similar P-v graph. The energy-momentum tensor related to the black hole's mass may violate the conventional first law of thermodynamics, potentially indicating the occurrence of a zeroth-order phase transition. The Joule-Thomson expansion is also studied, and the results show that the LQG effect leads to inversion points. The inversion curve divides the (P,T) coordinate system into two regions: a heating region and a cooling region. The results indicate that there is a minimum inversion mass, below which any black hole will not possess an inversion point. The study provides insights into the thermodynamics of AdS black holes and the equations of state for real gases.This paper investigates the thermodynamics of a quantum-corrected AdS-Schwarzschild-like black hole in loop quantum gravity (LQG). The metric of the black hole is derived under the assumption that the cosmological constant is decoupled in LQG. The thermodynamic properties, including the equation of state, criticality, heat capacity, and Gibbs free energy, are analyzed. The P-v graph is plotted, and the critical behavior is calculated. The results show that the quantum-corrected Schwarzschild-AdS black hole exhibits a critical point with a critical ratio of 7/18, which is slightly different from the Reissner-Nordström-AdS black hole's ratio of 3/8. However, there are similarities with the Van der Waals system, such as the same critical exponents and a similar P-v graph. The energy-momentum tensor related to the black hole's mass may violate the conventional first law of thermodynamics, potentially indicating the occurrence of a zeroth-order phase transition. The Joule-Thomson expansion is also studied, and the results show that the LQG effect leads to inversion points. The inversion curve divides the (P,T) coordinate system into two regions: a heating region and a cooling region. The results indicate that there is a minimum inversion mass, below which any black hole will not possess an inversion point. The study provides insights into the thermodynamics of AdS black holes and the equations of state for real gases.
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[slides and audio] Thermodynamics of AdS-Schwarzschild-like black hole in loop quantum gravity