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*
The paper investigates the thermodynamics of a Schwarzschild-like black hole in loop quantum gravity (LQG) under the assumption that the cosmological constant is decoupled in LQG. The authors derived the metric of this black hole and explored its thermodynamic properties, including the equation of state, criticality, heat capacity, and Gibbs free energy. They found that the quantum corrections in LQG lead to a critical point and a critical ratio of 7/18, which differs slightly from the 3/8 ratio observed in the Van der Waals system. The study also revealed that the conventional first law of thermodynamics is violated due to the energy-momentum tensor's dependence on the black hole's mass, leading to a modified first law that does not conserve the Gibbs free energy during phase transitions, potentially indicating a zeroth-order phase transition. Additionally, the Joule-Thomson expansion was analyzed, showing that there is a minimum inversion mass below which any black hole will remain in a heating process. The results provide insights into the thermodynamics of AdS black holes in LQG and have implications for future astronomical observations and theoretical studies.The paper investigates the thermodynamics of a Schwarzschild-like black hole in loop quantum gravity (LQG) under the assumption that the cosmological constant is decoupled in LQG. The authors derived the metric of this black hole and explored its thermodynamic properties, including the equation of state, criticality, heat capacity, and Gibbs free energy. They found that the quantum corrections in LQG lead to a critical point and a critical ratio of 7/18, which differs slightly from the 3/8 ratio observed in the Van der Waals system. The study also revealed that the conventional first law of thermodynamics is violated due to the energy-momentum tensor's dependence on the black hole's mass, leading to a modified first law that does not conserve the Gibbs free energy during phase transitions, potentially indicating a zeroth-order phase transition. Additionally, the Joule-Thomson expansion was analyzed, showing that there is a minimum inversion mass below which any black hole will remain in a heating process. The results provide insights into the thermodynamics of AdS black holes in LQG and have implications for future astronomical observations and theoretical studies.
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