Barrow Entropy and AdS Black Holes in RPS Thermodynamics

Barrow Entropy and AdS Black Holes in RPS Thermodynamics

March 19, 2024 | Yahya Ladghami, Brahim Asfour, Amine Bouali, Ahmed Errahmani, and Taoufik Ouali
This paper investigates the thermodynamics of charged AdS black holes within the framework of restricted phase space (RPS) thermodynamics, incorporating the effects of quantum gravity on the event horizon area. The study explores how quantum gravity influences thermodynamic behaviors, critical phenomena, phase transitions, and black hole stability. It introduces a new thermodynamic phenomenon called "resistance of phase transitions," where quantum gravity effects delay or prevent phase transitions by modifying the event horizon structure, which is modeled using a fractal parameter, δ. The paper presents the RPS thermodynamics formalism, which treats the black hole mass as internal energy and incorporates the fractal structure into the entropy expression, leading to Barrow entropy. The Smarr relation in RPS thermodynamics is modified due to the fractal parameter, resulting in a violation of the homogeneity property of the Smarr relation. The first law of thermodynamics is also reformulated in the presence of quantum gravity effects. The study analyzes charged AdS black holes with a fractal structure, deriving their thermodynamic equations of state and examining the impact of the fractal parameter on critical phenomena and phase transitions. The results show that the thermodynamics of charged AdS black holes under quantum gravity effects resembles that of Van der Waals fluids. The critical parameters, such as critical entropy and temperature, are found to depend on the fractal parameter δ. When δ reaches its maximum value (δ = 1), the critical quantities diverge, indicating the absence of phase transitions. The paper also investigates the stability of black holes by analyzing their heat capacity. It finds that the heat capacity changes with the fractal parameter, and the stability of black holes is affected by the quantum gravity-induced deformations of the event horizon. The study concludes that the fractal structure introduces a "resistance to phase transitions," delaying or preventing phase transitions when the deformation is maximal. The results highlight the importance of quantum gravity effects in modifying the thermodynamic properties of black holes and their phase transitions.This paper investigates the thermodynamics of charged AdS black holes within the framework of restricted phase space (RPS) thermodynamics, incorporating the effects of quantum gravity on the event horizon area. The study explores how quantum gravity influences thermodynamic behaviors, critical phenomena, phase transitions, and black hole stability. It introduces a new thermodynamic phenomenon called "resistance of phase transitions," where quantum gravity effects delay or prevent phase transitions by modifying the event horizon structure, which is modeled using a fractal parameter, δ. The paper presents the RPS thermodynamics formalism, which treats the black hole mass as internal energy and incorporates the fractal structure into the entropy expression, leading to Barrow entropy. The Smarr relation in RPS thermodynamics is modified due to the fractal parameter, resulting in a violation of the homogeneity property of the Smarr relation. The first law of thermodynamics is also reformulated in the presence of quantum gravity effects. The study analyzes charged AdS black holes with a fractal structure, deriving their thermodynamic equations of state and examining the impact of the fractal parameter on critical phenomena and phase transitions. The results show that the thermodynamics of charged AdS black holes under quantum gravity effects resembles that of Van der Waals fluids. The critical parameters, such as critical entropy and temperature, are found to depend on the fractal parameter δ. When δ reaches its maximum value (δ = 1), the critical quantities diverge, indicating the absence of phase transitions. The paper also investigates the stability of black holes by analyzing their heat capacity. It finds that the heat capacity changes with the fractal parameter, and the stability of black holes is affected by the quantum gravity-induced deformations of the event horizon. The study concludes that the fractal structure introduces a "resistance to phase transitions," delaying or preventing phase transitions when the deformation is maximal. The results highlight the importance of quantum gravity effects in modifying the thermodynamic properties of black holes and their phase transitions.
Reach us at info@study.space
[slides] Barrow Entropy and AdS Black Holes in RPS Thermodynamics | StudySpace