arXiv:2504.10528v1 Announce Type: new
Abstract: This work explores the thermodynamic characteristics and geothermodynamics of a Bardeen black hole (BH) that interacts with a string cloud and is minimally connected to nonlinear electrodynamics. To avoid the singularities throughout the cosmic evolution, we consider an entropy function which comprises five parameters. In addition, by employing this entropy function for the specific range of parameters, we obtain the representations of BH entropy based on the holographic principle. Moreover, we employ this entropy function to investigate its impact on the thermodynamics of the BH by studying various thermodynamic properties like mass, temperature, heat capacity, and Gibbs free energy for numerous scalar charge and string cloud values. To support our investigation, we use various geothermodynamics formalisms to evaluate the stable behavior and identify different physical scenarios. Furthermore, in this analysis, we observe that only one entropy formalism provides us with better results regarding the thermodynamic behavior of the BH. Moreover, it is shown that one of the entropy models provides a thermodynamic geometric behavior compared to the other entropy models.
This work examines the thermodynamic characteristics and geothermodynamics of a Bardeen black hole (BH) interacting with a string cloud and connected to nonlinear electrodynamics. The study aims to avoid singularities throughout cosmic evolution by considering an entropy function with five parameters. This entropy function is then used to determine BH entropy based on the holographic principle and investigate its impact on various thermodynamic properties such as mass, temperature, heat capacity, and Gibbs free energy for different scalar charge and string cloud values.
To support the investigation, various geothermodynamics formalisms are employed to evaluate the stable behavior and identify different physical scenarios. The analysis reveals that only one entropy formalism yields better results concerning the BH’s thermodynamic behavior. Furthermore, one entropy model is found to provide a more thermodynamic geometric behavior compared to the other entropy models.
Roadmap for readers:
- Introduction: Provide an overview of the study’s objectives and the importance of exploring the thermodynamic characteristics and geothermodynamics of a Bardeen BH interacting with a string cloud.
- Entropy function: Explain the entropy function used in the study, highlighting its five parameters and the motivation behind its selection to avoid singularities.
- Holographic principle: Discuss how the entropy function is employed to determine BH entropy based on the holographic principle, emphasizing the significance of this approach.
- Thermodynamic properties: Present the investigation of various thermodynamic properties, including mass, temperature, heat capacity, and Gibbs free energy, for different scalar charge and string cloud values. Analyze the results and their implications.
- Geothermodynamics formalisms: Describe the utilization of different geothermodynamics formalisms to evaluate the stable behavior and identify physical scenarios. Compare the outcomes obtained from different entropy models.
- Conclusion: Summarize the main findings of the study, highlighting the entropy model that provides better results and a more thermodynamic geometric behavior. Discuss the implications and potential future directions.
Potential challenges:
- Understanding the technical aspects of thermodynamic characteristics and geothermodynamics for a BH interacting with a string cloud and connected to nonlinear electrodynamics.
- Grasping the mathematical representation and significance of the entropy function with five parameters and its role in avoiding singularities.
- Interpreting the results and implications of the investigation on various thermodynamic properties.
- Comprehending the different geothermodynamics formalisms used and their application in evaluating stable behavior and identifying physical scenarios.
Potential opportunities:
- Gaining insights into the thermodynamic behavior and characteristics of a BH interacting with a string cloud, which can contribute to our understanding of black holes and their evolution.
- Exploring the potential applications of the holographic principle in determining BH entropy and its implications.
- Identifying connections between different entropy models and their implications on the geometric behavior of the BH.
- Potential future collaborations and research to further explore the thermodynamics and geothermodynamics of BHs interacting with string clouds and connected to nonlinear electrodynamics.