by jsendak | Apr 16, 2025 | GR & QC Articles
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.
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by jsendak | Oct 24, 2024 | GR & QC Articles
arXiv:2410.16346v1 Announce Type: new
Abstract: Motivated by a new interesting nonlinear electrodynamics (NLED) model which is known as Modification Maxwell (ModMax) theory, we obtain an exact analytic BTZ black hole solution in the presence of a new NLED model and the cosmological constant. Then, by considering the obtained solution, we obtain Hawking temperature, entropy, electric charge, mass, and electric potential. We extract the first law of thermodynamics for the BTZ-ModMax black hole. We study thermal stability by evaluating the heat capacity (local stability) and Helmholtz free energy (global stability). By comparing the local and global stabilities, we find the common areas that satisfy the local and global stabilities, simultaneously.
According to the article, the researchers have discovered a new nonlinear electrodynamics (NLED) model called Modification Maxwell (ModMax) theory. They have used this model to derive an exact analytic solution for the BTZ black hole in the presence of the new NLED and the cosmological constant.
Using the obtained solution, the authors have calculated various thermodynamic quantities such as the Hawking temperature, entropy, electric charge, mass, and electric potential of the BTZ-ModMax black hole. They have also derived the first law of thermodynamics for this black hole.
Furthermore, the researchers have investigated the thermal stability of the black hole by evaluating its heat capacity (local stability) and Helmholtz free energy (global stability). Through their analysis, they have identified the common areas of parameter space where both the local and global stabilities are satisfied simultaneously.
Future Roadmap and Potential Challenges
Based on the findings of this study, there are several potential future directions and challenges that readers could explore:
- Generalization of the ModMax theory: Readers could investigate the applicability of the ModMax theory to other black hole solutions or different gravitational theories.
- Thermodynamic properties of other black hole solutions: Researchers could explore the thermodynamic properties of black holes in the presence of different NLED models or in alternative gravitational theories.
- Physical interpretation of the common stable areas: Further analysis is needed to understand the physical significance of the parameter space regions where both the local and global stabilities are satisfied.
- Experimental or observational tests: It would be worthwhile to investigate if the predictions of the BTZ-ModMax black hole solution or the ModMax theory can be tested experimentally in the future.
- Connections to other areas of physics: The implications of the ModMax theory and the BTZ-ModMax black hole solution could be explored in the context of other branches of physics, such as quantum field theory or high-energy physics.
While these potential research directions offer exciting opportunities for further study, there are also potential challenges to consider:
- Complexity of calculations: The calculations involved in deriving the exact analytic solution for the BTZ-ModMax black hole and evaluating its thermodynamic properties may be mathematically and computationally complex.
- Validity of the NLED model: The ModMax theory is a new NLED model, and its applicability and validity in describing real physical systems would need to be examined.
- Experimental constraints: Testing the predictions of the BTZ-ModMax black hole or the ModMax theory experimentally could be challenging due to the constraints of current technology or the limitations of observational data.
In conclusion, the discovery of the BTZ-ModMax black hole solution in the presence of the Modification Maxwell theory opens up new possibilities for studying the thermodynamics and stability of black holes. This research provides a foundation for future investigations in understanding the behavior of black holes and their connections to other areas of physics.
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by jsendak | Mar 13, 2024 | GR & QC Articles
arXiv:2403.07044v1 Announce Type: new
Abstract: In this study, we explore the influence of quark-antiquark confinement on the deflection angle within the framework of nonlinear electrodynamic (NED) black holes. To achieve this, we establish the appropriate optical spacetime metric and subsequently determine the Gaussian optical curvature. Utilizing the Gauss-Bonnet theorem, we investigate the impact of quark-antiquark confinement on the deflection angle exhibited by NED black holes. Additionally, we delve into the effects of a cold non-magnetized plasma medium and also axion-plasmon on gravitational lensing. Our findings highlight the significance of the axion-plasmon effect on the optical properties of NED black holes, particularly its influence on gravitational lensing. This exploration is particularly relevant in the context of the axion’s potential role as a dark matter candidate. The multifaceted interplay between quark-antiquark confinement, nonlinear electrodynamics, and plasma dynamics provides a nuanced understanding of gravitational lensing phenomena. These insights contribute to ongoing research in dark matter studies and offer avenues for further theoretical and observational investigations in astrophysics.
Exploring the Influence of Quark-Antiquark Confinement on Deflection Angle in Nonlinear Electrodynamic (NED) Black Holes
In this study, we take a closer look at the impact of quark-antiquark confinement on the deflection angle within the framework of nonlinear electrodynamic (NED) black holes. By establishing the appropriate optical spacetime metric and determining the Gaussian optical curvature, we investigate how quark-antiquark confinement affects the deflection angle exhibited by NED black holes. In addition, we also examine the effects of a cold non-magnetized plasma medium and the presence of axion-plasmon on gravitational lensing.
Our results demonstrate the significance of the axion-plasmon effect on the optical properties of NED black holes, with particular implications for gravitational lensing. This finding is especially relevant in the context of the axion’s potential role as a dark matter candidate. By understanding the intricate interplay between quark-antiquark confinement, nonlinear electrodynamics, and plasma dynamics, we gain a more nuanced understanding of gravitational lensing phenomena.
Roadmap for Future Research and Opportunities
1. Investigating the Axion-Plasmon Effect
Further research should be conducted to delve deeper into the axion-plasmon effect on gravitational lensing in NED black holes. This effect has shown significant potential in shaping the optical properties of these black holes and understanding its implications can provide new insights into dark matter studies.
2. Quantifying the Effects of Cold Non-Magnetized Plasma
Building upon the findings of this study, it is necessary to explore the effects of cold non-magnetized plasma on gravitational lensing in NED black holes. Understanding the role of plasma dynamics and its impact on deflection angle can enhance our understanding of astrophysical phenomena.
3. Theoretical and Observational Investigations
Future research should involve both theoretical studies and observational investigations in astrophysics. By combining theoretical models and observational data, we can validate and refine our understanding of gravitational lensing in the context of quark-antiquark confinement and NED black holes.
4. Challenges and Opportunities
It is important to note that there may be challenges in conducting further research in this area. The complexity of nonlinear electrodynamics and plasma dynamics, along with the scarcity of observational data, may pose hurdles to overcome. However, these challenges also present opportunities for innovative research methodologies and collaborations between theoretical and observational astrophysicists.
Conclusion
Our study sheds light on the influence of quark-antiquark confinement on deflection angles in NED black holes. By considering the effects of axion-plasmon and cold non-magnetized plasma, we have deepened our understanding of gravitational lensing phenomena and their implications for dark matter studies. Moving forward, future research should focus on investigating the axion-plasmon effect, quantifying the effects of plasma, and conducting theoretical and observational investigations to further refine our understanding of these phenomena.
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by jsendak | Jan 5, 2024 | GR & QC Articles
In the present work, considering critical gravity as a gravity model, an
electrically charged topological Anti-de Sitter black hole with a matter source
characterized by a nonlinear electrodynamics framework is obtained. This
configuration is defined by an integration constant, three key structural
constants, and a constant that represents the topology of the event horizon.
Additionally, based on the Wald formalism, we probe that this configuration
enjoys non-trivial thermodynamic quantities, establishing the corresponding
first law of black hole thermodynamics, as well as local stability under
thermal and electrical fluctuations. Moreover, the quasinormal modes and the
greybody factor are also calculated by considering the spherical situation. We
found that the quasinormal modes exhibit a straightforward change for
variations of one of the structural constants.
Examining the Conclusions of the Text
The text discusses a gravity model known as critical gravity and presents the results of obtaining an electrically charged topological Anti-de Sitter black hole with a matter source characterized by a nonlinear electrodynamics framework. The configuration of this black hole is determined by several constants, including an integration constant, three key structural constants, and a constant representing the topology of the event horizon.
Using the Wald formalism, the text demonstrates that this configuration of the black hole has non-trivial thermodynamic quantities, leading to the establishment of the first law of black hole thermodynamics. It is also shown to be locally stable under thermal and electrical fluctuations.
In addition to thermodynamics, the text also calculates the quasinormal modes and the greybody factor for the spherical situation. It is noted that variations in one of the structural constants result in a straightforward change in the quasinormal modes.
Future Roadmap: Challenges and Opportunities
To further advance the understanding and implications of the obtained electrically charged topological Anti-de Sitter black hole, future research can focus on several areas:
1. Exploring the Physical Implications
Investigating the physical properties and implications of the obtained black hole configuration can provide valuable insights. This can include studying its interaction with other particles, fields, or external forces. Additionally, understanding how the nonlinear electrodynamics framework influences the behavior of the black hole is an important avenue for further exploration.
2. Probing the Thermodynamic Properties
Further research can delve deeper into the non-trivial thermodynamic quantities exhibited by this black hole configuration. Identifying the specific relationships between these quantities and their behaviors under different conditions can contribute to a more comprehensive understanding of black hole thermodynamics.
3. Investigating Stability and Fluctuations
Continued investigation into the local stability of the obtained black hole under thermal and electrical fluctuations is crucial. Understanding the response of the black hole to fluctuations in temperature and charge can provide insights into its robustness and potential for perturbations.
4. Studying Quasinormal Modes
The observed straightforward change in quasinormal modes for variations in one of the structural constants paves the way for studying the behavior of these modes in more detail. Investigating how changes in the configuration parameters influence the quasinormal modes can offer valuable information about the black hole’s vibrational characteristics.
Conclusion:
The obtained electrically charged topological Anti-de Sitter black hole with a matter source characterized by a nonlinear electrodynamics framework presents several avenues for future research. Exploring its physical implications, understanding its thermodynamic properties, investigating stability and fluctuations, and studying quasinormal modes can advance our understanding of black holes in this specific gravity model. Overcoming the challenges and leveraging the opportunities presented by this research can contribute to breakthroughs in gravitational physics and thermodynamics.
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by jsendak | Dec 30, 2023 | GR & QC Articles
We construct asymptotically flat, static spherically symmetric black holes
with regular centre in $f(R,T)$ gravity coupled to nonlinear electrodynamics
Lagrangian. We obtain generalized metric function of the Bardeen and Hayward
black holes. The null, weak and strong energy conditions of these solutions are
discussed. All the energy conditions hold outside the black hole’s outer event
horizon by appropriated choices of parameters. Quasinormal mode of massive
scalar perturbation is also investigated. Quasinormal frequencies are computed
via the sixth order Wentzel-Kramers-Brillouin (WKB) with Pad’e approximation.
All the imaginary parts of the frequencies are found to be negative. Finally,
we provide an analysis in the eikonal limit.
In this study, we have examined the construction of asymptotically flat, static spherically symmetric black holes with regular centers in the context of $f(R,T)$ gravity coupled to nonlinear electrodynamics Lagrangian. The goal was to obtain the generalized metric function for Bardeen and Hayward black holes.
We have also discussed the null, weak, and strong energy conditions of these solutions. It was found that by appropriately choosing the parameters, all the energy conditions hold outside the black hole’s outer event horizon.
In addition to analyzing the energy conditions, we have investigated the quasinormal mode of massive scalar perturbation in these black holes. The quasinormal frequencies were computed using the sixth-order Wentzel-Kramers-Brillouin (WKB) method with Padé approximation. Notably, all the imaginary parts of the frequencies were found to be negative.
Finally, we have provided an analysis in the eikonal limit. This analysis helps us understand the behavior of waves as they approach the black hole’s horizon.
Future Roadmap
Building on this research, there are several potential challenges and opportunities on the horizon:
1. Generalization to other black hole geometries
While this study focused on asymptotically flat, static spherically symmetric black holes, there is room for examining other geometries. Generalizing these findings to more complex black hole configurations could provide valuable insights into the behavior of black holes in different spacetime backgrounds.
2. Exploration of alternative gravity theories
The $f(R,T)$ gravity framework used in this study offers a fascinating approach to describing black holes. Exploring other alternative gravity theories and understanding their implications for black hole physics could lead to innovative results and potential breakthroughs in our understanding of gravity.
3. Investigation of other perturbation modes
While this study focused on the quasinormal mode of massive scalar perturbation, exploring the behavior of other perturbation modes, such as gravitational or electromagnetic perturbations, could provide a more complete understanding of the dynamics near black holes.
4. Experimental verification
One of the essential steps in validating the theoretical findings is experimental verification. Collaborating with observational astronomers and designing experiments to test the predictions made based on the constructed black hole solutions would provide further confirmation of the validity of these models.
In conclusion, this study has made significant progress in constructing and analyzing asymptotically flat, static spherically symmetric black holes in the context of $f(R,T)$ gravity coupled to nonlinear electrodynamics. The future roadmap outlined above presents exciting directions for further research and exploration in black hole physics.
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