arXiv:2412.14230v1 Announce Type: new
Abstract: We find an exact black hole solution for the Einstein gravity in the presence of Ay’on–Beato–Garc’ia non-linear electrodynamics and a cloud of strings. The resulting black hole solution is singular, and the solution becomes non-singular when gravity is coupled with Ay’on–Beato–Garc’ia non-linear electrodynamics only. This solution interpolates between Ay’on–Beato–Garc’ia black hole, Letelier black hole and Schwarzschild black hole { in the absence of cloud of strings parameter, magnetic monopole charge and both of them, respectively}. We also discuss the thermal properties of this black hole and find that the solution follows the modified first law of black hole thermodynamics. Furthermore, we estimate the solution’s black hole shadow and quasinormal modes.
Conclusion
The article presents an exact black hole solution for the Einstein gravity in the presence of Ay’on–Beato–Garc’ia non-linear electrodynamics and a cloud of strings. The solution is initially singular but becomes non-singular when gravity is coupled with Ay’on–Beato–Garc’ia non-linear electrodynamics only. This solution connects Ay’on–Beato–Garc’ia black hole, Letelier black hole, and Schwarzschild black hole in different scenarios. The thermal properties of the black hole are discussed, and it follows the modified first law of black hole thermodynamics. Additionally, the article estimates the black hole shadow and quasinormal modes of the solution.
Future Roadmap
Potential Challenges
- One potential challenge in the future is to further investigate the singularity of the black hole solution and understand its physical implications.
- It would be valuable to explore the behavior of the black hole solution under different scenarios, such as considering the presence of magnetic monopole charge or a cloud of strings parameter.
- Another challenge is to validate the results experimentally or through observational data.
Potential Opportunities
- Further research can be conducted to understand the relationship between Ay’on–Beato–Garc’ia non-linear electrodynamics and the non-singularity of the black hole solution.
- The modified first law of black hole thermodynamics observed in this solution opens up opportunities for exploring the thermodynamic properties of other exact black hole solutions.
- The estimation of the black hole shadow and quasinormal modes can be improved and refined, providing more accurate predictions for future observations.
In conclusion, the article presents an intriguing exact black hole solution with interesting properties. The future roadmap involves addressing potential challenges related to the singularity, conducting further investigations under different scenarios, and validating the results. Additionally, there are exciting opportunities to explore the relationship between Ay’on–Beato–Garc’ia non-linear electrodynamics and non-singularity, study the thermodynamic properties of other black hole solutions, and refine estimations of the black hole shadow and quasinormal modes.