Journal of Holography Applications in Physics
Thermodynamic Structure of Einstein-Gauss-Bonnet Regular Black Holes Coupled with Cloud of String
Document Type : Regular article
Authors
1 Department Physics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406 Uttar Pradesh, India
2 Department of Civil Engineering, Faculty of Engineering, Marwadi University, Rajkot, Gujarat 360003, India
Abstract
We construct several black holes coupled with the nonlinear electrodynamics (NLED) known as a regular black hole, which becomes Maxwell's theory in the weak field limit. We present an exact regular black hole solution in the presence of a cloud of strings (CoS), and Einstein-Gauss-Bonnet (EGB) gravity. We study the global properties of the solutions and derive the corrected first law of thermodynamics, because the first law of thermodynamics is modified in the presence of NLED. In addition, we have studied the thermodynamics properties associated with the EGB regular black hole solution, the thermodynamic quantities (Mass, Temperature, Entropy, Heat Capacity and Free Energy) is change in the presence of NLED, CoS, and EGB parameter.
Keywords
Main Subjects
Article PDF
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[25] E. Ayon-Beato and A. Garcia, ”Regular black hole in general relativity coupled to nonlinear electrodynamics”, Phys. Rev. Lett. 80, 5056 (1998). DOI: doi.org/10.1103/PhysRevLett.80.5056
[26] O.B. Zaslavskii, ”Regular black holes with flux tube core”, Phys. Rev. D 80, 064034 (2009). DOI: doi.org/10.1103/PhysRevD.80.064034
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[28] S. Ansoldi, ”Spherical black holes with regular center: A Review of existing models including a recent realization with Gaussian sources”, DOI: doi.org/10.48550/arXiv.0802.0330
[29] J. P. S. Lemos and V.T. Zanchin, ”Regular black holes: Electrically charged solutions, Reissner-Nordstróm outside a de Sitter core”,Phys. Rev. D 83, 124005 (2011). DOI: doi.org/10.1103/PhysRevD.83.124005
[30] L. Xiang, Y. Ling and Y. G. Shen, ”Singularities and the Finale of Black Hole Evaporation”, Int. J. Mod. Phys. D 22, 1342016 (2013). DOI: doi.org/10.1142/S0218271813420169
[31] H. Culetu, ”On a regular charged black hole with a nonlinear electric source”, Int. J. Theor. Phys. 54, 2855 (2015). DOI: doi.org/10.1007/s10773-015-2521-6
[32] L. Balart and E. C. Vagenas, ”Regular black hole metrics and the weak energy condition”, Phys. Lett. B 730, 14 (2014). DOI: doi.org/10.1016/j.physletb.2014.01.024
[33] I. G. Dymnikova,”Thermodynamics of horizons in a globally regular spherically symmetric spacetime”, Int. J. of Mod. Phys. D, 5 529 (1996); Phys. Lett. B 685, 12 (2010); Gen. Rel. Grav. 24, 235 (1992). DOI: doi.org/10.1134/S0202289312030048
[34] H. K. Sudhanshu, D. V. Singh, S. Upadhyay, Y. Myrzakulov and K. Myrzakulov, ”Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings”, Phys. Dark Univ. 46 (2024), 101648. DOI: doi.org/10.1016/j.dark.2024.101648
[35] A. Kumar, D. V. Singh and S. Upadhyay, ”Impact of Perfect Fluid Dark Matter on the Thermodynamics of AdS Ayón-Beato-GarcÍa Black Holes”, JHAP 4(4), 85 (2024). DOI: doi.org/10.22128/jhap.2024.884.1096
[36] D. V. Singh, S. G. Ghosh and S. D. Maharaj, ”Exact nonsingular black holes and thermodynamics”, Nucl. Phys. B 981, 115854 (2022). DOI: doi.org/10.1016/j.nuclphysb.2022.115854
[37] A. Kumar, D. V. Singh, Y. Myrzakulov, G. Yergaliyeva and S. Upadhyay, ”Exact solution of Bardeen black hole in Einstein–Gauss–Bonnet gravity”, Eur. Phys. J. Plus 138(12), 1071 (2023). DOI: 10.1140/epjp/s13360-023-04718-3
[38] P. Paul, S. Upadhyay and D. V. Singh, ”Charged AdS black holes in 4D Einstein– Gauss–Bonnet massive gravity”, Eur. Phys. J. Plus 138(6), 566 (2023). DOI: 10.1140/epjp/s13360-023-04176-x
[39] B. Pourhassan, M. Dehghani, S. Upadhyay, I. Sakalli and D. V. Singh, ”Exponential corrected thermodynamics of Born–Infeld BTZ black holes in massive gravity”, Mod. Phys. Lett. A 37(33), 2250230 (2022). DOI: doi.org/10.1142/S0217732322502303
[40] S. Upadhyay and D. V. Singh, ”Black hole solution and thermal properties in 4D AdS Gauss–Bonnet massive gravity”, Eur. Phys. J. Plus 137(3), 383 (2022). DOI: 10.1140/epjp/s13360-022-02569-y
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Volume 6, Issue 2
January 2026Pages 87-103
- Receive Date: 16 November 2025
- Revise Date: 15 December 2025
- Accept Date: 22 December 2025