Journal of Holography Applications in Physics
Holographic Phase Transition of AdS Black Hole Solution Coupled with Nonlinear Electrodynamics
Document Type : Regular article
Authors
Department of Physics, Institute of Applied Science and Humanities, GLA University, Mathura 281406, India
Abstract
This study presents a novel $AdS$ black hole (BH) solution coupled with NLED and a cloud of string. Our solution interpolates to the $AdS$ Letailier BH in the absence of magnetic monopole charge ($q$) and deviation parameter ($k$), $AdS$ Hayward Letailier BH when in the absence of deviation parameter, $AdS$ regular Letailier BH in the absence of magnetic monopole charge, as well as Schwarzschild BH in the limit of $q = 0, k = 0, a = 0$. We have studied the horizon structure of the obtained solution; the BH has two horizons (event and Cauchy) in contrast with the Schwarzschild BH. The thermodynamic quantities associated with the BH are modified in the presence of magnetic monopole charge, cloud of string parameter, and a deviation parameter. The first law of BH thermodynamics is modified in the presence of magnetic monopole charge and deviation parameter. Additionally, we examine the thermodynamics of the $AdS$ Letailier regular BH solution, considering the cosmological constant ($\Lambda$) as thermodynamic pressure ($P$), and analyze the critical points and phase structure of the BH within an extended phase space. The plot of Gibbs free energy against temperature exhibits a swallow-tail behaviour, signifying a first-order phase transition that concludes at a second-order phase transition.
Keywords
Main Subjects
Article PDF
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[22] S. W. Wei, Y. X. Liu, and R. B. Mann, “Repulsive Interactions and Universal Properties of Charged Anti–de Sitter Black Hole Microstructures” Phys. Rev. Lett. 123(7), 071103 (2019). DoI: 10.1103/PhysRevLett.123.071103
[23] X. X. Zeng, Y. W. Han, and D. Y. Chen, “Thermodynamics and weak cosmic censorship conjecture of BTZ black holes in extended phase space” Chin. Phys. C 43(10), 105104 (2019). DOI: 10.1088/1674-1137/43/10/105104
[24] K. J. He, G. P. Li, and X. Y. Hu, “Violations of the weak cosmic censorship conjecture in the higher dimensional f(R) black holes with pressure” Eur. Phys. J. C 80(3), 209 (2020). DOI: 10.1140/epjc/s10052-020-7669-4
[25] B. P. Dolan, “Pressure and volume in the first law of black hole thermodynamics” Class. Quantum Grav. 28, 235017 (2011). DOI: 10.1088/0264-9381/28/23/235017
[26] B. Hazarika and P. Phukon, ”Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes”, Nucl. Phys. B 1012, 116837 (2025). DOI: 10.1016/j.nuclphysb.2025.116837
[27] A. Sood, M. S. Ali, J. K. Singh and S. G. Ghosh, ”Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter”, Chin. Phys. C 48(6), 065109 (2024). DOI: 10.1088/1674-1137/ad361f
[28] F. Rahmani and M. Sadeghi, ”The phase transition of 4D Yang–Mills charged GB AdS black hole with cloud of strings”, Mod. Phys. Lett. A 39(35), 2450164 (2024). DOI: 10.1142/S0217732324501645
[29] Y. Sekhmani, J. Rayimbaev, G. G. Luciano, R. Myrzakulov and D. J. Gogoi, ”Phase structure of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state”, Eur. Phys. J. C 84(3), 227 (2024). DOI: 10.1140/epjc/s10052-024- 12597-w
[30] S. W. Wei and Y. X. Liu, ”Thermodynamic nature of black holes in coexistence region”, Sci. China Phys. Mech. Astron. 67(5), 250412 (2024). DOI: 10.48550/arXiv.2308.11886
[31] X. Q. Li, H. P. Yan, L. L. Xing and S. W. Zhou, ”Critical behavior of AdS black holes surrounded by dark fluid with Chaplygin-like equation of state”, Phys. Rev. D 107(10), 104055 (2023). DOI: 10.1103/PhysRevD.107.104055
[32] G. G. Luciano and E. Saridakis, ”P - v criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics”, JHEP 12, 114 (2023). DOI: 10.1007/JHEP12
[33] Z. M. Xu and R. B. Mann, ”Thermodynamic supercriticality and complex phase diagram for the AdS black hole”, [arXiv:2504.05708 [gr-qc]].
[34] R. Somogyfoki and P. Ván, ”Volume in the Extensive Thermodynamics of Black Holes”, [arXiv:2503.22482 [gr-qc]].
[35] A. Baruah and P. Phukon, ”Restricted Phase Space Thermodynamics of 4D Dyonic AdS Black Holes: Insights from Kaniadakis Statistics and Emergence of Superfluid λ-Phase Transition”, [arXiv:2412.04375 [hep-th]].
[36] S. Masood and S. Mikki, ”The thermodynamic profile of AdS black holes in Lorentz invariance-violating Bumblebee and Kalb-Ramond gravity”, [arXiv:2411.06188 [gr-qc]].
[37] Y. Z. Du, H. F. Li, Y. B. Ma and Q. Gu, ”Topology and phase transition for EPYM AdS black hole in thermal potential”, Nucl. Phys. B 1006, 116641 (2024). DOI: 10.1016/j.nuclphysb.2024.116641
[38] J. Yang and R. B. Mann, ”Dynamic behaviours of black hole phase transitions near quadruple points”, JHEP 08, 028 (2023). DOI: 10.1007/JHEP08
[39] Z. F. Mai, R. Xu, D. Liang and L. Shao, ”Extended thermodynamics of the bumblebee black holes”,Phys. Rev. D 108(2), 024004 (2023). DOI: 10.1103/PhysRevD.108.024004
[40] A.D. Sakharov, ”The Initial Stage of an Expanding Universe and the Appearance of a Nonuniform Distribution of Matter” Sov. Phys. JETP,22, 241 (1966).
[41] E.B. Gliner, ”Algebraic Properties of the Energy-momentum Tensor and Vacuum-like States of Matter” Sov. Phys. JETP, 22, 378 (1966).
[42] D. V. Singh, S. Upadhyay, Y. Myrzakulov, K. Myrzakulov, B. Singh and M. Kumar, ”Thermodynamic behavior and phase transitions of black holes with a cloud of strings and perfect fluid dark matter”, Nucl. Phys. B 1016, 116915 (2025). DOI: 10.1016/j.nuclphysb.2025.116915
[43] 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: 10.22128/jhap.2024.884.1096
[44] A. Kumar, D. V. Singh and S. Upadhyay, ”Ayón–Beato–García black hole coupled with a cloud of strings: Thermodynamics, shadows and quasinormal modes”, Int. J. Mod. Phys. A 39(31), 2450136 (2024). DOI: 10.1142/S0217751X24501367
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Volume 6, Issue 2
January 2026Pages 70-86
- Receive Date: 16 November 2025
- Revise Date: 11 December 2025
- Accept Date: 11 December 2025