Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes

Black holes in (2+1) dimensions serve as valuable toy models for understanding key aspects of real astrophysical black holes, providing insights into quantum gravity and thermodynamic properties. In this work, we present a novel (2+1)-dimensional black hole solution coupled with nonlinear electrodyn...

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Main Authors: Erdem Sucu, İzzet Sakallı
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Nuclear Physics B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325001038
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author Erdem Sucu
İzzet Sakallı
author_facet Erdem Sucu
İzzet Sakallı
author_sort Erdem Sucu
collection DOAJ
description Black holes in (2+1) dimensions serve as valuable toy models for understanding key aspects of real astrophysical black holes, providing insights into quantum gravity and thermodynamic properties. In this work, we present a novel (2+1)-dimensional black hole solution coupled with nonlinear electrodynamics (NLED). This extension of the well-known charged Bañados-Teitelboim-Zanelli (BTZ) black hole allows for a detailed investigation of the geometric and thermodynamic properties influenced by nonlinear electromagnetic fields. The introduction of the NLED parameter α modifies the black hole metric, leading to significant corrections in thermodynamic quantities such as the Hawking temperature and entropy. Using quantum tunneling methods, we derive the modified Hawking temperature, showing its explicit dependence on NLED corrections. Furthermore, we analyze entropy modifications that incorporate quantum statistical mechanics methods, revealing the impact of logarithmic corrections and the Generalized Uncertainty Principle (GUP). Additionally, we examine the propagation of a massive scalar field in this black hole background by solving the radial Klein-Gordon equation numerically. The NLED parameter introduces additional terms in the effective potential, affecting quantum field scattering, particle trapping, and the behavior of the photon sphere. We further study geodesic motion and highlight the influence of NLED on the deflection of light and the black hole shadow, suggesting potential observational signatures of these corrections. Finally, we investigate fundamental frequencies associated with quasi-periodic oscillations (QPOs) in the black hole accretion disk, offering a possible avenue for testing NLED effects through astrophysical observations. Therefore, this study offers insights into the observable signatures of NLED-modified black holes and their potential relevance in astrophysical and gravitational wave experiments.
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spelling doaj-art-e483039a13b948779ffbfdeb132d57cc2025-08-20T02:30:15ZengElsevierNuclear Physics B0550-32132025-06-01101511689410.1016/j.nuclphysb.2025.116894Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holesErdem Sucu0İzzet Sakallı1Physics Department, Eastern Mediterranean University, Famagusta, 99628 North Cyprus, via Mersin 10, TurkiyeCorresponding author.; Physics Department, Eastern Mediterranean University, Famagusta, 99628 North Cyprus, via Mersin 10, TurkiyeBlack holes in (2+1) dimensions serve as valuable toy models for understanding key aspects of real astrophysical black holes, providing insights into quantum gravity and thermodynamic properties. In this work, we present a novel (2+1)-dimensional black hole solution coupled with nonlinear electrodynamics (NLED). This extension of the well-known charged Bañados-Teitelboim-Zanelli (BTZ) black hole allows for a detailed investigation of the geometric and thermodynamic properties influenced by nonlinear electromagnetic fields. The introduction of the NLED parameter α modifies the black hole metric, leading to significant corrections in thermodynamic quantities such as the Hawking temperature and entropy. Using quantum tunneling methods, we derive the modified Hawking temperature, showing its explicit dependence on NLED corrections. Furthermore, we analyze entropy modifications that incorporate quantum statistical mechanics methods, revealing the impact of logarithmic corrections and the Generalized Uncertainty Principle (GUP). Additionally, we examine the propagation of a massive scalar field in this black hole background by solving the radial Klein-Gordon equation numerically. The NLED parameter introduces additional terms in the effective potential, affecting quantum field scattering, particle trapping, and the behavior of the photon sphere. We further study geodesic motion and highlight the influence of NLED on the deflection of light and the black hole shadow, suggesting potential observational signatures of these corrections. Finally, we investigate fundamental frequencies associated with quasi-periodic oscillations (QPOs) in the black hole accretion disk, offering a possible avenue for testing NLED effects through astrophysical observations. Therefore, this study offers insights into the observable signatures of NLED-modified black holes and their potential relevance in astrophysical and gravitational wave experiments.http://www.sciencedirect.com/science/article/pii/S0550321325001038Black holeKlein-Gordon equationNonlinear electrodynamicsKeplerian frequenciesOscillationsCorrected entropy
spellingShingle Erdem Sucu
İzzet Sakallı
Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
Nuclear Physics B
Black hole
Klein-Gordon equation
Nonlinear electrodynamics
Keplerian frequencies
Oscillations
Corrected entropy
title Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
title_full Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
title_fullStr Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
title_full_unstemmed Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
title_short Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes
title_sort nonlinear electrodynamics effects on the geometry thermodynamics and quantum dynamics of 2 1 dimensional black holes
topic Black hole
Klein-Gordon equation
Nonlinear electrodynamics
Keplerian frequencies
Oscillations
Corrected entropy
url http://www.sciencedirect.com/science/article/pii/S0550321325001038
work_keys_str_mv AT erdemsucu nonlinearelectrodynamicseffectsonthegeometrythermodynamicsandquantumdynamicsof21dimensionalblackholes
AT izzetsakallı nonlinearelectrodynamicseffectsonthegeometrythermodynamicsandquantumdynamicsof21dimensionalblackholes