Thermodynamic signatures in black hole geometry and harmonic oscillations with nonlinear electromagnetic fields and phantom global monopole
Noori Gashti S. Sekhmani Y. Afshar M.A.S. Alipour M.R. Khodajou Masouleh M. Pourhassan B. Sadeghi J. Rayimbaev J.
January 2026Elsevier B.V.
Nuclear Physics B
2026#1022
We investigate the thermodynamic and dynamical properties of charged black holes influenced by nonlinear electromagnetic fields in the presence of a phantom global monopole. Focusing on the thermodynamic topology, we analyze the distribution and stability of topological charges derived from the free energy landscape, revealing a consistent total topological charge characteristic of the Reissner-Nordström black hole class. Extending this approach to photon sphere configurations, we demonstrate that their topological charges remain invariant under variations of the symmetry-breaking energy scale and coupling strengths, reflecting inherent geometric and thermodynamic stability. Additionally, we perform a comprehensive study of quasi-periodic oscillation (QPO) frequencies arising in the spacetime of such black holes, incorporating couplings to both phantom scalar and global monopole sectors. By systematically varying the monopole coupling parameter η , the phantom coupling ζ , and the magnetic charge Q , we elucidate their distinct influences on radial epicyclic, orbital, and periastron precession frequencies. Our results indicate that stronger monopole and phantom couplings suppress epicyclic oscillation amplitudes and shift characteristic frequencies outward, while increased magnetic charge stabilizes orbital motion closer to the black hole by lowering oscillation frequencies. These modifications suggest potential observational signatures in accretion phenomena and X-ray binaries, offering novel avenues to probe beyond-Einstein gravity in strong-field regimes. Future work will extend these analyses to rotating black holes, incorporate higher-order nonlinear electrodynamics effects, and explore implications for gravitational wave emissions.
Photon sphere , Quasi-periodic oscillation , Thermodynamic topology
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School of Physics, Damghan University, Damghan, 3671641167, Iran
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, Nizwa 616, 33, Oman
Department of Physics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, 47416-95447, Iran
Canadian Quantum Research Center, 32 Ave, Vernon, 204-3002 V1T 2L7, BC, Canada
Department of Physics, Shahid Beheshti University, G. C Tehran, Evin, Iran
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
School of Physics
Center for Theoretical Physics
Institute of Nuclear Physics
Department of Mathematical and Physical Sciences
Department of Physics
Canadian Quantum Research Center
Department of Physics
National University of Uzbekistan
University of Tashkent for Applied Sciences
Urgench State University
Tashkent State Technical University
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