Thermodynamic signatures in black hole geometry and harmonic oscillations with nonlinear electromagnetic fields and phantom global monopole
Bibliographic record
Abstract
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.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".