Thermodynamics and circular motion in a 4D Einstein–Gauss–Bonnet black hole embedded in quintessence
Bibliographic record
Abstract
This manuscript analyzes the thermodynamical behavior of 4D Einstein–Gauss–Bonnet (EGB) black holes embedded in quintessence matter through discussions of mass function, Hawking temperature, surface gravity, and entropy. The investigation examines the PV criticality of the EGB black hole, comparing its isotherms with those of a van der Waals fluid. It proposes an analogy to a liquid–gas phase transition, with the small black hole phase analogous to liquid and the large black hole phase analogous to gas. Additionally, we analyze the circular motion of a timelike particle around the black hole, considering constraints on the coupling constant’s sign and exploring characteristics like angular momentum, energy, the innermost stable circular orbit, photon sphere, and the stability of circular orbits. Furthermore, we use the Lyapunov exponent, a function of radial distance, to determine the stability of orbits, particularly in the context of particle orbits around a black hole in the curved spacetime.
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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 | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 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".