A perfect fluid model for compact stars
Bibliographic record
Abstract
In the framework of Einstein’s theory of general relativity we present a new interior solution with a perfect fluid; this is constructed from the proposal of a gravitational redshift factor. The geometry is regular and density and pressure are monotonic decreasing functions; furthermore, the sound speed is smaller than the light speed and monotonic increasing. The solution depends on a parameter w ∈ (0, 2.037 550 932 5] related to the compactness of the star u = GM/c 2 R, the maximum value of which is u = 0.266 085 831 6, which allows for describing compact stars like quark stars or neutron stars. Although there is a diversity of stars for which the model can be used, we only apply this solution to describe the interior of a neutron star PSR J0348+0432. According to the observations, it is known that its mass M = (2.01 ± 0.04)M ⊙ and its radius is between 12 062 and 12 957 km, so the value of the compactness is in the range u ∈ [0.224 484 5, 0.250 933 8]. In addition to the decreasing behavior of the mentioned pressure and density functions, the results are consistent with the density value range typical of neutron stars and the maximal central density of the star result to be 1.283 818 × 10 18 kg/m 3 .
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| 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 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 teacher head, 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".