Stability analysis of multiple scalar field cosmologies with matter
Bibliographic record
Abstract
We investigate the dynamics of a class of Robertson-Walker spacetimes containing multiple scalar fields and ordinary barotropic matter. The potentials for the scalar fields are assumed to be of an exponential form that are multiplicatively coupled. In this case the effective scalar field potential for the m scalar fields j , (1 j m ), has the form V eff = j = 1 m V 0 e k j j . We show that the power-law inflationary solution is the local attractor if j = 1 m k j 2 < 2. In particular, in the case of two scalar fields, we show that the power-law inflationary solution is indeed the global attractor and hence we make the argument that the power-law inflationary solution is also the global attractor in the m scalar field case. If j = 1 m k j 2 > 2 then we further argue that the curvature scaling solution is the global attractor for the open or negatively curved models. If j = 1 m k j 2 > 2 then we show that the global attractor for the flat or zero-curvature models is either a power-law solution, a matter scaling solution, or a massless scalar field solution.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 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".