Dynamics of viscous dissipative gravitational collapse in <i>f</i>(<i>R</i>, <i>T</i>) gravity with full causal approach
Bibliographic record
Abstract
We present a study of dissipative gravitational collapse in spherically symmetric gravitating spacetime by applying the Misner–Sharp approach in metric f(R, T) gravity. This work is an extension of the study by Herrera, Di Prisco, Fuenmayor, and Troconis, Int. J. Mod. Phys. D, 18, 129 (2009), that was already done with the general theory of relativity. To this end, we have formulated a set of equations of motion by using f(R, T) = R + λT (where R is the Ricci scalar, T is the trace of stress–energy tensor, and λ is the coupling constant), as well as a stress–energy tensor of viscous and heat conducting fluid. The conservation equations have been also derived for such setup. Both the conservation equations and equation of motion provide the dynamical equations in terms of the theory of gravity. Furthermore, the causal thermodynamic approach introduced by Müller–Israel–Stewart has been used to formulate the transportation equations of heat flux and bulk viscosity. Then, we perform the coupling of dynamical equations and transportation equations. The effects of bulk and shear viscosities have been investigated in detail. Finally, we studied the impact of the matter curvature coupling parameter λ on the dynamics of the gravitating source.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 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 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| 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".