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Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids
General Relativity and Quantum Cosmology · Submitted 15 Feb 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The paper establishes the result that solutions of the type described in the title of the article are only those that have been already presented in the literature.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The paper establishes the result that solutions of the type described in the title of the article are only those that have been already presented in the literature. The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satistfy. There is no attempt to obtain exact solutions. Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The paper establishes the result that solutions of the type described in the title of the article are only those that have been already presented in the literature. | result 0.99 | 0.67 | 0.88 | asserted 1.00 |
| s1 | The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satistfy. | method 0.64 | 0.92 | 0.07 | asserted 0.99 |
| s2 | There is no attempt to obtain exact solutions. | limitation 0.55 | 0.86 | 0.05 | asserted 1.00 |
| s3 | Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity. | interpretation 0.40 | 0.91 | 0.19 | asserted 1.00 |
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The paper
Original abstract
The paper establishes the result that solutions of the type described in the title of the article are only those that have been already presented in the literature. The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satistfy. There is no attempt to obtain exact solutions. Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity.
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Papers whose main result relates to this one's
States a conflicting result 2 papers
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A conjecture stated by Raychaudhuri which claims that the only physical perfect fluid non-rotating non-singular cosmological models are comprised in the Ruiz-Senovilla and Fernandez-Jambrina families is shown to be incorrect.
Comment on Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids · 1.00
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A theorem stated by Raychaudhuri which claims that the only physical non-singular cosmological models are comprised in the Ruiz-Senovilla family is shown to be incorrect.
Comment on ``Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids'' · 1.00
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