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Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$

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Ernesto Nungesser

General Relativity and Quantum Cosmology · Submitted 30 Aug 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We are able to conclude that after a possible basis change the future of the non-diagonal spacetimes in consideration is asymptotically diagonal.

how it is stated · asserted 0.71 read the record →

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arXiv ID1208.6158 (version 1)
Pith IDP5J4OV2T, Pith's permanent record of this paper and its review
CitationErnesto Nungesser. "Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$." arXiv:1208.6158 (2012). https://pith.science/paper/P5J4OV2T
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,254 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.36 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In a recent paper arXiv:1208.4231 we have treated the future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$. We have been able now to remove the reflection symmetry assumption, thus treating the non-diagonal case. Apart from the increasing complexity the methods have been essentially the same as in the diagonal case, showing that they are thus quite powerful. Here the challenge was to put the equations in a form that permits the use of the previous results. We are able to conclude that after a possible basis change the future of the non-diagonal spacetimes in consideration is asymptotically diagonal.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In a recent paper arXiv:1208.4231 we have treated the future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$. background 0.97 0.76 0.04 asserted 0.98
s1 We have been able now to remove the reflection symmetry assumption, thus treating the non-diagonal case. contribution 0.97 0.95 0.12 asserted 1.00
s2 Apart from the increasing complexity the methods have been essentially the same as in the diagonal case, showing that they are thus quite powerful. interpretation 0.72 0.73 0.04 asserted 0.99
s3 Here the challenge was to put the equations in a form that permits the use of the previous results. method 0.85 0.66 0.03 asserted 0.99
s4 We are able to conclude that after a possible basis change the future of the non-diagonal spacetimes in consideration is asymptotically diagonal. result 1.00 0.94 0.92 asserted 0.71

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In a recent paper arXiv:1208.4231 we have treated the future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$. We have been able now to remove the reflection symmetry assumption, thus treating the non-diagonal case. Apart from the increasing complexity the methods have been essentially the same as in the diagonal case, showing that they are thus quite powerful. Here the challenge was to put the equations in a form that permits the use of the previous results. We are able to conclude that after a possible basis change the future of the non-diagonal spacetimes in consideration is asymptotically diagonal.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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