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New Einstein-Maxwell fields of Levi-Civita's type

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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L. Richterek, J. Novotny, J. Horsky

General Relativity and Quantum Cosmology · Submitted 2 Mar 2000

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

The authors' main claim It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell fields and each of those classes is found explicitly.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0003004 (version 1)
Pith ID77LA2QMF, Pith's permanent record of this paper and its review
CitationJ. Horsky, J. Novotny, L. Richterek. "New Einstein-Maxwell fields of Levi-Civita's type." arXiv:gr-qc/0003004 (2000). https://pith.science/paper/77LA2QMF
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The compiled record

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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,484 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The method based on the Horsky-Mitskievitch conjecture is applied to the Levi-Civita vacuum metric. It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell fields and each of those classes is found explicitly. Some of obtained classes are quite new. Radial geodesic motion in constructed space-times is discussed and graphically illustrated in the Appendix.

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 The method based on the Horsky-Mitskievitch conjecture is applied to the Levi-Civita vacuum metric. method 0.98 0.85 0.06 asserted 1.00
s1 It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell fields and each of those classes is found explicitly. result 0.97 0.93 0.71 asserted 1.00
s2 Some of obtained classes are quite new. result 0.72 0.89 0.16 asserted 0.99
s3 Radial geodesic motion in constructed space-times is discussed and graphically illustrated in the Appendix. contribution 0.83 0.92 0.04 asserted 0.99

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
not run
  • 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

The method based on the Horsky-Mitskievitch conjecture is applied to the Levi-Civita vacuum metric. It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell fields and each of those classes is found explicitly. Some of obtained classes are quite new. Radial geodesic motion in constructed space-times is discussed and graphically illustrated in the Appendix.

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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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