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Nonlinear Lagrangians of the Ricci type

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Andrzej Borowiec

General Relativity and Quantum Cosmology · Submitted 13 Jun 1999

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

The authors' main claim Polynomial structures with Einstein metrics appear among extremals of this variational problem.

how it is stated · asserted 0.98 read the record →

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arXiv IDgr-qc/9906043 (version 1)
Pith IDYB7TZNM6, Pith's permanent record of this paper and its review
CitationAndrzej Borowiec. "Nonlinear Lagrangians of the Ricci type." arXiv:gr-qc/9906043 (1999). https://pith.science/paper/YB7TZNM6
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,203 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The Euler-Lagrange equations for some class of gravitational actions are calculated by means of Palatini principle. Polynomial structures with Einstein metrics appear among extremals of this variational problem.

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 Euler-Lagrange equations for some class of gravitational actions are calculated by means of Palatini principle. method 0.97 0.81 0.09 asserted 1.00
s1 Polynomial structures with Einstein metrics appear among extremals of this variational problem. result 1.00 0.77 0.48 asserted 0.98

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

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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 Euler-Lagrange equations for some class of gravitational actions are calculated by means of Palatini principle. Polynomial structures with Einstein metrics appear among extremals of this variational problem.

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1 arXiv paper cite this in 2 sentences

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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