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Conformal transformations and Nordstr\"om's scalar theory of gravity

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Nathalie Deruelle, Misao Sasaki

General Relativity and Quantum Cosmology · Submitted 24 Dec 2010

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

The authors' main claim We show in particular that they could be useful to extend manifolds through curvature singularities.

how it is stated · hedged possibility 0.88 read the record →

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arXiv ID1012.5386 (version 1)
Pith IDLHQ2LBII, Pith's permanent record of this paper and its review
CitationMisao Sasaki, Nathalie Deruelle. "Conformal transformations and Nordstr\"om's scalar theory of gravity." arXiv:1012.5386 (2010). https://pith.science/paper/LHQ2LBII
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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, 2,858 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.27 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

As we shall briefly recall, Nordstr\"om's theory of gravity is observationally ruled out. It is however an interesting example of non-minimal coupling of matter to gravity and of the role of conformal transformations. We show in particular that they could be useful to extend manifolds through curvature singularities.

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 As we shall briefly recall, Nordstr\"om's theory of gravity is observationally ruled out. background 1.00 0.05 0.07 asserted 1.00
s1 It is however an interesting example of non-minimal coupling of matter to gravity and of the role of conformal transformations. background 0.95 0.10 0.07 asserted 0.99
s2 We show in particular that they could be useful to extend manifolds through curvature singularities. result 0.68 0.86 0.69 hedged possibility 0.88

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.90.

What was examined, and what was not

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  • 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

As we shall briefly recall, Nordstr\"om's theory of gravity is observationally ruled out. It is however an interesting example of non-minimal coupling of matter to gravity and of the role of conformal transformations. We show in particular that they could be useful to extend manifolds through curvature singularities.

Human review

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How the literature uses it

2 arXiv papers cite this in 3 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

Papers citing it

Cites it as background 2 papers

What it cites · 4 sentences without a confident label

Cites as background 1 paper
  • Conformal transformations between Jordan and Einstein “frames" (that is, metrics) are currently extensively used in e.g. “modified-gravity" theories, such as those based on $f(R)$ actions often invoked to model dark energy (see e.g. [ref] for a review).

    f(R) theories · Introduction · 0.98

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