An Einstein-like theory of gravity with a non-newtonian weak-field limit

Mariano Cadoni

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An Einstein-like theory of gravity with a non-newtonian weak-field limit

Mariano Cadoni

General Relativity and Quantum Cosmology · Submitted 9 Dec 2003

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

The authors' main claim Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter.

how it is stated · hedged possibility 0.89 read the record →

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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, 4,125 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.92 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.23 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \ln r . The Newtonian term GM/r appears only as subleading. Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter. This can be achieved only by giving up at galactic scales Einstein equivalence principle.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential.	contribution 0.89	0.81	0.08	asserted 0.94
s1	We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \ln r .	result 0.98	0.94	0.33	asserted 1.00
s2	The Newtonian term GM/r appears only as subleading.	result 1.00	0.81	0.13	asserted 1.00
s3	Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter.	interpretation 0.89	0.64	0.46	hedged possibility 0.89
s4	This can be achieved only by giving up at galactic scales Einstein equivalence principle.	limitation 0.73	0.56	0.24	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

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

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as \ln r . The Newtonian term GM/r appears only as subleading. Our model can be used to give a phenomenological explanation of the rotation curves of the galaxies without postulating the presence of dark matter. This can be achieved only by giving up at galactic scales Einstein equivalence principle.

Human review

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How the literature uses it

1 arXiv paper cite this in 4 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 · 3 sentences without a confident label

Builds on it 1 paper

In this paper we show that the existence of a $ln(r/L)$ weak-field limit is not restricted to the particular model of Ref. [ref] , but is a quite generic feature of a broad class of models of gravity coupled with a scalar field.

General models of Einstein gravity with a non-Newtonian weak-field limit · Introduction · 0.96

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