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Kaluza-Klein Reduction of a Quadratic Curvature Model

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S. Baskal, H. Kuyrukcu

General Relativity and Quantum Cosmology · Submitted 9 Apr 2010

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

The authors' main claim It is shown that the Lorentz force naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory is demonstrated to be intrinsically contained in this model.

how it is stated · asserted 1.00 read the record →

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arXiv ID1004.1546 (version 1)
Pith IDBRBAJCYJ, Pith's permanent record of this paper and its review
CitationH. Kuyrukcu, S. Baskal. "Kaluza-Klein Reduction of a Quadratic Curvature Model." arXiv:1004.1546 (2010). https://pith.science/paper/BRBAJCYJ
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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, 4,221 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.21 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with electromagnetism and the scalar dilaton field is achieved through the Kaluza-Klein dimensional reduction mechanism. The reduced curvature invariant, field equations and the stress-energy tensor in four dimensional spacetime are obtained. The structure of the interactions among the constituent fields is exhibited in detail. It is shown that the Lorentz force naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory is demonstrated to be intrinsically contained in this model.

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 Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. method 0.90 0.90 0.11 asserted 1.00
s1 Unification of gravity with electromagnetism and the scalar dilaton field is achieved through the Kaluza-Klein dimensional reduction mechanism. result 0.65 0.81 0.40 asserted 1.00
s2 The reduced curvature invariant, field equations and the stress-energy tensor in four dimensional spacetime are obtained. result 0.81 0.92 0.15 asserted 1.00
s3 The structure of the interactions among the constituent fields is exhibited in detail. result 0.55 0.89 0.08 asserted 0.98
s4 It is shown that the Lorentz force naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory is demonstrated to be intrinsically contained in this model. result 0.93 0.89 0.51 asserted 1.00

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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  • references and citing sentences
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  • 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

Palatini variational principle is implemented on a five dimensional quadratic curvature gravity model, rendering two sets of equations which can be interpreted as the field equations and the stress-energy tensor. Unification of gravity with electromagnetism and the scalar dilaton field is achieved through the Kaluza-Klein dimensional reduction mechanism. The reduced curvature invariant, field equations and the stress-energy tensor in four dimensional spacetime are obtained. The structure of the interactions among the constituent fields is exhibited in detail. It is shown that the Lorentz force naturally emerges from the reduced field equations and the equations of the standard Kaluza-Klein theory is demonstrated to be intrinsically contained in this model.

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References
How the literature uses it

2 arXiv papers 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

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper
  • We just find some studies of the conditions in which metric and Palatini scalar-tensor theories lead to the same field equations [ref] , on how dimensional reduction in $5-$dimensional Kaluza-Klein theory compares with the metric approach [ref] , an attempt to unify gravitation and electromagnetism in a $5-$dimensional quadratic curvature model [ref] , and some applications to inflationary cosmology [ref] and its perturbations [ref] in $f(R)$ and scalar-tensor models.

    Palatini Approach to Modified Gravity: f(R) Theories and Beyond · Other Palatini theories. · 0.89

What it cites · 1 sentence without a confident label

Cites as background 1 paper
  • The almost ninety years old Kaluza-Klein (KK) theory unifying electromagnetism with gravity in 5D [ref] , currently appears as a part of more involved models [ref] , may still have some aspects that deserve to be investigated in their own right.

    Kaluza-Klein Theory in Perspective · Introduction · 1.00

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