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First-order formalism for scalar field in cosmology

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D. Bazeia, L. Losano, J.J. Rodrigues

High Energy Physics - Theory · Submitted 2 Oct 2006

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

The authors' main claim The method seems to have great power, since it works for closed, flat or open space-time, for scalar fields with both standard and tachyonic dynamics.

how it is stated · hedged possibility 0.80 read the record →

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arXiv IDhep-th/0610028 (version 1)
Pith IDHCJNWBUG, Pith's permanent record of this paper and its review
CitationD. Bazeia, J.J. Rodrigues, L. Losano. "First-order formalism for scalar field in cosmology." arXiv:hep-th/0610028 (2006). https://pith.science/paper/HCJNWBUG
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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, 2,885 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.13 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We present a general procedure to solve the equations of motion for cosmological models driven by real scalar fields with first-order differential equations. The method seems to have great power, since it works for closed, flat or open space-time, for scalar fields with both standard and tachyonic dynamics. We illustrate the procedure solving several examples which model situations of current interest to modern cosmology.

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 We present a general procedure to solve the equations of motion for cosmological models driven by real scalar fields with first-order differential equations. contribution 0.79 0.94 0.46 asserted 1.00
s1 The method seems to have great power, since it works for closed, flat or open space-time, for scalar fields with both standard and tachyonic dynamics. interpretation 0.57 0.67 0.27 hedged possibility 0.80
s2 We illustrate the procedure solving several examples which model situations of current interest to modern cosmology. contribution 0.72 0.95 0.10 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from proof or derivation 1.00.

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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

We present a general procedure to solve the equations of motion for cosmological models driven by real scalar fields with first-order differential equations. The method seems to have great power, since it works for closed, flat or open space-time, for scalar fields with both standard and tachyonic dynamics. We illustrate the procedure solving several examples which model situations of current interest to modern cosmology.

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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
  • To solve these equations, we introduce the following first-order formalism[This is a multi-field generalization of the first-order formalism in Ref. [ref] , where the authors first established the same first-order formalism for cosmological models with a single scalar.]: [equation] where $α>0$ is a positive parameter, $W$ and $Z$ are functions of ${ϕ^I}$, and are called as the superpotentials.

    Cosmological twinlike models with multi scalar fields · The canonical model and the first-order formalism · 0.99

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