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Cosmic vorticity on the brane

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Helen A. Bridgman, Karim A. Malik, David Wands

High Energy Physics - Theory · Submitted 17 Oct 2000

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

The authors' main claim However, we present the second-order effective action for vector perturbations and find no normalisable zero-mode in the absence of matter sources.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0010133 (version 2)
Pith IDXEEHOI4P, Pith's permanent record of this paper and its review
CitationDavid Wands, Helen A. Bridgman, Karim A. Malik. "Cosmic vorticity on the brane." arXiv:hep-th/0010133 (2000). https://pith.science/paper/XEEHOI4P
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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, 4,226 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.87 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.23 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We study vector perturbations about four-dimensional brane-world cosmologies embedded in a five-dimensional vacuum bulk. Even in the absence of matter perturbations, vector perturbations in the bulk metric can support vector metric perturbations on the brane. We show that during de Sitter inflation on the brane vector perturbations in the bulk obey the same wave equation for a massless five-dimensional field as found for tensor perturbations. However, we present the second-order effective action for vector perturbations and find no normalisable zero-mode in the absence of matter sources. The spectrum of normalisable states is a continuum of massive modes that remain in the vacuum state during inflation.

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 study vector perturbations about four-dimensional brane-world cosmologies embedded in a five-dimensional vacuum bulk. contribution 0.84 0.88 0.04 asserted 0.84
s1 Even in the absence of matter perturbations, vector perturbations in the bulk metric can support vector metric perturbations on the brane. result 0.93 0.40 0.19 asserted 0.69
s2 We show that during de Sitter inflation on the brane vector perturbations in the bulk obey the same wave equation for a massless five-dimensional field as found for tensor perturbations. result 0.94 0.90 0.17 asserted 1.00
s3 However, we present the second-order effective action for vector perturbations and find no normalisable zero-mode in the absence of matter sources. result 0.98 0.97 0.43 asserted 1.00
s4 The spectrum of normalisable states is a continuum of massive modes that remain in the vacuum state during inflation. result 0.99 0.88 0.31 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

sources read
  • arXiv listing abstract v2
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

We study vector perturbations about four-dimensional brane-world cosmologies embedded in a five-dimensional vacuum bulk. Even in the absence of matter perturbations, vector perturbations in the bulk metric can support vector metric perturbations on the brane. We show that during de Sitter inflation on the brane vector perturbations in the bulk obey the same wave equation for a massless five-dimensional field as found for tensor perturbations. However, we present the second-order effective action for vector perturbations and find no normalisable zero-mode in the absence of matter sources. The spectrum of normalisable states is a continuum of massive modes that remain in the vacuum state during inflation.

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References
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1 arXiv paper cite this in 1 sentence

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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