Pith. Sign in

RECORD

Integro-differential equation for brane-world cosmological perturbations

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Shinji Mukohyama

High Energy Physics - Theory · Submitted 23 Apr 2001

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

The authors' main claim Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and another of them is an integro-differential equation whose kernel is constructed formally from the Z_2-symmetric retarded Green's function of the bulk gravitational waves.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDhep-th/0104185 (version 4)
Pith IDOICAPNNQ, Pith's permanent record of this paper and its review
CitationShinji Mukohyama. "Integro-differential equation for brane-world cosmological perturbations." arXiv:hep-th/0104185 (2001). https://pith.science/paper/OICAPNNQ
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,277 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.37 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

Cosmological perturbations in the brane-world cosmology with a positive tension brane in the AdS background bulk geometry is analyzed by using the doubly gauge-invariant formalism. We derive four independent equations for scalar perturbations in the plane symmetric (K=0) background. Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and another of them is an integro-differential equation whose kernel is constructed formally from the Z_2-symmetric retarded Green's function of the bulk gravitational waves. We compare these four equations with the corresponding equations in the standard cosmology. As a by-product, we also obtain a set of equations which may be useful in numerical calculations.

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 Cosmological perturbations in the brane-world cosmology with a positive tension brane in the AdS background bulk geometry is analyzed by using the doubly gauge-invariant formalism. contribution 0.72 0.89 0.06 asserted 1.00
s1 We derive four independent equations for scalar perturbations in the plane symmetric (K=0) background. result 0.62 0.97 0.12 asserted 1.00
s2 Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and another of them is an integro-differential equation whose kernel is constructed formally from the Z_2-symmetric retarded Green's function of the bulk gravitational waves. result 0.77 0.94 0.44 asserted 1.00
s3 We compare these four equations with the corresponding equations in the standard cosmology. contribution 0.64 0.94 0.06 asserted 0.94
s4 As a by-product, we also obtain a set of equations which may be useful in numerical calculations. result 0.71 0.94 0.05 hedged possibility 0.98

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 v4
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

Cosmological perturbations in the brane-world cosmology with a positive tension brane in the AdS background bulk geometry is analyzed by using the doubly gauge-invariant formalism. We derive four independent equations for scalar perturbations in the plane symmetric (K=0) background. Three of these equations are differential equations written in terms of gauge invariant variables on the brane only, and another of them is an integro-differential equation whose kernel is constructed formally from the Z_2-symmetric retarded Green's function of the bulk gravitational waves. We compare these four equations with the corresponding equations in the standard cosmology. As a by-product, we also obtain a set of equations which may be useful in numerical calculations.

Human review

How Pith checks papers → · Full audit of this paper →

References
How the literature uses it

4 arXiv papers cite this in 8 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 · 6 sentences without a confident label

Cites it as background 2 papers
  • Although we understand how cosmological perturbations grow on the minimal phantom brane [ref] , we are not completely sure about the case with large contributions from dark radiation ($$) and bulk cosmological constant ($$).

    Phantom braneworld and the Hubble tension · CMB reduced parameters · 0.90

  • The theory of gauge-invariant perturbations in brane-world cosmology has been extensively investigated and developed [ref] and is qualitatively well understood.

    Brane-World Gravity · Brane-World Cosmology: Perturbations · 0.91

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.