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Brane-world cosmology

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Daisuke Ida

General Relativity and Quantum Cosmology · Submitted 1 Dec 1999

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

The authors' main claim The resulting Friedmann equation recovers standard cosmology, and a new term arises if the assumption $Z_2$-symmetry is dropped, which behaves as cosmological term in the early universe, next turns to negative curvature term, and finally damps rapidly.

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arXiv IDgr-qc/9912002 (version 1)
Pith IDELZ6VUDT, Pith's permanent record of this paper and its review
CitationDaisuke Ida. "Brane-world cosmology." arXiv:gr-qc/9912002 (1999). https://pith.science/paper/ELZ6VUDT
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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, 3,116 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.57 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

A simple model of the brane-world cosmology has been proposed, which is characterized by four parameters, the bulk cosmological constant, the spatial curvature of the universe, the radiation strength arising from bulk space-time and the breaking parameter of $Z_2$-symmetry. The bulk space-time is assumed to be locally static five-dimensional analogue of the Schwarzschild-anti-de Sitter space-time, and then the location of three-brane is determined by metric junction. The resulting Friedmann equation recovers standard cosmology, and a new term arises if the assumption $Z_2$-symmetry is dropped, which behaves as cosmological term in the early universe, next turns to negative curvature term, and finally damps rapidly.

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 A simple model of the brane-world cosmology has been proposed, which is characterized by four parameters, the bulk cosmological constant, the spatial curvature of the universe, the radiation strength arising from bulk space-time and the breaking parameter of $Z_2$-symmetry. contribution 0.91 0.81 0.09 asserted 1.00
s1 The bulk space-time is assumed to be locally static five-dimensional analogue of the Schwarzschild-anti-de Sitter space-time, and then the location of three-brane is determined by metric junction. method 0.99 0.65 0.04 asserted 0.99
s2 The resulting Friedmann equation recovers standard cosmology, and a new term arises if the assumption $Z_2$-symmetry is dropped, which behaves as cosmological term in the early universe, next turns to negative curvature term, and finally damps rapidly. result 1.00 0.86 0.72 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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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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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

A simple model of the brane-world cosmology has been proposed, which is characterized by four parameters, the bulk cosmological constant, the spatial curvature of the universe, the radiation strength arising from bulk space-time and the breaking parameter of $Z_2$-symmetry. The bulk space-time is assumed to be locally static five-dimensional analogue of the Schwarzschild-anti-de Sitter space-time, and then the location of three-brane is determined by metric junction. The resulting Friedmann equation recovers standard cosmology, and a new term arises if the assumption $Z_2$-symmetry is dropped, which behaves as cosmological term in the early universe, next turns to negative curvature term, and finally damps rapidly.

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References
How the literature uses it

36 arXiv papers cite this in 48 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 · 26 sentences without a confident label

Cites it as background 21 papers
  • The spacetime geometry can be characterized using the bulk-based metric formalisms [ref] , [equation] where the maximally symmetric subspace can be expressed as [equation] In this framework, the curvature radius of our three-dimensional spatial hypersurface $(r, θ, φ)$ is governed by the parameter $k$ where $k = 0$ describes a flat space, $k = 1$ characterizes a spherical space, and $k = -1$ represents a hyperbolic space.

    Causality of brane universe via the general bulk-based formalisms with the non-zero Schwarzschild mass · The background · 0.85

  • There are two well-known 5-dimensional brane-world cosmologies, namely, the Randall-Sundrum (RS) brane-world cosmology [ref] (for a review, see [ref] , references therein) and the Gauss-Bonnet (GB) brane-world cosmology [ref] .

    Higgs-Portal Dark Matter in Brane-World Cosmology · Introduction · 1.00

  • Usually the brane is modeled as a distributional source in the energy-momentum tensor (EMT) of zero thickness, and in this case the cosmology has been obtained and analyzed in detail [ref] .

    Is Thick Brane Model Consistent with the Recent Observations? · Introduction · 0.89

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