High Energy Physics - Theory · arXiv:hep-th/0201051 v3 · submitted 8 Jan 2002
Thick de Sitter 3-Branes, Dynamic Black Holes and Localization of Gravity
The paper says
“The gravitational field is localized in a small region near the center of the 3-brane.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is studied, assuming a scalar field with potential is present in the bulk. A class of solutions is found in closed form that can represent a thick de Sitter 3-brane interpolating either between two dynamical black holes with a R × S4 topology or between two Rindler-like spacetimes with a R2 × S3 topology. The gravitational field is localized in a small region near the center of the 3-brane. The analysis of graviton fluctuations shows that a zero mode exists and separates itself from a set of continuous modes by a mass gap. The existence of such a mass gap is shown to be universal. The scalar perturbations are also studied and shown to be stable.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.06 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The embedding of a thick de Sitter 3-brane into a five-dimensional bulk is studied, assuming a scalar field with potential is present in the bulk. | contribution 0.63 | 0.74 | 0.04 | asserted 0.89 |
| A class of solutions is found in closed form that can represent a thick de Sitter 3-brane interpolating either between two dynamical black holes with a $R \times S_{4}$ topology or between two Rindler-like spacetimes with a $R_{2}\times S_{3}$ topology. | result 0.82 | 0.95 | 0.19 | asserted 0.97 |
| The gravitational field is localized in a small region near the center of the 3-brane. | result 1.00 | 0.86 | 0.33 | asserted 1.00 |
| The analysis of graviton fluctuations shows that a zero mode exists and separates itself from a set of continuous modes by a mass gap. | result 0.98 | 0.93 | 0.26 | asserted 1.00 |
| The existence of such a mass gap is shown to be universal. | result 0.85 | 0.87 | 0.20 | asserted 1.00 |
| The scalar perturbations are also studied and shown to be stable. | result 0.98 | 0.94 | 0.07 | 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 v3
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- full text
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- references and citing sentences
- relations to other papers
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- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,893 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 6 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Complex scalar field thick branes: stability of linear perturbation and evolution of scalar Kaluza-Klein modes coupled with gravity hep-th · Sep 2026
- Quasinormal Ringing of de Sitter Braneworlds gr-qc · Dec 2024
- Real Part Emergence in Purely Imaginary Quasinormal Modes in Perturbed de Sitter Braneworlds gr-qc · Jun 2026
- Domain wall brane in squared curvature gravity hep-th · Apr 2011
- Fermion localization on thick branes hep-th · Jan 2006
- Introduction to Extra Dimensions and Thick Braneworlds hep-th · Jul 2017
How the literature uses it
22 arXiv papers cite this in 42 sentences
Papers citing it · 21 sentences without a confident label
Uses its method or tool 2 papers
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Following the arguments in Refs. [ref] , one can get the scalar perturbations in the metric ([ref]) with the longitudinal gauge: [equation] The equations of the scalar perturbation in the Schr$ö$dinger-like form are read as [ref] :
de Sitter Thick Brane Solution in Weyl Geometry · Metric perturbations · 0.96
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There is another approach to study the localization of gravity modes around the vortex [ref] [ref] in an exact way, the equation ([ref]) could be written as [equation] that could be converted with the change of variables [equation] into a 1 dimensional stationary Schrödinger equation with zero eingë nvalue: [equation] here [equation] Note by squaring and integrating ([ref]) that if $u_υ$ is a bounded state, then $ϕ_υ$ is also bounded.
Localized Gravity on Topological Abelian Higgs Strings · Localized gravity on the topological string-vortex · 0.92
Compares with it 2 papers
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This set of equations is identical with the field equations of the de Sitter thick brane in the Riemann geometry [ref] .
de Sitter Thick Brane Solution in Weyl Geometry · The model · 0.90
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We have identified certain universal properties across different types of perturbations and bulk matter fields. * When $0<n<1$, all of the effective potentials approach infinity at the boundaries, which is similar to the behavior observed in AdS thick branes [ref] . * When $n=1$, these potentials approach a constant value at the boundaries, resembling the mass gap observed in de Sitter (dS) thick branes [ref] . * When $n>1$, these potentials approach zero at the boundaries, which is what we commonly refer to as a volcano-like potential, corresponding to Poincaré thick branes [ref] .
Quasinormal ringing of thick braneworlds with a finite extra dimension · Properties of effective potentials · 0.86
Cites it as background 13 papers
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In both cases, it is possible to consider de-Sitter (dS) scenarios with metrics similar to the Friedmann-Robertson-Walker solution [ref] , where the dS brane, unlike the static cases, could be the boundary between two flat spaces or, in more general cases, with positive curvatures.
Newtonian gravity and resonance on de-Sitter branes · Introduction · 0.86
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In addition, the stability of such models has been investigated for the case of non-compact $$ and one [ref] or several [ref] minimally coupled scalars, and for $$ compact and a flat metric [ref] .
Periodic thick-brane configurations and their stability · Introduction · 0.82
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There are a lot of references for the thick brane models and localization of gravity and matter fields [ref] , see Refs. [ref] for reviews.
Effective action of a self-interacting scalar field on brane · Introduction · 0.97
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