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Scalar perturbations in Randall-Sundrum braneworld cosmology
Astrophysics · Submitted 24 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry.
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The abstract, sentence by sentence
We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it may have some bearing on the formation of primordial black holes in Randall-Sundrum models.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. | contribution 0.60 | 0.95 | 0.06 | asserted 0.92 |
| s1 | We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. | result 1.00 | 0.95 | 0.58 | asserted 1.00 |
| s2 | Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. | result 1.00 | 0.94 | 0.24 | asserted 1.00 |
| s3 | Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it may have some bearing on the formation of primordial black holes in Randall-Sundrum models. | interpretation 0.99 | 0.33 | 0.08 | hedged possibility 1.00 |
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The paper
Original abstract
We study the evolution of scalar perturbations in the radiation-dominated era of Randall-Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find that density perturbations with wavelengths less than a critical value (set by the bulk curvature length) are amplified during horizon re-entry. Conversely, we explicitly confirm from simulations that the spectrum is identical to GR on large scales. Although this magnification is not relevant for the cosmic microwave background or measurements of large scale structure, it may have some bearing on the formation of primordial black holes in Randall-Sundrum models.
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What this paper does with the arXiv papers it cites
What it cites · 2 sentences without a confident label
Uses the method or tool of 2 papers
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We use two different numerical codes recently developed in Refs. [ref] , which gives us the ability to confirm the consistency of our numeric results via two independent algorithms.
Numerical study of curvature perturbations in a brane-world inflation at high-energies · Introduction · 1.00
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We use two different numerical codes recently developed in Refs. [ref] , which gives us the ability to confirm the consistency of our numeric results via two independent algorithms.
Coupled bulk and brane fields about a de Sitter brane · Introduction · 1.00
Uses data or values from 1 paper
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Current laboratory tests of Newton's law constrain $ℓ$ to be less than around $0.1 mm$ [ref] .
Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale · Introduction · 0.87
Cites as support 2 papers
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The reason is that we know that the gravitational force of attraction in the RS model is stronger than in GR on scales less than $ℓ$ [ref] .
An Alternative to Compactification · Introduction · 0.97
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The reason is that we know that the gravitational force of attraction in the RS model is stronger than in GR on scales less than $ℓ$ [ref] .
Gravity in the Randall-Sundrum Brane World · Introduction · 0.97
Cites as background 3 papers
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The KK modes are governed by master partial differential equations (PDEs) defined throughout the AdS bulk [ref] .
Gauge-invariant gravitational perturbations of maximally symmetric spacetimes · Introduction · 0.80
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The KK modes are governed by master partial differential equations (PDEs) defined throughout the AdS bulk [ref] .
Brane World Cosmology - Gauge-Invariant Formalism for Perturbation · Introduction · 0.80
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The Randall-Sundrum (RS) braneworld model [ref] postulates that our observable universe is a thin 4-dimensional hypersurface residing in 5-dimensional anti-de Sitter (AdS) space.
An Alternative to Compactification · Introduction · 1.00
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